Annualreport 2010 2011

C CENTRE R DERECHERCHES M MATHÉMATIQUES

AnnualReport 2010 2011

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ii C CENTRE R DERECHERCHES M MATHÉMATIQUES

AnnualReport 2010 2011

iii Centre de recherches mathématiques Université de Montréal C.P. 6128, succ. Centre-ville Montréal, QC H3C 3J7 Canada [email protected]

Also available on the CRM website http://crm.math.ca/docs/docRap_an.shtml.

Presenting the Annual Report 2010 – 2011 1

ematic Program 4 ematic Programs of the Year 2010 – 2011: “Geometric, Combinatorial and Computational Group e- ory” and “Statistics” ...... 5 Aisenstadt Chairholders in 2010 – 2011: Yuri Gurevich, Angus Macintyre, Alexander Razborov, and James Robins ...... 6 Activities of the ematic Semesters ...... 9 Past ematic Programs ...... 21

General Program 23 CRM activities ...... 24 Colloquium Series ...... 36

Multidisciplinary and Industrial Program 39 Activities of the Climate Change and Sustainability Program ...... 40 Activities of the Multidisciplinary and Industrial Program ...... 41

CRM Prizes 47 CRM – Fields – PIMS Prize 2011 Awarded to Mark Lewis ...... 48 André-Aisenstadt Prize 2011 Awarded to Joel Kamnitzer ...... 48 CAP – CRM Prize 2011 Awarded to Robert Brandenberger ...... 49 CRM – SSC Prize 2011 Awarded to Edward Susko ...... 50

e CRM Outreach Program 51 When the Earth Was Too Young for Darwin — Cédric Villani ...... 52 MSI: Anatomy of Integers and Permutations — Andrew Granville ...... 53 Mathematics that Swings: e Math behind Golf — Doug Arnold ...... 55

CRM Partnerships 57 CRM Partners ...... 58 Joint Initiatives ...... 61

Mathematical Education 62 Institut des sciences mathématiques (ISM) ...... 63 Other Joint Initiatives ...... 66

Research Laboratories 68 Applied Mathematics ...... 69 CICMA ...... 71 CIRGET ...... 72 GIREF ...... 74 INTRIQ ...... 76 LaCIM ...... 78 Mathematical Analysis ...... 81 Mathematical Physics ...... 83 PhysNum ...... 86 Statistics ...... 88

Publications 92 Recent Titles ...... 93 Previous Titles ...... 93

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Scientiﬁc Personnel 98 CRM Members in 2010 – 2011 ...... 99 Postdoctoral Fellows ...... 101 Visitors ...... 101

List of Students Having Graduated in 2010 – 2011 103 Ph.D. Students ...... 104 M.Sc. Students ...... 105

Governance and Scientiﬁc Guidance 109 Board of Directors ...... 110 International Scientiﬁc Advisory Commiee ...... 110

CRM Administrative and Support Staff 114 e Director’s Office ...... 115 Administration ...... 115 Scientific Activities ...... 115 Computer Services ...... 115 Publications ...... 115 Communications ...... 115

Mandate of the CRM 116

iv Presenting the Annual Report 2010 – 2011 C   

 2010 – 2011 two thematic semesters were orga- methodology, surfaces and representation theory, evo- I nized by the CRM. e first one was devoted to lutionary games, and discrete and algorithmic math- Geometric, Combinatorial and Computational Group ematics. e CRM awards four prizes, either on its eory and organized by Olga Kharlampovich (McGill own or in collaboration with other institutes or profes- University), Alexei Miasnikov (Stevens Institute of sional associations. In 2011 the CRM – Fields – PIMS Technology), and their colleagues (Benson Farb, Uni- Prize (the most prestigious Canadian mathematical versity of Chicago; Luis Ribes, Carleton University; prize) was awarded to Mark Lewis (University of Al- Mark Sapir, Vanderbilt University; and Efim Zel- berta). Joel Kamnitzer (University of Toronto) was the manov, University of California, San Diego). is recipient of the André-Aisenstadt Prize, awarded by semester featured five workshops, lectures at the lead- the CRM International Scientific Advisory Commiee ing edge, and series of Aisenstadt lectures; those events to a young Canadian mathematician. Edward Susko took place between August and October 2010. Of (Dalhousie University) was the recipient of the CRM – course group theory is a field of pure mathematics, SSC Prize, awarded by a joint commiee of the CRM but one of the goals of the semester was to demon- and the Statistical Society of Canada. Finally Robert strate and stimulate the new links between this field Brandenberger (McGill University) was the recipient and other areas of pure and applied mathematics, in- of the CAP – CRM Prize on eoretical and Mathemat- cluding applications to complexity theory and cryp- ical Physics, awarded by a joint commiee of the CRM tography (and thus computer science). e Aisenstadt and the Canadian Association of Physicists. Chairs for the group theory semester were Yuri Gure- In 2010 – 2011 the Grandes Conférences program con- vich (Microso Research), Angus MacIntyre (een tinued to enjoy a large success. e three lec- Mary, University of London), and Alexander Razborov tures were given respectively by Cédric Villani (Fields (University of Chicago). medallist and director of the Institut Henri-Poincaré), e second thematic semester of the year 2010-2011 Doug Arnold (University of Minnesota), and Andrew was devoted to statistics and organized by a commit- Granville (Université de Montréal). e CRM is proud tee including 15 researchers (11 researchers working to have extended financial support to 45 postdoctoral in Canadian universities and 4 in other public institu- fellows (all from outside ébec) in 2010 – 2011. is tions, including the Canadian Forest Service, the In- support demonstrates the scientific reach of the CRM stitut de recherches cliniques de Montréal, and the and its aractiveness for young researchers from all Hydro-ébec Research Institute). e semester on over the world. Note that the CRM does not award statistics featured 7 workshops, covering theoretical postdoctoral fellowships to Ph.D. students completing topics (causal inference, analysis of survival and event their studies in ébec universities; indeed all those history data, copula models and dependence) as well as universities are affiliated with the CRM and the goal methods applied to varied fields (meteorology, health, of the postdoctoral fellowship program is to offer di- genomics, and forest management). Two of the work- verse training experiences. Our Ph.D. students are of- shops (those on meteorology and forest management, fered fellowships in foreign countries and Ph.D. stu- respectively) were included in the Climate Change and dents from abroad apply for fellowships at the CRM. Sustainability Program, which also featured a course Each year 200 to 300 top-level students from all parts on viability theory by Professor Jean-Pierre Aubin of the world apply for postdoctoral fellowships at the (Université Paris-Dauphine) and a workshop on de- CRM. All professors at the large ébec universities cision analysis and sustainable development (a joint may look at the applications and take part in the fi- CRM – GERAD – MITACS workshop). e Aisenstadt nancing of a fellowship. Chair for the statistics semester was Professor James To conclude I would like to mention that in 2010 – 2011, Robins, from the Harvard School of Public Health. the CRM welcomed 2,133 researchers from all parts In 2010 – 2011 the CRM general program contributed of the world, including 55% of Canadian researchers. even more than usual to the financing of its labora- e CRM activities are numerous and varied and they tories activities, which covered topics such as num- demonstrate that the CRM plays a central role in the ber theory, cosmology, quantum cryptography, pro- advancement of science, be it in ébec, Canada, or gram construction, signal processing, bifurcation anal- the world. I also wish to thank the institutions that ysis, generation of combinatorial objects, statistical support the CRM, especially NSERC (Government of

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Canada), FQRNT (Government of ébec), the NSF (Unites States), the MITACS network, and the partner universities: ﬁrst the Université de Montréal, then UQAM, Concordia University, McGill University, Uni- versité Laval, the Université de Sherbrooke, and the University of Oawa.

François Lalonde, Director Centre de recherches mathématiques (CRM)

3 Thematic Program T P

 core of each year’s scientiﬁc program at the CRM is its thematic program. In 2010 – 2011 the thematic pro- T gram consisted of two semesters: a semester on geometric, combinatorial and computational group theory (from July to December 2010) and a semester on statistics (from January to June 2011). e CRM is very grateful to the National Science Foundation (NSF) for providing generous ﬁnancial support to the young American mathematicians who aended the activities of the thematic program in 2010 – 2011. e CRM is also grateful for the support extended to its thematic program by the following institutions: NSERC, FQRNT, the Mprime network, the Fields Institute for Research in Mathematical Sciences, Hydro-ébec, the Ministère des Ressources naturelles et de la Faune of ébec, the Statistical and Applied Mathematical Sciences Institute (SAMSI), the Ouranos consortium, and the Canadian Forest Service. e reports are presented in the language in which they were submied.

Thematic Programs of the Year 2010 – 2011 “Geometric, Combinatorial and Computational Group Theory” and “Statistics”

Geometric, Combinatorial and data analysis, and environmental statistics. e re- Computational Group Theory searchers participating in the semester included statisticians and experts in epidemiology, medicine, finance, e 2010 Fall Semester was devoted to developments in climate sciences, and forestry who use statistical mod- geometric, algorithmic, asymptotic group theory and els in their own research. e semester on statistics applications. People from various branches of math- had two main goals. e first one was to review the lat- ematics and computer science were brought together est mathematical developments in thriving areas of the to work on some open questions in the field from a statistical sciences. e second goal was the promo- fresh viewpoint. e major goals of the semester were tion of exchanges between statisticians and scientists to strengthen the connections between group theory in other disciplines and the highlighting of promising and other branches of mathematics and to highlight avenues for theoretical and applied research in statis- new and promising perspectives. A cornerstone of tics. ese goals were achieved through several work- the activities of the thematic semester was a collec- shops focusing on specific areas of statistics. tion of workshops covering related themes. ese e scientific commiee of the semester included the workshops were intertwined to benefit students, post- following researchers: Pierre Bernier (Canadian For- docs, and local participants. e organizing commit- est Service), Richard Cook (University of Waterloo), tee of the semester consisted of Olga Kharlampov- Anne-Catherine Favre (Université Laval), Christian ich (McGill University), Alexei G. Miasnikov (Stevens Genest (Université Laval), Raphael Goardo (Ins- Institute of Technology), Benson Farb (University of titut de recherches cliniques de Montréal), Aurélie Chicago), Luis Ribes (Carleton University), Mark Sapir Labbe (McGill University), Fabrice Larribe (Université (Vanderbilt University), and Efim Zelmanov (Univer- du ébec à Montréal), Jerry Lawless (University of sity of California, San Diego). Waterloo), Christian Léger (Université de Montréal), Statistics Erica E. M. Moodie (McGill University), Luc Perreault (Institut de recherche d’Hydro-ébec), Robert Pla e 2011 Winter Semester was devoted to branches of (McGill University), Louis-Paul Rivest (Université La- statistics that have undergone a vigorous development val), David A. Stephens (McGill University), Chhun- in recent years, such as causal inference, copula mod- Huor Ung (Canadian Forest Service). elling, survival and event history analysis, genomic

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Aisenstadt Chairholders in 2010 – 2011 Yuri Gurevich, Angus Macintyre, Alexander Razborov, and James Robins

Yuri Gurevich, Angus Macintyre, and Alexander real-world computability. In an interesting digression, Razborov were the Aisenstadt chairholders for the he also touched on the subject of what kind of math- semester on group theory and James Robins the Aisen- ematics and logic should be taught to modern so- stadt chairholder for the semester on statistics. ware developers, and his conclusions were surprising for many of us. In his third lecture, he described some Yuri Gurevich algorithmic problems that, unexpectedly, can be solved in linear time. Yuri Gurevich became famous for his pioneering works in logic, finite model theory, theory of computation, Angus Macintyre and computer science. He is currently Principal Re- searcher at Microso Research, where he created the Angus Macintyre is a famous model theorist, and has Foundations of Soware Engineering group, and pro- been a Fellow of the Royal Society since 1993. In 2003, fessor emeritus at the University of Michigan. He is he was awarded the Pólya Prize by the London Mathe- an ACM Fellow, a Guggenheim Fellow, a member of matical Society. Since 2009, he has served as the pres- Academia Europaea, and received honorary doctorates ident of the London Mathematical Society. from Universiteit Hasselt in Belgium and Ural State e subject of Professor Macintyre’s Aisenstadt lec- University in Russia. tures was the model-theoretic study of exponential e first lecture, entitled e Church – Turing esis: fields. A unital ring R is exponential if it is equipped Story and Recent Progress, concerned the most funda- with a function E : R → R such that E(x + y) = mental problems of computation: what are computable E(x)E(y) and E(0) = 1 hold. e most important ex- functions and what are algorithms. e thesis states amples of exponential rings are the fields of real num- that every numerical function computable by means bers and complex numbers with the analytically de- of a purely mechanical procedure is computable by a fined exponential. e first lecture of the series was Turing machine. is thesis heralded the dawn of the addressed to a general audience, and described the mo- computer revolution by enabling the construction of tivations and history of the subject, which goes back to the universal Turing machine, which led, at least con- the 1930s when Tarski posed the problem of extending ceptually, to the von Neumann computer architecture the model-theoretical work on the fields of real num- and to the first electronic computers. Gurevich ex- bers and complex numbers to the seing of these fields plained his recent paper with Nachum Dershowitz of equipped with the exponential functions. Ironically, Tel Aviv University, in which he makes an aempt to Tarski himself proved that the complex exponential formulate axioms embodying the generally accepted field is undecidable. is relatively superficial result properties of computability and then derive the the- inhibited for nearly 70 years any model-theoretic anal- sis from those axioms. Although the Church – Turing ysis of definitions in that structure. It took 60 years thesis clarifies the notion of computability, it does not to make a breakthrough on the case of the real expo- provide the definition of an algorithm. Indeed, it would nential, first through Wilkie’s theorem in 1991 stat- be hard to argue that Turing machine simulation gives ing that every formula of the real exponential field is an adequate description of a modern operational sys- equivalent to a boolean combination of existential for- tem. In his talk, Yuri Gurevich described a solution to mulas. ough Wilkie’s proof was not effective, the this problem based on abstract state machines. work of Macintyre and Wilkie in 1992 revealed that if In his second lecture, he discussed Security Policy as Schanuel’s Conjecture is true, then the process can be one of those fields where “engineers do logic.” e made effective. Microso engineers created a policy language called e second lecture started with a description of Evidential DKAL (where DKAL stands for Distributed Schanuel’s Conjecture or Schanuel’s Condition, which Knowledge Authorization Language). Yuri Gurevich plays a role in every aspect of the study of exponential presented this piece of applied logic and the issues of fields. e most important open problem in this field

6 T P is to determine whether the complex exponential field His first lecture dealt with some topics in extremal satisfies this condition. Most of the lecture was spent combinatorics, one of the branches of discrete mathe- on the theorems of Wilkie and those of Wilkie and matics, which studies how large (or small) a collection Macintyre mentioned above. e third lecture was fo- of finite objects can be if it has to satisfy certain restric- cused on Zilber’s construction of “existentially closed” tions. e area has undergone a period of spectacular exponential fields, and his identification of very nat- growth in the recent decades, and Alexander Razborov ural axioms for such fields. In a manner typical of reviewed some classical results and techniques from model theory, progress on specific classical structures this field. A substantial part of extremal combina- is oen made through the study of more general struc- torics studies relations existing between densities with tures (“nonstandard models”). e work of Zilber re- which certain given combinatorial structures (fixed- veals the amazing possibility that these axioms hold size “templates”) may appear in unknown (and pre- for the complex exponential field (as conjectured by sumably very large) structures of the same type. is Zilber). Professor Macintyre sketched the state of the was also the subject of the third lecture, dealing with art results in this area, including Zilber’s theorem stat- Flag algebras. ing that his field has a unique model of the cardinality e second lecture was concerned with the complex- of continuum. He also described some of the natural ity of propositional proofs, an area where the speaker questions about which the current knowledge is very is one of the world experts. e question underlying limited, particularly about the connection between Zil- propositional proof complexity is to determine when ber’s field and models of the theory of the real expo- interesting propositional tautologies possess efficient nential. proofs in a given propositional proof system. e e fourth lecture concentrated on the speaker’s very motivations for studying complexity of propositional recent work on Shapiro’s conjecture. He explained proofs come from algebra, automated theorem prov- how it has recently become clear that there is a deep ing and, of course, computational (especially circuit) connection between Ri’s Factorization eorem for complexity. Razborov described some of the methods classical exponential polynomials (going back to the in this area and gave the audience a feeling of the cur- 1920s) and definability questions arising in the model rent state of the art. Special aention was paid to al- theory, and described more connections between Zil- gebraic and geometric proof systems, such as Polyno- ber’s fields and the complex exponential fields. ese mial Calculus and various proof systems inspired by include results typically proven by analytic methods the Lovász – Schrijver relaxation procedures. for the complex field, and by algebraic methods for e last lecture, a colloquium lecture, was entitled Zilber’s field, a striking example involving exponen- Grand Challenges in Complexity eory. About 200 tial functions with no zeros (Schanuel Nullstellensatz). people aended this very entertaining presentation. Professor Macintyre concluded by discussing Shapiro’s e talk focused on classical computational complexity 50-year-old conjecture on pairs of exponential polyno- and proof complexity, and Razborov revealed some of mials with infinitely many common zeros. the beautiful and unexpected connections existing between the different branches of complexity theory. He Alexander Razborov discussed the “grand challenges” in the field, including Alexander Razborov won the Nevanlinna Prize in 1990 the “P vs. NP” question and questions about the power for introducing the “approximation method” in prov- of classical proof systems. ing Boolean circuit lower bounds of some essential James Robins algorithmic problems, and the Gödel Prize in 2007 (with Steven Rudich) for their paper Natural Proofs. e Aisenstadt chairholder for the 2011 ematic He was elected Corresponding Member of the Russian Semester in Statistics was James Robins, the Mitchell L. Academy of Sciences in 2000. Since 2008, he has been and Robin LaFoley Dong Professor of Epidemiology at the Andrew MacLeish Distinguished Service Professor the Harvard School of Public Health. e principal fo- in the Department of Computer Science at the Univer- cus of Dr. Robins’ research has been the development sity of Chicago. of analytic methods for drawing causal inferences from complex observational and randomized studies with

7 C    time-varying exposures or treatments. ese meth- workers; the effect of formaldehyde on the respiratory ods include G-estimation of structural nested models, disease mortality of a cohort of U.S. chemical workers; inverse probability-of-treatment weighted estimators and the effect of smoking cessation on subsequent my- of marginal structural models, and the parametric G- ocardial infarction and death within the MRFIT ran- formula estimator. e usual approach to the estima- domized trial. tion of the effect of a time-varying treatment or expo- Dr. Robins gave a series of three lectures during his sure on time to disease is to model the hazard incidence stay in Montréal in May 2011. His first talk, entitled t of failure at time as a function of past treatment his- Ontological Primacy of Causation versus Manipulation: tory using a time-dependent Cox proportional hazards e Case of the Pure Direct Effect, dwelt on the topic of model. Dr. Robins has shown that the usual approach direct effects and was given as part of the Workshop may be biased, whether or not one further adjusts for on Causal Inference in Health Research. Starting with past confounder history in the analysis, when the seemingly straightforward question: Does a binary (A) there exists a time-dependent risk factor for, or variable X have a direct causal effect on an outcome Y predictor of, the event of interest that also predicts that is not mediated through Z?, Dr. Robins explained subsequent treatment, and that this problem has been formalized in three different (B) past treatment history predicts subsequent risk ways in the recent literature: via the controlled direct factor level. effect (CDE), the principal stratum direct effect, or the Conditions (A) and (B) will be true whenever there pure direct effect. He showed that of these three defi- are time-dependent covariates that are simultaneously nitions, only the CDE is manipulable, and thus leads confounders and intermediate variables. to an implementable, real-world intervention strat- In contrast to previously proposed techniques, egy. Dr. Robins went on to show that two common Dr. Robins’ methods can: models for the CDE, his own Finest Fully Random- ized Causally Interpretable Structured Tree Graph (FFR- (i) be used to estimate the effect of a treatment (e.g., CISTG, Robins 1986) and the Non-parametric Structural prophylaxis for pneumocystis pneumonia or “PCP”) or Equation Model (NPSEM) of Pearl (2001), encoded dif- exposure on a disease outcome in the presence of time- ferent assumptions. He also stated that the NPSEM varying covariates (e.g., number of episodes of PCP) could be demonstrated to be a sub-model of the FFR- that are simultaneously confounders and intermediate CISTG. He concluded his lecture with a call to abandon variables on the causal pathway from exposure to the the use of models for contrasts whose predictions can- disease; not be refuted by any experimental predictions, and to (ii) allow an analyst to adjust appropriately for the ef- adopt manipulable causal contrasts whose parameters fects of concurrent nonrandomized treatments or non- are subject to experimental testing. random noncompliance in a randomized clinical trial Dr. Robins’ second lecture, entitled Modern Mathemat- (for example, in the AIDS Clinical Trial Group (ACTG) ical Methods for Drawing Causal Inferences from Obser- Trial 002 of the effects of high-dose versus low-dose vational Data, was geared towards a wide audience. AZT on the survival of AIDS patients, subjects in the It was delivered mid-way through the Workshop on low-dose arm had improved survival, but they also Causal Inference in Health Research. Dr. Robins ex- took more aerosolized pentamidine, a nonrandomized plained the difficulty in modelling time-varying expo- concurrent treatment); sures in a repeated measures study where exposure (iii) allow an analyst to adequately incorporate infor- may be mediated through variables that simultane- mation on the surrogate markers (e.g., CD4 count) in ously act as confounding variables for future exposures order to stop, at the earliest possible moment, random- and the outcome. He went on to explain how marginal ized trials up to the effect of the treatment (e.g., AZT) structural models using estimation via inverse weight- on survival. ing can overcome these modelling challenges, draw- Dr. Robins has applied his methods to analyze the ef- ing on examples in HIV from his seminal papers on fect of a nonrandomized treatment (aerosolized pen- causal inference for longitudinal data (e.g., Robins et tamidine) on the survival of AIDS patients in ACTG al., 2000). Dr. Robins’ third lecture, delivered during Trial 002; the effect of arsenic exposure on the mortal- the Workshop on Analysis of Survival and Event His- ity experience of a cohort of Montana copper smelter tory Data, was a technical description of Higher Order

8 T P

Inference in Complex Models. is lecture was a stim- Moshinsky, Sybren de Groot, Donald Knuth, Jacques- ulating seminar on the use of higher-order influence Louis Lions, R. Tyrrell Rockafellar, Yuval Ne’eman, functions that can be used to increase the degree of ro- Gian-Carlo Rota, Laurent Schwartz, Gérard Debreu, bustness of estimators based on coarsened data. Philip Holmes, Ronald Graham, Robert Langlands, Yuri Manin, Jerrold Marsden, Dan Voiculescu, James Aisenstadt Chair Arthur, Eugene B. Dynkin, David P. Ruelle, Robert Bryant, Blaine Lawson, Yves Meyer, Ioannis Karatzas, e Aisenstadt chair was endowed by Montréal phi- László Babai, Efim I. Zelmanov, Peter Hall, Sir David lanthropist Dr. André Aisenstadt. Under its auspices, Cox, Frans Oort, Joel S. Feldman, Roman Jackiw, one or more distinguished mathematicians are in- Duong H. Phong, Michael S. Waterman, Arthur T. vited each year for a period of at least one week, Winfree, Edward Frenkel, Laurent Lafforgue, George ideally one or two months. During their stay the Lusztig, László Lovász, Endre Szemerédi, Peter Sarnak, lecturers present a series of lectures on a specialized Shing-Tung Yau, omas Yizhao Hou, Andrew J. Ma- topic. ey are also invited to prepare a monograph jda, Manjul Bhargava, K. Soundararajan, Terence Tao, (see the chapter on publications in the present report Noga Alon, Paul Seymour, Richard Stanley, John J. for a list of these monographs). At the request of Tyson, John Rinzel, Gerhard Huisken, Jean-Christophe Dr. Aisenstadt, the first lecture given by an Aisenstadt Yoccoz, Wendelin Werner, Andrei Okounkov, Svante chairholder should be accessible to a wide audience. Janson, Craig Tracy, Stéphane Mallat, Claude Le Bris, Previous holders of the Aisenstadt chair are: Marc and Akshay Venkatesh. Kac, Eduardo Zarantonello, Robert Hermann, Marcos

Activities of the Thematic Semesters

Workshop sequence of conferences (the previous ones were held Geometric, Asymptotic, Combinatorial in Manresa, Spain; in Dortmund, Germany; and at the Group Theory with Applications (GAGTA) Stevens Institue of Technology, United States). Be- August 15 – 19, 2010, CRM cause some of the participants of this workshop were also planning to aend an ICM satellite conference in Organizers: Goa, this workshop exceptionally started on a Sunday. Olga Kharlampovich (McGill), Mark Sapir (Vanderbilt), is gathering was a big success: there were 64 partic- Nicholas Touikan (UQAM), Enric Ventura (UP Catalu- ipants and many beautiful new results were presented. nya) David Fisher and Mark Sapir gave mini-courses for this Speakers: workshop. David Fisher, in his mini-course asi- Elena Aladova (Bar-Ilan), Jason Behrstock (Lehman isometric Rigidity, presented some of his joint work Coll., CUNY), Lewis Bowen (Texas A&M), Alexan- with Alex Eskin and Kevin Whyte and that of Irene der Dranishnikov (Florida), Mikhail Ershov (Virginia), Peng, which gives a quasi-isometric classification of David Fisher (IU Bloomington), Daniel Groves (UIC), certain classes of virtually polycyclic groups. is re- Vincent Guirardel (Paul Sabatier), Anton Klyachko sult is one of the major recent breakthroughs in geo- (Moscow State), Gilbert Levi (Caen), Alex Lubotzky metric group theory and has generated a lot of excite- (HUJI), Alexei G. Miasnikov (Stevens Inst.), Alexan- ment. He sketched the proof and also indicated some der Yu. Olshanskii (Vanderbilt), Eugene Plotkin (Bar- of the obstacles to be overcome in order to achieve fur- Ilan), Marina Popova (Marina Popova & Assoc. Inc.), ther generalizations. Timothy Riley (Cornell), Mark Sapir, Diane Vavrichek (Montréal), Alina Vdovina (Newcastle, UK), Enric Ven- Mark Sapir gave the second mini-course, which was tura, Pascal Weil (Bordeaux 1), Efim Zelmanov (UC San entitled Asymptotic Cones of Groups. Although the first Diego) application of asymptotic cones to geometric group Number of participants: 64 theory was Mikhail Gromov’s celebrated theorem on groups of polynomial growth, Mark’s treatment was e first workshop of the thematic semester on group geared towards the study of “nonpositively curved” theory also happened to be the fourth in the GAGTA groups. He discussed their applications to Dehn Func-

9 C    tions, divergence of geodesics, and equations over Weil showed another very natural model of a “random groups. He also described the asymptotic cones of rel- subgroup” of a free group; this model is remarkable be- atively hyperbolic groups and mapping class groups. cause the arising algebraic properties are quite differ- Some very nice algorithmic results were presented ent from the standard random model. Mikhail Ershov during the workshop. Vincent Guirardel announced a introduced positive weighted deficiency and showed proof of the isomorphism problem for rigid residually how this could be used to construct examples of resid- hyperbolic groups. Alexander Olshanskii presented a ually finite groups whose every finitely generated sub- result that connected the space complexity of a group’s group is either finite or of finite index. word problem with some very natural and well-known Alexei Miasnikov gave a talk on large-scale first-order group invariants. Enric Ventura gave some conditions logic, a very general idea that applies to a multitude enabling one to construct recursive presentations of of structures, and discussed the large-scale first-order Mihailova’s subgroups (these are subgroups of the di- properties of Cayley graphs and of hyperbolic groups. rect product of two free groups for which we know that Elena Aladova presented the notion of logical sepa- the membership problem is undecidable). ese con- rability and an ambitious effort to give geometric in- ditions allowed for the construction of new examples terpretations to fundamental notions of model theory. of groups with pathological properties. Alex Lubotzky discussed presentations of finite sim- ere were also many new results in asymptotic group ple groups and sieve methods (see the following report theory. Jason Behrstock discussed the quasi-isomet- on Lectures at the Leading Edge). Eugene Plotkin sur- ric classification of 3-manifold groups; in particu- veyed new characterizations of finite solvable groups lar we were shown a very simple description of the and Alina Vdovina presented a new family of expander quasi-isometry classes of graph manifolds. Alexander graphs coming from finite groups with a very small Dranishnikov gave a presentation on the dimension number of generators and relations. growth of groups, a notion related to asymptotic di- e cultural content of this workshop was also greatly mension and growth, and showed how it could be com- enhanced by Marina Popova’s presentation, entitled puted in some instances. He ended with an intrigu- Abstract Art and Mathematics: At the Crossroads. Ma- ing open question relating sub-exponential dimension rina Popova discussed abstract art, her work, and how growth and amenability. Daniel Groves presented mathematical imagery has been inspiring to her as of some of his recent work on understanding the sets of late. Four of her beautiful paintings were on display at homomorphisms to mapping class groups, which ul- the CRM (on the fih floor of the Aisenstadt pavilion) timately should lead to an understanding of surface and all agreed that they added a very welcome touch bundles. of class to the workshop. Gilbert Levi presented a proof of finiteness properties Lectures at the Leading Edge of stabilizers of conjugacy classes of free groups and of Alex Lubotzky and Efim Zelmanov point stabilizers of points on the boundary of Culler – August 16 – 17, 2010 Vogtmann outer space. Lewis Bowen presented his remarkable result that a (finitely generated) free sub- e semester on group theory included prestigious group of a Lie group is, up to some small perturbations lectures (Lectures at the Leading Edge) given by Pro- and passing to a finite index subgroup, a subgroup fessor Efim Zelmanov and Professor Alex Lubotzky, of any co-compact laice. Diane Vavrichek talked respectively. ose lectures took place within the about some conditions for a subgroup to be essentially GAGTA workshop (see the previous report). Efim Zel- mapped to another subgroup via a quasi-isometry. manov is famous for his work in nonassociative alge- On the more combinatorial side of things we had bra and group theory, including his solution of the re- a presentation by Tim Riley on his hydra groups, stricted Burnside problem. He was awarded a Fields which are hugely distorted subgroups of surprisingly Medal at the International Congress of Mathemati- nice CAT(0), one-relator, free-by-cyclic groups. An- cians in Zürich in 1994. He obtained a doctoral de- ton Klyachko elaborated on some properties of groups gree at Novosibirsk State University in 1980, and a obtained by adding one generator and a special type of higher degree at Leningrad State University in 1985. relator to the presentation of a nontrivial group. Pascal He is a professor at the University of California, San

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Diego. Professor Zelmanov gave lectures in Mont- (Stevens Inst.), Alexei G. Miasnikov (Stevens Inst.), réal on several occasions, and was the CRM Aisenstadt Benjamin Steinberg (Carleton), Nicholas Touikan Chairholder in 1996. Efim Zelmanov’s Leading Edge (UQAM) Lecture, which he gave on August 16, 2010, was enti- Speakers: tled On Geometric eory of Algebras. In this lecture he Jorge Almeida (Porto), Gilbert Baumslag (CCNY), Eka- presented some new efforts to apply ideas of growth, terina Blagoveshchenskaya (Petersburg State Trans- expanders, and self-similarity to problems in the the- port University), Alexandre V. Borovik (Manchester), ory of algebras. Elena Bunina (Moscow State), Alfredo Costa (Coim- Alex Lubotzky is the Maurice and Clara Weil Chair bra), Elizaveta Frenkel (Moscow State), Sergei Ivanov in mathematics at the Einstein Institute of Mathemat- (UIUC), Mark Kambites (Manchester), Olga Kharlam- ics, which is famous for research in group theory, Lie povich, John Meakin (Nebraska — Lincoln), Alexei G. groups, combinatorics and field arithmetic. Profes- Miasnikov, Alexander A. Mikhalev (Moscow State), sor Lubotzky is a recipient of the Bergman Memo- Alexander V. Mikhalev (Moscow State), Andrey Niko- rial Prize of the United States-Israel Binational Sci- laev (McGill), Luis Ribes (Carleton), Paul E. Schupp ence Foundation (in cooperation with Professor Hy- (UIUC), Denis E. Serbin (Genève), Lev Shneerson man Bass of Columbia University). His other prizes in- (Hunter Coll., CUNY), Said Sidki (Brasília), Benjamin clude the 1991 Erdős Prize of the Israeli Mathematical Steinberg, Nicholas Touikan, Daniel T. Wise (McGill), Union (a prize awarded to the best Israeli mathemati- Pavel Zalesskii (Brasília) cian/computer scientist under the age of 40), the 1993 Number of participants: 46 Ferran Sunyer i Balaguer Prize (awarded by the Ins- e workshop included two mini-courses. e first, titut d’Estudis Catalans for the book Discrete Groups, given by Benjamin Steinberg, was entitled Automata Expanding Graphs and Invariant Measures), the 2002 eory and Algorithmic Problems in Groups. In this Rothschild Prize, and the 2002 Ferran Sunyer i Bala- mini-course Ben discussed the membership problems guer Prize for the book Subgroup Growth with Profes- for subgroups, submonoids, and rational subsets of sor Dan Segal. In 2005 he was elected Foreign Hon- groups. Ben taught us that automata are powerful orary Member of the American Academy of Arts and tools that can also be used to simplify certain proofs Sciences. In 2006 he received an honorary doctoral de- in group theory. e second mini-course, entitled Sub- gree from the University of Chicago, and in 2007 the group Membership Problem in Limit Groups, was given Rector’s Prize of the Hebrew University (for excellence by Denis Serbin. He described infinite words and the in research, teaching, and service to the university). He manner in which they could be applied to the study of is also the editor of many journals. limit groups; he also presented the Stallings foldings On August 16, 2010, Alex Lubotzky gave a Leading technique used to solve many important algorithmic Edge Lecture entitled Short Presentations of Finite Sim- problems in limit groups. ple Groups, and on August 17, a second Leading Edge Although there was an obvious overlap of interests be- Lecture entitled Sieve Methods in Group eory. In tween the first and second workshops of the thematic this second lecture he presented joint work with Chen semester, the second one had a definitely different, Meiri. For more details on the Leading Edge Lec- perhaps more multidimensional, feel. For example, tures of Professors Zelmanov and Lubotzky, we refer there were many interesting talks about semigroups the reader to an article by Olga Kharlampovich and and inverse monoids, not-so-distant yet wildly differ- Nicholas Touikan that appeared in the Fall 2010 issue ent cousins of groups. Lev Shneerson, John Meakin, of Le Bulletin du CRM. and Mark Kambites gave talks that involved techniques of combinatorial and geometric group theory applied Workshop to monoids and semigroups; these talks showed the Topics in Algorithmic and Geometric Group similarities between the fields but also made plain the and Semigroup Theory fact that some things are just a lot harder (but still fun) August 23 – 27, 2010 to do without inversions. Jorge Almeida and Alfredo Costa discussed the symbolic dynamics aspect of semi- Organizers: groups. Olga Kharlampovich (McGill), Robert H. Gilman

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Another “group” of people that were underrepresented Workshop in the previous workshop were the pro-p group the- Complexity and Group-Based Cryptography orists. Luis Ribes gave a very nice survey of virtu- August 30 – September 3, 2010 ally free pro-p groups, and Pavel Zalesskii presented an ongoing effort to develop a theory of pro-p limit Organizers: groups that parallels the theory of limit groups over Robert H. Gilman (Stevens Inst.), Alexei G. Miasnikov free groups. Said Sidki also gave two lectures on the (Stevens Inst.), Vladimir Shpilrain (CCNY), Alexander automorphism groups of rooted trees, a topic that has Ushakov (Stevens Inst.) deep connections to profinite group theory. ere was Speakers: also an interesting pair of talks. e first one of the Simon R. Blackburn (Royal Holloway), Martin R. Brid- pair, given by Gilbert Baumslag, discussed how limited son (Oxford), Jintai Ding (Cincinnati), Nelly Fazio our knowledge of one-relator groups still is and quite (CCNY), Benjamin Fine (Fairfield), Robert H. Gilman, eloquently decried the tyranny of geometry in contem- Delaram Kahrobaei (City Tech), Arkadius Kalka (Bar- porary infinite group theory. e other talk of the pair, Ilan), Martin Kreuzer (Passau), Juan González-Meneses by Dani Wise, described his recent work (which uses López (Sevilla), Spyros Magliveras (Florida Atlantic), geometric methods) on quasiconvex hierarchies, giv- Alexei G. Miasnikov, Ciaran Mullan (Royal Hol- ing a positive solution to a conjecture of Baumslag’s loway), Aleksey D. Myasnikov (Stevens Inst.), Sergey I. about one-relator groups. e two of them had mem- Nikolenko (St. Petersburg Academic), Wan Ainun Mior orable exchanges. Othman (Malaya), Colva M. Roney-Dougal (St. An- drews), Vladimir Shpilrain, Rainer Steinwandt (Florida Algebraists were also represented. Elena Bunina spoke Atlantic), Boaz Tsaban (Bar-Ilan), Alexander Ushakov, about isomorphisms and elementary equivalence of Kok Bin Wong (Malaya), Peng Choon Wong (Malaya) Chevalley groups, Ekaterina Blagoveshchenskaya dis- Number of participants: 49 cussed recent advances in the theory of torsion- free abelian groups, and Alexander A. Mikhalev and Building a solid mathematical foundation for the use of Alexander V. Mikhalev discussed general problems infinite groups in cryptography inevitably involves op- about algebras. Alexei Miasnikov also gave a talk erating with various asymptotic and statistical aspects on how a more algebraic/model-theoretic approach of infinite groups, and this is where modern group the- could be used to solve the problem of Krull dimensions ory finds its important applications. In this workshop for limits of groups. Olga Kharlampovich, Nicholas we explored “noncommutative ideas” in cryptography. Touikan, Andrei Nikolaev, and Elizaveta Frenkel gave We payed particular aention to what can be called presentations about various algorithmic properties group-based cryptography, i.e., cryptography that uses of certain classes of nonpositively curved and free noncommutative group theory in one way or another. groups, whereas Alexandre V. Borovik discussed black box groups. ere is a remarkable feedback from cryptography to combinatorial group theory because some of the prob- ere was also more to this workshop than merely lems motivated by cryptography appear to be new to mathematical lectures. At the end of the second day, group theory, and they open many interesting research there was a philosophical debate proposed by Alexan- avenues within group theory. We employ complexity dre V. Borovik on the topic: “Can we save mathe- theory, notably generic-case complexity of algorithms, matics from mathematicians?” Unfortunately no clear for cryptanalysis of various cryptographic protocols consensus was formed. ere was a consensus, how- based on infinite groups. We also use the ideas and ever, about the picnic on Wednesday evening at Beaver machinery from the theory of generic-case complexity Lake: it was a lot of fun! To close the workshop, we to study asymptotically dominant properties of some were treated to another presentation by the artist Ma- infinite groups that have been used in public key cryp- rina Popova, which was followed by a very interest- tography. It turns out that for a given cryptographic ing discussion on the role of aesthetics in mathematics scheme to be secure, it is essential that keys be selected and an exploration of the strange connection between from a “very small subset” (relative to the whole group, kitsch and the notion of infinity. say) rather than from the whole group. Detecting these subsets (“black holes”) for a particular cryptographic scheme is usually a very challenging problem, but it

12 T P holds the key to creating secure cryptographic primi- his first lecture). e second and third lectures were tives based on infinite noncommutative groups. devoted to iterated monodromy groups (which can be Our workshop gathered about 50 mathematicians from viewed as a subclass of self-similar groups), their con- Belgium, Canada, Germany, Israel, Malaysia, Poland, nections with complex dynamics, and recent results on the United Kingdom, the USA, Russia, and Spain. It their properties. featured two mini-courses: one by Robert Gilman Apart from the mini-course there were several talks and Alexei Miasnikov on algorithmic group theory on groups of automorphisms of rooted trees given and the other by Vladimir Shpilrain and Alexan- by recognized specialists in this field. Let us first der Ushakov on group-based cryptography. Sev- mention the talk of Rostislav Grigorchuk about ac- eral international collaboration projects were initi- tions of self-similar groups on the boundaries of rooted ated during the workshop, in particular the interna- trees and the dynamics related to Schreier graphs of tional Symbolic Computations and Post-quantum Cryp- level stabilizers. Two talks could be considered as se- tography Web Seminar (to be found at the address quels of Grigorchuk’s talk: the presentation of Tatiana stevens.edu/algebraic/SCPQ/). is seminar is held Smirnova-Nagnibeda about asymptotical properties of online every two weeks and aracts on average about group actions on rooted trees, and the talk by Zoran 40 participants from all over the world. Šunic about the Hanoi Towers group, which is a particular example of a group acting on a rooted tree. Workshop Another mini-course of the workshop was given by Group Actions and Dynamics Mladen Bestvina on the topology and geometry of October 4 – 8, 2010 Outer space, which can be defined as a space of marked metric graphs modulo equivalence of markings by Organizers: graph isometries. is space naturally arises in the Olga Kharlampovich (McGill), Alexei G. Miasnikov study of automorphisms of free groups and this is now (Stevens Inst.), Denis E. Serbin (Genève) a classical topic in Geometric Group eory. e third Speakers: mini-course, given by Denis Osin, was devoted to a Mladen Bestvina (Utah), Lisa J. Carbone (Rutgers), generalization of relative hyperbolicity based on the Montserrat Casals-Ruiz (Vanderbilt), Indira Lara Chat- notion of hyperbolically embedded subgroups. In the terji (Orléans), François Dahmani (Joseph Fourier), course of the lectures it became obvious that this gen- Tullia Dymarz (Yale), Rostislav Grigorchuk (Texas eralization is proper, in the sense that it enables one A&M), Vadim Kaimanovich (Oawa), Ilya Kazachkov to prove results using hyperbolic techniques in many (Vanderbilt), Olga Kharlampovich, Volodymyr Nekra- groups that are not relatively hyperbolic to any rea- shevych (Texas A&M), Denis Osin (Vanderbilt), De- sonable subgroups. It was stressed by the speaker that nis E. Serbin, Pedro V. Silva (Porto), Tatiana Smirnova- a substantial part of the theory of relatively hyperbolic Nagnibeda (Genève), Zoran Šunic (Texas A&M), groups can now be generalized in the new context. Vladimir Trofimov (IMM, Ekaterinburg) Number of participants: 53 e topic of actions on various “nice” spaces was always an effective way to study structural properties e main goal of the workshop was to introduce major of the underlying groups. Some talks can be viewed directions in Geometric Group eory, which is now from this perspective, for example the talk by Olga all about group actions on various spaces, in a manner Kharlampovich on the structure of Λ-free groups and accessible to graduate students working in the field, the talk of Montserrat Casals-Ruiz on limit groups of and to present some recent advances in these direc- partially commutative groups. In the former case the tions. In our opinion, this goal was reached and we underlying group acts freely on a Λ-tree, while in would like to thank all the participants for their contri- the laer case there is a faithful action on an asymp- butions to the unique atmosphere of the meeting. Self- totic cone of a partially commutative group. Other similar and branch groups were one of the major top- talks relying implicitly on actions to study the struc- ics discussed during the workshop. An introduction to ture include the presentations of François Dahmani on the topic was given by Volodymyr Nekrashevych in his interval-exchange groups and of Indira Chaerji on mini-course, where he defined self-similar and branch groups acting on median spaces. Some results on the groups as groups of automorphisms of rooted trees (in ergodic properties of groups were presented in the talk

13 C    of Vadim Kaimanovich (on the Hopf decomposition of povich – Miasnikov and Sela, is to understand their el- the boundary action of a discrete group) and the talk of ementary theory. e theory developed over the years Denis Serbin (on the description of Poisson boundaries to solve Tarski’s problem has uncovered deep connec- of Zn-free groups). tions between model theory, geometry, and group the- Of course, the various topics covered in the workshop ory. e study of first-order theories is closely related talks go beyond the directions outlined above, because to the study of algebraic varieties and their projections. the theory of group actions (in its current state) is ex- e workshop focused on methods and techniques in tremely rich. For example, the talks by Lisa Carbone on algebraic geometry over groups and other algebraic symmetries of infinite-dimensional Lie groups, of Tul- systems. lia Dymarz on bi-Lipschitz vs. quasi-isometric equiva- e workshop gathered 35 mathematicians from Aus- lence for finitely generated groups, of Vladimir Trofi- tralia, Canada, France, Germany, Israel, the United mov on vertex-transitive groups of automorphisms of Kingdom, the USA, Russia, and Spain. It featured two graphs, and of Pedro Silva on fixed points of endomor- mini-courses: one by Olga Kharlampovich and Alexei phisms made it possible not only to get familiar with Miasnikov on the algebraic theory of equations in free the topics discussed but to see various facets of the groups and the other by Nikolai Romanovskiy on al- field. gebraic geometry over soluble groups. e theme of equations in groups was explored in the talks of Volker Workshop Diekert, Igor Lysenok, and Henry Wilton. Equations and First-Order Properties in Another major theme of the conference was the so- Groups called universal algebraic geometry. Recent progress October 11 – 15, 2010 in algebraic geometry over groups instigated a body of research whose goal is to carry over the results and Organizers: techniques from classical algebraic geometry and al- Olga Kharlampovich (McGill), Alexei G. Miasnikov gebraic geometry over groups to arbitrary algebraic (Stevens Inst.), Ilya Kazachkov (Oxford), Vladimir structures (using the language of universal algebra, Remeslennikov (Omsk State) hence the name “universal algebraic geometry”). Two Speakers: talks on the subject were given by the founders of uni- Montserrat Casals-Ruiz (Vanderbilt), François Dah- versal algebraic geometry, Boris Plotkin and Vladimir mani (Joseph Fourier), Tara Davis (Vanderbilt), Volker Remeslennikov. Further, Montserrat Casals-Ruiz pre- Diekert (Stugart), Andrew Duncan (Newcastle, UK), sented her results on universal completions of alge- Ilya Kazachkov, Olga Kharlampovich, Igor Lysenok braic structures (a construction that plays the role of (Steklov Inst.), Alexei G. Miasnikov, Abderezak the ultrapower for the universal theory of a structure). Ould Houcine (Lyon 1), Chloé Perin (Strasbourg), Boris Plotkin (HUJI), Eugene Plotkin (Bar-Ilan), Alexan- Finally we had several talks on first-order properties of der A. Razborov (Chicago), Vladimir N. Remeslen- groups. In his talk Mahmood Sohrabi presented a very nikov, Nikolay Romanovskiy (Sobolev Inst.), Mah- fine classification of groups elementarily equivalent mood Sohrabi (Montréal), Henry Wilton (Caltech) to a finitely generated nilpotent group. In their talks Number of participants: 35 Chloé Perin and Abderezak Ould Houcine presented two independent proofs of the homogeneity of the free Hilbert’s 10th problem asks whether there exists an al- group, i.e., they showed that if two tuples of elements gorithm to solve the Diophantine problem, i.e., to de- from the free group have the same type, then they are cide whether or not an equation with integer coeffi- conjugate by an automorphism. e conference was cients has an integer solution. is type of problem nicely complemented by a series of lectures given by can be posed for arbitrary structures (rings, groups, the Aisenstadt Chairholder Alexander Razborov, who etc.) and in a more general seing from the view- among other things is well known for his work in the point of model theory (decidability of the univer- theory of equations in free groups. sal/positive/elementary theory of a structure). In the case of free groups, a famous problem posed by Tarski around 1945, and recently solved by Kharlam-

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Workshop Workshop Statistical Methods for Meteorology and Statistical Methods in HIV Research Climate Change April 14 – 15, 2011 January 12 – 14, 2011 Sponsored by Hydro-ébec and the Ouranos consor- Organizers: tium Erica E. M. Moodie (McGill), David A. Stephens (McGill) Organizers and scientific commiee: Speakers: Jean-François Angers (Montréal), Anne-Catherine Bluma Brenner (Jewish General Hospital), Victor Favre (Laval), Luc Perreault (IREQ), Richard L. Smith De Gruola (Harvard), Joseph W. Hogan (Brown), (UNC — Chapel Hill) James S. Koopman (Michigan), Zoe Moodie (SCHARP), Speakers: Janet Raboud (Mount Sinai Hospital), Ethan Romero- Jean-Noël Bacro (Montpellier 2), Jean-Jacques Boreux Severson (Michigan), Peter Song (Michigan), David A. (Liège), Barbara Casati (Ouranos), Ramón de Elía Stephens, Erik Volz (Michigan) (Ouranos), Petra Friederichs (Bonn), Reinhard Furrer Number of participants: 37 (Zürich), Joël Guiot (CEREGE), René Laprise (UQAM), Bo Li (Purdue), James Merleau (IREQ), Philippe Naveau HIV/AIDS continues to pose many methodological (LSCE), Luc Perreault (IREQ), Stephan R. Sain (UCAR), challenges in study design and statistical analysis, from Francis Zwiers (Victoria) investigations at the molecular level to clinical tri- Number of participants: 56 als and observational epidemiologic studies. Ongo- Le premier atelier du semestre thématique sur la statis- ing development of novel statistical and modelling ap- tique portait sur les méthodes statistiques appliquées à proaches is required to keep pace with the increasing la météorologie et à l’analyse des changements clima- volume of information from diverse sources, from the tiques. Il visait à rassembler les statisticiens, les météo- molecular level to the population level. e purpose rologues et les climatologues pour des échanges sur de of this interdisciplinary workshop was to provide an nouvelles approches en statistique et en probabilités overview of quantitative problems and related method- consacrées à l’étude des changements climatiques. Les ology for junior researchers in the field, to review re- thèmes abordés durant l’atelier comprenaient notam- cent advances in statistical methods arising from real- ment l’estimation de l’incertitude des projections cli- world data from HIV studies, and to increase the pro- matiques, la configuration spatiale du climat, la recons- file of statistics for HIV in Montréal and in Canada. truction du climat à partir de la dendrochronologie, la e workshop opened on April 14 with an introduc- modélisation des évènements climatiques extrêmes et tion to the history of the virology and epidemiology of le traitement des problèmes de non-stationnarité des HIV by Dr. Bluma Brenner of the McGill AIDS Cen- chroniques hydrométéorologiques. tre. Dr. Brenner has been at the forefront of HIV re- Cet atelier, d’une durée de trois jours, fut organisé search since the emergence of the disease in the early de manière à maximiser les échanges scientifiques et 1980s. e first day of the meeting included talks techniques entre les participants. C’est pourquoi nous by senior HIV statisticians such as Victor DeGrut- avons opté pour un nombre limité de conférences tola (Chair of Biostatistics, Harvard School of Public chaque jour (six conférences d’au moins 45 minutes Health) and Janet Raboud (one of the primary statis- chacune). Ce format a permis à chaque conférencier de ticians in HIV research in Canada). Topics included a donner suffisamment de détails techniques pour susci- variety of methodological challenges, from the selec- ter de nombreux échanges scientifiques. L’atmosphère tive use of a gold standard in resource-poor countries conviviale qui régnait durant l’atelier ne fut pas étran- such as Kenya to challenges arising because of missing gère aux nombreuses interactions entre les différents confounders and competing risks. e second day of participants. Une cinquantaine de chercheurs de diffé- the workshop covered challenges such as merging lon- rents domaines de recherche et provenant de plusieurs gitudinal cohorts, assessing correlates of protection in pays (une dizaine environ) ont fait de cet atelier un vaccine research, and phylogenetic analyses of sexual succès. networks.

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e workshop successfully brought together re- abeth A. ompson (Washington), Jon Wakefield searchers from Statistics, Epidemiology, and Virology (Washington), Ellen Wijsman (Washington) with a common interest in quantitative methods for Number of participants: 118 diverse aspects of HIV research. Participants came Cet atelier a duré 5 jours et rassemblé des conféren- from Canada and the United States and represented a ciers venant du Canada, des États-Unis et d’Europe. range of career stages. e seminars presented were Tous les conférenciers sont reconnus comme étant des of exceptional quality and participants took advantage chefs de file dans le domaine de la génomique com- of the more intimate size of the meeting to exchange putationnelle. Leurs présentations furent donc, comme ideas. All invited speakers and many of the particles organisateurs l’espéraient, d’un très haut calibre, et ipants approached the organizers during the meet- tous les commentaires des participants furent très po- ing to say how much they enjoyed the workshop. sitifs. En plus des présentations, chaque journée com- Many of the statisticians particularly noted that the in- porta une période de discussion à la fin de l’après-midi ; sights provided by Dr. Brenner’s questions and ideas cee période était animée par un invité, qui résumait following their presentations were of great use. In la journée dans un exposé d’une trentaine de minutes. emails sent aer the workshop, a participant stated Ces périodes de discussion furent très appréciées des that the workshop gave her “the opportunity to engage participants, et les animateurs accomplirent un travail in thought-provoking discussions with several speak- exceptionnel de synthèse et de critique. La réception ers” and another that he was very grateful to the CRM « vin et fromages » coïncida avec une session d’affiches and in particular the workshop for the opportunity to qui eut beaucoup de succès. expand his collaborations. L’atelier fera l’objet d’un numéro spécial de la revue A special issue of the journal Statistical Communica- Statistical Applications in Genetics and Molecular Biol- tions in Infectious Diseases will be devoted to publish- ogy, dans lequel les conférenciers de l’atelier publie- ing research presented at the workshop or developed ront les travaux présentés à Montréal. Le succès de from the workshop. l’atelier a incité plusieurs chercheurs montréalais à or- Workshop ganiser en 2012 un atelier semblable, à l’échelle de Montréal, afin que tous les chercheurs travaillant dans Computational Statistical Methods for ce domaine soient tenus au courant des travaux de Genomics and Systems Biology leurs collègues. April 18 – 22, 2011 Workshop Organizers: Statistical Issues in Forest Management Sandrine Dudoit (UC Berkeley), Raphael Goardo May 2 – 4, 2011 (FHCRC), Jinko Graham (Simon Fraser), Aurélie Labbe Sponsored by the Ministère des Ressources naturelles (McGill), Fabrice Larribe (UQAM) et de la Faune of ébec and the Laurentian Forestry Speakers: Centre David Balding (Univ. Coll. London), Mark Beau- mont (Bristol), Jennifer Bryan (UBC), Shelley B. Bull Organizers: (Toronto), Peter Donnelly (Oxford), Sandrine Du- Pierre Bernier (Canadian Forest Service), Gaston doit, Laurent Excoffier (Bern), Mayetri Gupta (Boston), Joncas (Canadian Forest Service), Valerie LeMay Christopher C. Holmes (Oxford), Steve Horvath (UC (UBC), Eliot McIntire (Laval), Ronald E. McRoberts Los Angeles), Christina Kendziorski (Wisconsin – (USDA Forest Service), Jean Opsomer (Colorado State), Madison), Kun Liang (Wisconsin – Madison), Brad Mc- Frédéric Raulier (Laval), Louis-Paul Rivest (Laval), Neney (Simon Fraser), Mary Sara McPeek (Chicago), Erkk O. Tomppo (Metla), Chhun-Huor Ung (Canadian Michael A. Newton (Wisconsin – Madison), Vincent Forest Service) Plagnol (Univ. Coll. London), Kenneth Rice (Washing- Speakers: ton), Sylvia Richardson (Imperial Coll.), Ingo Ruczin- Bruce Borders (Georgia), Steve Cumming (Laval), So- ski (Johns Hopkins), Mark R. Segal (UC San Francisco), phie D’Amours (Laval), Jean-Gabriel Élie (Ressources David A. Stephens (McGill), Mahew Stephens naturelles et Faune ébec), Andrew O. Finley (Michi- (Chicago), Donatello Telesca (UC Los Angeles), Eliz- gan State), Mathieu Fortin (INRA), Timothy G. Gre- goire (Yale), Juha Heikkinen (Metla), Annika Kangas

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(Helsinki), Alain Leduc (UQAM), Valerie LeMay, Jean- A. Leduc et S. Cumming ont traité de la modélisation Martin Lussier (Canadian Forest Service), Ronald E. des perturbations de la forêt, causées par exemple par McRoberts, Juha Metsaranta (Canadian Forest Ser- les feux de forêt, et de leur intégration à l’évaluation vice), Gretchen Moisen (USDA Forest Service), Jean de scénarios d’exploitation. Finalement, C.-H. Ung et Opsomer, Margaret Penner (Forest Analysis Ltd.), J.-M. Lussier ont présenté une modélisation intégrée Chhun-Huor Ung pour un plan d’exploitation d’une petite forêt, basée Number of participants: 72 sur une table de peuplement construite à partir de don- nées d’inventaire, sur un modèle de croissance et sur L’atelier a débuté par une présentation de la méthodo- des hypothèses concernant la valeur du bois ; des algo- logie statistique utilisée dans le cadre des inventaires rithmes de recherche opérationnelle permeent alors forestiers. Il s’agit essentiellement d’un problème d’ex- de mere en lumière des scénarios d’exploitation op- trapolation, consistant à estimer les caractéristiques timaux sous certaines contraintes de préservation du forestières d’un territoire à partir d’un échantillon res- milieu. treint de placees établies. T. Gregoire, J. Opsomer et J. Heikinnen mirent l’accent sur l’inférence par rap- La troisième journée a débuté par une présentation des port au plan de sondage. R. McRoberts a suggéré une problèmes méthodologiques associés à l’établissement approche par le modèle pour une méthode non para- d’un bilan annuel de la capture ou de la dissémination métrique d’estimation, basée sur les plus proches voi- du carbone par les forêts canadiennes. J. Metsaranta sins. Finalement A. Finley a montré comment ajuster a souligné les incertitudes associées à ce calcul et pré- un modèle qui prend en compte la structure spatiale senté les modèles probabilistes utilisés pour les quanti- des données à l’aide de méthodes bayésiennes qui s’ap- fier. Pendant cee journée, une approche économique puient sur des techniques de simulation Monte-Carlo. à l’exploitation de la forêt a aussi été présentée. Il y a un coût associé à la réalisation d’un inventaire ; B. Bor- Les présentations d’inventaires, par G. Élie, G. Moisen ders a présenté une étude qui mesurait le coût de ne pas et M. Penner, ont fait ressortir la nécessité de produire faire d’inventaires. En effet, ceci entraîne une exploita- des estimations à différentes échelles. La méthodologie tion non optimale de la ressource et donc une perte de statistique est bien développée pour le calcul d’estima- revenus. tions agrégées pour de grandes unités géographiques. Le problème est plus complexe si on s’intéresse à un pe- A. Kangas a suggéré un modèle économique qui per- tit territoire qui contient peu de placees établies, ou met d’évaluer, en termes monétaires, différentes com- même à un simple polygone forestier qui ne contient posantes d’un scénario d’exploitation. Elle a ainsi asso- aucune placee. En effet, ces estimations doivent faire cié une valeur à un modèle de croissance et au renou- intervenir un modèle statistique et le calcul de leur vellement fréquent de tels modèles pour bien évaluer la précision pose des défis importants. Les échanges ont ressource forestière. S. D’Amours a terminé l’atelier en fait ressortir que l’approche bayésienne est particuliè- présentant la méthodologie utilisée par le réseau FO- rement promeeuse. RAC pour valoriser la production forestière au Canada. Elle a mis l’accent sur l’incertitude associée à l’établis- En plus d’estimer la ressource ligneuse, un des objec- sement de scénarios d’exploitation et sur les approches tifs de l’inventaire forestier est de prédire la croissance utilisées pour en tenir compte. des arbres et d’évaluer l’impact de différents scénarios d’exploitation. La deuxième journée de l’atelier a porté Les participants ont apprécié la structure linéaire de sur ce thème. V. Lemay et M. Fortin ont traité de la l’atelier, qui commença par les inventaires forestiers prédiction de la croissance. Si on utilise un modèle de pour l’estimation de la ressource ligneuse et traita en- croissance par arbres, il faut au préalable « imputer » suite de l’utilisation des données d’inventaire à des une liste d’arbres dans un polygone forestier. V. Lemay fins d’exploitation et de planification. Une des conclu- a étudié ce problème d’imputation. La conférence de M. sions de cet atelier est que des développements mé- Fortin a fait ressortir les difficultés d’utiliser des mo- thodologiques importants sont nécessaires pour établir dèles de croissance sur un horizon relativement long. des bilans forestiers cohérents, à différentes échelles En effet, ces modèles aeignent en général une valeur géographiques, et pour incorporer l’incertitude asso- stationnaire après un certain nombre d’années, peu im- ciée à ces bilans dans les prédictions de croissance et porte les valeurs de départ. Ils donnent la fausse image l’évaluation des scénarios d’exploitation. d’une forêt très homogène.

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Workshop context of longitudinal studies, where time-dependent Causal Inference in Health Research confounding may be present. May 9 – 13, 2011 e purpose of this workshop was threefold: first, Sponsored by the MITACS network and McGill to review recent advances in the causal inferences in Main organizer: Erica E. M. Moodie (McGill) statistics; secondly, to bring together inter-disciplinary Other organizers: researchers including those from quantitative but non- Jennifer Hill (NYU), Jay S. Kaufman (McGill), Lawrence statistical fields who work on causal inference method- McCandless (Simon Fraser), Robert Pla (McGill), ology so as to share approaches and knowledge in Bryan E. Shepherd (Vanderbilt) order to advance research in the health sciences; Speakers: and finally, to increase the profile of causal infer- Joshua Angrist (MIT), Lauren Cain (Harvard), Bibhas ence amongst statisticians in Canada. e workshop Chakraborty (Columbia), Mike Daniels (Florida), Dean opened on May 9 with five speakers on a variety of Follmann (NIAID), Sara Genelei (LSE), Els Goet- topics, and following lunch there was a poster session ghebeur (Gent), Tom Green (Utah), Paul Gustafson where research was presented by researchers from a (UBC), M. Elizabeth Halloran (Washington), Sebastien range of career stages. Each of the following four days Haneuse (Harvard), Miguel Hernan (Harvard), Jen- had a theme: time-varying treatments and optimal nifer Hill, Joseph W. Hogan (Brown), Michael Hud- treatment strategies; randomized trials and vaccine ef- gens (UNC — Chapel Hill), Dan Jackson (Cambridge), ficacy; multiple bias modelling; and missing data meth- Nicholas Jewell (UC Berkeley), Marshall Joffe (Penn- ods. ere were eight speakers on each of these days, sylvania), Timothy L. Lash (Aarhus), Rich MacLe- with the exception of Wednesday, which had only six hose (Minnesota), Lawrence McCandless, Robin Mitra because of the Aisenstadt lecture in the aernoon. (Southampton), Susan Murphy (Michigan), omas S. e workshop successfully brought together re- Richardson (Washington), James Robins (Harvard), searchers from Statistics/Biostatistics, Epidemiology, Andrea Rotnitzky (Harvard), Jason Roy (Pennsylva- and Econometrics with a common interest in causal nia), Daniel O. Scharfstein (Johns Hopkins), Jonathan inference. Participants came from universities and Schildcrout (Vanderbilt), Bryan E. Shepherd, Dylan institutions in nine countries: Canada, the United Small (Pennsylvania), Elizabeth Stuart (Johns Hop- States, England, Denmark, Belgium, Australia, Alge- kins), Eric J. Tchetgen Tchetgen (Harvard), Tyler Van- ria, France, and Cameroon. e lectures were of derWeele (Harvard) an exceptionally high quality. Although there were Number of participants: 124 many participants, lively discussions followed most of the presentations and the coffee and lunch breaks Causal inference aempts to uncover the structure of provided ample opportunity for informal interactions. the data and eliminate all noncausative explanations Many participants approached the organizers during for an observed association. e goal of most, if not the meeting to say how much they enjoyed the work- all, statistical inference is to uncover causal relation- shop. In email messages sent aer the workshop, ships, but it is not in general possible to infer causality some of them mentioned potential collaborations aris- from standard statistical inference procedures, merely ing from the workshop and wrote that the lessons that the observed association between two variables is learned would help them improve their research. A not due to chance. e need for causal inference pro- special issue of the International Journal of Biostatistics cedures is apparent in many fields, but is perhaps most will be devoted to publishing research presented at or pressing in the field of health research, where quanti- arising from the workshop. fying the efficacy of new therapies, or uncovering the etiology of diseases, is oen rendered complicated due Workshop to difficulties inherent in observational studies. Even Analysis of Survival and Event History Data in experimental studies, partial compliance with treat- May 16 – 19, 2011 ment regimens can compromise a well-designed ex- Sponsored by the CRM and the Fields Institute periment. e complexity of models, and the corresponding inference procedures, is heightened in the Organizers Richard Cook (Waterloo), Jerry Lawless (Waterloo)

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Speakers: that have arisen. e talk highlighted current needs re- Rebecca Betensky (Harvard), Ornulf Borgan (Oslo), lated to the assessment of high-dimensional biomark- Tianxi Cai (Harvard), Nilanjan Chaerjee (National ers, the monitoring and analysis of multiple outcomes, Cancer Institute), Stephen Cole (UNC — Chapel Hill), and the assessment of therapeutic or dietary interven- Somnath Daa (Louisville), Peter J. Diggle (Lancaster), tions, all of which must be studied in the presence of Patrick Heagerty (Washington), Joseph W. Hogan imperfect measurement processes. (Brown), Li Hsu (FHCRC), Joseph Ibrahim (UNC — e talk by Kalbfleisch and Wolfe discussed methods Chapel Hill), John D. Kalbfleisch (Michigan), Yi Li for monitoring outcomes associated with medical pro- (Dana-Farber Cancer Institute), Danyu Lin (UNC — cedures. For example, it is commonplace to monitor Chapel Hill), Roderick J. Lile (Michigan), Lyle J. outcomes in organ transplant recipients, patients re- Palmer (Ontario Institute for Cancer Research), Ross ceiving knee or hip replacements, or patients under- Prentice (FHCRC), James Robins (Harvard), Douglas E. going cardiac surgery. is is done to assess the ef- Schaubel (Michigan), Richard Simon (National Cancer fectiveness of strategies for managing waiting lists, in- Institute), Donna Spiegelman (Harvard), Jeremy M. G. tervention effects, and the quality of care provided by Taylor (Michigan), Alice S. Whiemore (Stanford), different facilities, each of which is included into cost- Robert Wolfe (Michigan) benefit analyses. e speakers focused on the impor- Number of participants: 69 tant problem of assessing facilities while making ad- e participants of the Workshop on Analysis of Sur- justment for the varying distribution of risk factors vival and Event History Data came from Canada, the in individuals treated by different facilities. Danyu United States, the United Kingdom, France, and Nor- Lin spoke next on challenges in survival analysis aris- way. e objectives of the workshop were to bring ing from genetic studies in which data are missing for together leading researchers in survival and event his- many individuals. is occurs when only a portion of tory analysis to discuss recent advances, current chal- the individuals involved can be genotyped because of lenges, and areas requiring new methodology and the- the cost involved, and because individuals are geno- ory. Many of the world’s top researchers in the field typed only at specific locations on their genome. presented talks and a wide range of important top- Finally, Lyle Palmer spoke about the Ontario Health ics were addressed. Much of the existing theory and Study, a recent initiative that is aempting to build a methodology for survival and event history analysis large voluntary cohort of individuals to be followed was developed over the past 50 years in response to from recruitment over their remaining lifetimes, and scientific problems arising in fields such as economics, whose information can be linked to administrative engineering, medicine, public health, and the social medical records. is raises many new challenges for sciences. Likewise, new needs and challenges arise analysis because of the potential richness of the data, constantly from these areas and from newer fields such but also because it will be necessary to assess poten- as genetics and information technology. Day 1 of the tial biases arising from the voluntary nature of study workshop was designed to profile high-impact studies participation and the accuracy of different types of in important areas of public health and biomedicine. information to be requested. Day 1 concluded with Subsequent sessions on Days 2 to 4 focused more on the second Aisenstadt Lecture from the Aisenstadt specific statistical issues pertaining to design, mod- Chairholder James Robins, followed by a cocktail re- elling, and analysis, discussed in a wide range of sci- ception. A discussion of his talk is given earlier in the entific contexts. current section. Keynote presentations on Day 1 were given by Ross e morning session on Day 2 was devoted to the topic Prentice, Jack Kalbfleisch and Robert Wolfe, Danyu of joint models for longitudinal and event history data. Lin, and Lyle Palmer. Prentice discussed challenges is area is increasingly important as longitudinal life arising from the Women’s Health Initiative, which in- history studies collect more and more data on time- cludes both randomized and observational cohort stud- varying variables along with data on specified events. ies on health risks in postmenopausal women. As Biomarker data, disease risk measures, and other time- a Principal Investigator of this extremely important varying covariates, for example, are routinely collected study, he has developed new methodology and pub- on individuals, in addition to data on events such as lished numerous articles on new statistical challenges disease onset or recurrence. Talks in this session were

19 C    given by Peter Diggle, Joseph Hogan, and Jeremy Tay- data on relatively small numbers of individuals, as dis- lor. Between them they discussed problems arising cussed earlier in the day by Richard Simon. in the treatment of persons suffering from renal dis- e morning session on Day 4 considered the topic of ease, prostate cancer, and infection with the Human response-biased sampling, which is an important fea- Immunodeficiency Virus (HIV). e challenges high- ture in many epidemiology studies in which genetic lighted included the need to deal with very heteroge- factors or other expensive measurements can be taken neous longitudinal marker profiles, the fact that these on only a subset of individuals of interest. Ornulf Bor- markers are measured only intermiently on each in- gan gave a comprehensive overview of nested case- dividual, and the difficulty of assessing the relationship control and case-cohort study designs and the associ- between treatment effects on marker values and treat- ated estimation methodology. Nilanjan Chaerjee rement effects on clinical events. viewed recent developments for multivariate analysis e aernoon session on Day 2 concerned problems of disease onset times for families with high-risk ge- associated with incomplete or mismeasured covari- netic variants. Alice Whiemore discussed two-stage ates that are potentially informative for health-related studies for validating individual risk models and illus- events. Many examples of this were given in the Day 1 trated the methodology on models for ovarian cancer. talks. Rod Lile discussed likelihood and Bayes esti- e final session on ursday aernoon addressed is- mation methods for incomplete data and Joe Ibrahim sues in the analysis of complex life history processes. presented diagnostic methods for assessing case influ- Many examples of the complexity of processes associ- ence and model fit in the presence of missing data. ated with health and biomedicine had been seen in ear- Donna Spiegelman discussed risk set calibration meth- lier talks and a nice bookend to the workshop was pro- ods for handling measurement error, motivated by vided by the talks in this session. Stephen Cole consid- problems in the measurement of dietary and environ- ered the increasingly popular marginal structural mod- mental risk factors for human health. els approach to estimation, drawing for discussion on e two sessions on Day 3 dealt with survival time the effects of antiretroviral therapy on the incidence models. e morning session focused on predictive of AIDS and death in HIV-infected persons. Somnath models for lifetime events, which are widely used to Daa showed how to estimate various features of a provide risks (probabilities) of disease occurrence ac- multistate model nonparametrically. Such models are cording to an individual’s age and other risk factors. widely used in modelling and analyzing states asso- Tianxi Cai discussed challenges arising from the avail- ciated with health, employment, parenthood, educa- ability of new biological and genetic markers and il- tion, and other aspects of human lives. Doug Schaubel lustrated new methodology on a risk prediction model ended with an excellent talk on estimating the effect for rheumatoid arthritis. Richard Simon discussed the of a time-varying factor when censoring (i.e., end of use of very high-dimensional genomic markers and follow-up) of an individual cannot be ignored. He illus- the evaluation of survival risk models based on them. trated the issues and proposed some methodology by Patrick Heagerty presented graphical and analytical considering the selection of persons with severe liver methods for characterizing the predictive power of disease on a waiting list for a liver transplant. biomarkers using measures related to the area under Feedback on the workshop has been extremely posi- ROC curves. tive, with comments from several people that it was e aernoon session focused on models and meth- one of the most informative meetings that they had ods for multivariate lifetime data. Rebecca Betensky ever aended. Graduate students, postdoctoral fel- discussed ways of handling lifetime variables, trun- lows, and more senior researchers were all able to cated because of constraints imposed by the sampling learn a great deal about the methodology, theory, or observation of individuals in a study. Li Hsu con- and emerging challenges in this key area of statistical sidered the analysis of studies in which lifetimes for re- science. lated family members are collected. Yi Li discussed the analysis of multivariate lifetime data when the num- Workshop ber of covariates exceeds the number of individuals or Copula Models and Dependence units in a study; this situation has become very com- June 6 – 9, 2011 mon with the collection of large amounts of genomic

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Organizers: ployée dans des domaines tels que l’actuariat, la fi- Elif Acar (McGill), Debbie Dupuis (HEC Mont- nance ou l’hydrologie, où l’effet conjugué de risques réal), Christian Genest (McGill), Johanna Nešlehová dépendants peut avoir de lourdes conséquences finan- (McGill), Jean-François Plante (HEC Montréal), Jean- cières ou environnementales. François essy (UQTR), Bruno Rémillard (HEC L’objectif de cet atelier était de faire le point sur Montréal) les méthodes d’inférence statistique les mieux adap- Speakers: tées à la modélisation par copules et d’identifier, de Kjersti Aas (Norwegian Computing Centre), V. Radu concert avec des praticiens, les problématiques soule- Craiu (Toronto), Holger Dee (Ruhr-Universität vées par l’emploi de cee méthodologie dans de nou- Bochum), Michael Falk (Würzburg), Yanqin Fan (Van- veaux contextes. Le programme comportait 16 exposés derbilt), Jean-David Fermanian (ENSAE), Anne-Laure en plénière, à raison de quatre par jour, regroupés par Fougères (Lyon 1), Dominique Guégan (Paris 1), Si- problématique : données vectorielles de grande dimen- mon Guilloe (UQAM), Lajmi Lakhal Chaieb (Laval), sion, séries chronologiques, valeurs extrêmes multiva- Johanna Nešlehová, Andrew Paon (Duke), Bruno riées et données incomplètes. Rémillard, Mahias Scherer (TU München), Johan Segers (UC Louvain), Noël Veraverbeke (Hasselt), Wei- Des conférences de synthèse de deux heures ont été jing Wang (NCTU) prononcées par Andrew Paon, Johan Segers et Noël Number of participants: 53 Veraverbeke, et ont été suivies de tables rondes. Treize exposés d’une heure sur des thèmes d’actualité ont Le dernier atelier du semestre thématique a airé aussi été donnés par Kjersti Aas, Lajmi Lakhal Chaieb, des participants en provenance d’une dizaine de pays Radu Craiu, Holger Dee, Michael Falk, Jean-David d’Amérique, d’Europe et d’Asie. L’évènement a été or- Fermanian, Anne-Laure Fougères, Dominique Guégan, ganisé par un collectif de statisticiens québécois ac- Simon Guilloe, Johanna Nešlehová, Bruno Rémillard, tifs dans le domaine de la recherche sur les copules Mahias Scherer et Weijing Wang. Comme pour les et la modélisation de la dépendance dans de grands autres ateliers, de fréquentes pauses avaient été pré- ensembles de données multidimensionnelles. L’étude vues pour faciliter l’interaction entre chercheurs et de la dépendance entre variables aléatoires est aussi étudiants. La participation a été élevée en tout temps, y ancienne que la statistique, mais l’approche par co- compris lors de la séance d’affichage qui avait été inté- pules, qui s’est développée au cours des 25 dernières grée à un coquetel dînatoire le lundi, en fin de journée. années, a jeté un éclairage nouveau sur la nature de Un repas organisé au restaurant « Le Cercle » de HEC la dépendance stochastique. Elle a surtout pavé la voie Montréal, le mercredi 8 juin, a aussi été fort apprécié. à la construction de nouveaux modèles qui facilitent la Les actes de l’atelier seront publiés l’an prochain dans prise en compte de ce phénomène. Pendant les dix der- un numéro spécial du Journal of Multivariate Analysis nières années, la modélisation par copules a connu un dont la direction a été confiée à Christian Genest. essor fulgurant et elle est dorénavant largement em-

Past Thematic Programs

e Centre de recherches mathématiques has organized thematic activities every year since 1993. From 1987 to 1992, the CRM organized various types of activities, including special semesters, concentration periods, and thematic activities. Here is a list of the main activities organized by the CRM since 1987.

January–April 2010 Number eory as 2008–2009 Probabilistic Methods in Mathematical Experimental and Applied Science Physics August–December 2009 Mathematical Problems in January–June 2008 Dynamical Systems and Imaging Science Evolution Equations 2008–2009 Joint CRM–PIMS Program: Challenges June–December 2007 Applied Dynamical Systems and Perspectives in Probability January–June 2007 Recent Advances in Combinatorics

21 C   

June–December 2006 Combinatorial Optimization 1995–1996 Applied and Numerical Analysis 2005–2006 Analysis in Number eory 1994–1995 Geometry and Topology 2004–2005 e Mathematics of Stochastic and 1993–1994 Dynamical Systems and Applications Multiscale Modelling 1992 Probability and Stochastic Control 2003–2004 Geometric and Spectral Analysis (special semester) 2002–2003 Mathematics in Computer Science 1991–1992 Automorphic Forms in Number eory 2001–2002 Groups and Geometry 1991 Operator Algebras (special semester) 2000–2001 Mathematical Methods in Biology and 1990 Nonlinear PDEs and Applications Medicine (concentration period) 1999–2000 Mathematical Physics 1988 Shimura Varieties (special semester) 1998–1999 Number eory and Arithmetic 1987 antum Field eory (special semester) Geometry 1987–1988 Fractals: eory and Application 1997–1998 Statistics 1987 Structural Rigidity (special semester) 1996–1997 Combinatorics and Group eory

22 General Program C   

 CRM’s general program funds a wide variety of scientiﬁc events, both on the premises of the CRM and T elsewhere in Canada. Whether it be for specialized workshops aended by a small number of researchers or large meetings aended by hundreds of participants, the general program promotes research in the mathematical sciences at all levels. e program is quite ﬂexible, allowing projects to be considered as they arise. e reports are presented in the language in which they were submied.

CRM activities

Summer School • antum Computing as a Proof Tool (R. de Wol) Séminaire de mathématiques supérieures • Proving the reshold eorem for Fault-Tolerant Advanced School in antum Information antum Computation (D. Goesman) Processing and antum Cryptography • Device-Independent Cryptography (E. Hänggi et June 21 – July 2, 2010, CRM S. Wol) Sponsored by NATO, the CRM, the ISM, and the De- • Decoupling: A Building Block for antum Informa- partment of Mathematics and Statistics of the Mont- tion eory (P. Hayden) réal • NMR antum Computer (R. Laflamme) • Security Proofs in antum Cryptography (R. Renner) Organizers: • Implementations of antum Information (B. San- Daniel Goesman (Perimeter Inst.), Julia Kempe (Tel ders) Aviv), Christiane Rousseau (Montréal), Alain Tapp • antum Walks and Algorithms (M. Santha) (Montréal) • antum Algorithms and the Mathematics of an- Conférenciers: tum Information Processing (A. Tapp) Sco Aaronson (MIT), Gilles Brassard (Montréal), • Hamiltonian Problems in antum Complexity Richard Cleve (Waterloo), Ronald de Wolf (CWI), (B. Terhal) Daniel Goesman, Patrick Hayden (McGill), Esther • Semidefinite Programming in antum Computation Hänggi (ETH Zürich), Raymond Laflamme (Perimeter (J. Watrous) Inst. & Waterloo), Renato Renner (ETH Zürich), Barry Non seulement les participants provenaient de lieux Sanders (Calgary), Miklos Santha (Paris-Sud), Alain géographiques très variées, mais leurs formation Tapp, Barbara Terhal (IBM Res.), John Watrous (Wa- étaient assez diversifiées (mathématiques, informa- terloo), Stefan Wolf (ETH Zürich) tique, physique et ingénierie). Des sujets très diversi- Number of participants: 75 fiés avec des niveaux de difficulté variables ont contri- L’école d’été qui eut lieu dans les locaux de l’Université bué à faire du SMS une expérience formatrice pour cha- de Montréal du 21 juin au 2 juillet fut un grand succès. cun. Il est à noter que le style de présentation variait Nous eûmes le plaisir d’accueillir près de 75 partici- beaucoup d’un mini-cours à l’autre. Par exemple, Re- pants provenant de toutes les parties du monde (Ca- nato Renner a utilisé ses trois heures pour présenter au nada, États-Unis, France, Royaume-Uni, Norvège, Al- tableau noir une preuve très détaillée de la sécurité de gérie, Israël, Jordanie, Maroc, Tunisie, Arménie, Alba- la distribution quantique de clés (QKD en anglais) et nie, Autriche, Suisse, Ukraine, Corée du sud, Mexique Barry Sanders a entre autres présenté des vidéos illus- et Singapour). La qualité des conférences était absolu- trant un point de vue artistique sur le fonctionnement ment exceptionnelle. Les conférenciers qui furent invi- d’un ordinateur quantique. tés à l’école d’été sont tous des chercheurs de très haut Ces deux semaines intenses ont aussi été l’occasion calibre et ont donné des preuves de leurs qualités pé- pour plusieurs participants de faire des rencontres sti- dagogiques remarquables. Voici la liste des mini-cours mulantes et d’établir des contacts. Plusieurs d’entre donnés pendant le séminaire de mathématiques supé- eux ont tissé des liens avec des chercheurs provenant rieures. d’autres institutions et les conférenciers ont aussi pro- • antum Complexity eory (S. Aaronson) fité de cee rencontre pour travailler ensemble sur dif- • Non-QKD Cryptography (G. Brassard) férents projets communs. • antum Nonlocality and Communication Complex- ity (R. Cleve)

24 G P

Tenth International Conference on Le programme détaillé de MPC 2010 se trouve à Mathematics of Program Construction l’adresse http://mpc-amast2010.fsg.ulaval.ca/ (MPC 2010) mpc/programme.html. June 21 – 23, 2010, Manoir Saint-Castin (ébec) Lors du banquet, une plaque souvenir a été remise Sponsored by the CRM and the Faculty of Sciences and à Roland Backhouse, conférencier invité et l’un des Engineering of Laval deux initiateurs de la série des congrès MPC, afin de Organizers: le remercier et de commémorer cee 10ᵉ édition de Claude Bolduc (Laval), Jules Desharnais (Laval), Béchir MPC. Les comptes rendus de MPC 2010 constituent Ktari (Laval) le volume 6120 des Lecture Notes in Computer Sci- Invited speakers: ence de Springer (http://www.springerlink.com/ Roland Backhouse (Noingham), Stephan Merz (IN- content/978-3-642-13320-6/). Les auteurs des RIA Nancy) meilleurs articles ont reçu une invitation à soumere Other speakers: une version plus élaborée de leur article à la revue Sci- Eerke Boiten (Kent), Yifeng Chen (Peking), Nils ence of Computer Programming. De nombreux parti- Anders Danielsson (Noingham), Brijesh Dongol cipants ont souligné la qualité de l’organisation et la (eensland), Steve E. Dunne (Teesside), João F. Fer- beauté du site choisi. reira (Noingham), Walter Gumann (Sheffield), Ralf Parmi les retombées de MPC 2010, mentionnons les Hinze (Oxford), Piotr Kosiuczenko (Leicester), Andres éléments suivants : Löh (Utrecht), Hugo Daniel Macedo (Minho), Hugo • la mise en évidence des progrès dans le développe- Pacheco (Minho), Peter Pepper (TU Berlin), Florence ment des mathématiques de la construction de pro- Plateau (Paris-Sud), Jan Ruen (CWI), Josep Silva grammes, (UPV), Georg Struth (Sheffield), Bogdan Tofan (Augs- • la promotion d’outils facilitant l’automatisation des burg), Meng Wang (Oxford) méthodes, Number of participants: 46 • l’intégration à la communauté MPC de nouveaux MPC 2010 a eu lieu au Manoir Saint-Castin, à Lac- chercheurs (notons que cinq étudiants de doctorat ou Beauport, en banlieue de ébec. Le programme a stagiaires postdoctoraux ont fait des présentations), consisté de deux présentations faites par des confé- • la possibilité offerte à cinq étudiants ou étudiantes renciers invités, de 19 présentations d’articles choi- de l’Université Laval de participer à un congrès in- sis parmi 37 à la suite d’un processus d’évalua- ternational près de chez eux, tion rigoureux, et d’un banquet suivi d’une visite du • le transfert de certaines méthodes au monde de l’en- Vieux-ébec. Le congrès MPC a précédé le congrès treprise (à moyen terme) et AMAST 2010 (13th International Conference on Alge- • la promotion de la ville de ébec comme lieu de braic Methodology And Soware Technology), dont travail ou d’étude. on trouvera un compte rendu ci-dessous. Les deux Thirteenth International Conference on congrès ont des buts similaires, mais ceux d’AMAST Algebraic Methodology and Soware sont plus généraux alors que MPC se concentre prin- Technology (AMAST 2010) cipalement sur la construction de programmes. Sur les June 23 – 26, 2010, Manoir Saint-Castin (ébec) 46 participants, 22 ont participé aux deux congrès. Sponsored by the CRM and the Faculty of Sciences and Les congrès de la série MPC visent à promouvoir Engineering of Laval le développement de principes et de techniques ma- thématiques utiles pour la construction des logiciels Organizers: et des systèmes informatiques. Les présentations ont Claude Bolduc (Laval), Jules Desharnais (Laval), Béchir porté sur la construction et la vérification des pro- Ktari (Laval) grammes, le raffinement des spécifications, la sé- Invited speakers: mantique des langages de programmation, les al- Jane Hillston (Edinburgh), Catuscia Palamidessi (IN- gèbres de processus, les théories de la programmation, RIA Saclay) les systèmes de types, les structures mathématiques Other speakers: utiles et l’automatisation de certaines démarches. Claude Bolduc, Linda Brodo (Sassari), Raul Gutiér- rez (UPV), Ralf Hinze (Oxford), Ekaterina Komen-

25 C    dantskaya (Dundee), Grigore Rosu (UIUC), Adrián postdoctoraux ont fait des présentations pendant le Riesco (Complutense), M. Carmen Ruiz Delgado congrès AMAST 2010. (Castilla-La Mancha), Mehrnoosh Sadrzadeh (Oxford), Mohamed Nassim Seghir (Freiburg, Germany), Michel Conference Sintzoff (UC Louvain), Julien Tesson (Orléans) Strong and Electroweak Maer 2010 Number of participants: 34 June 29 — July 2, 2010 Sponsored by the Department of Physics of McGill, the AMAST 2010 était la treizième édition de la série de Perimeter Inst., the Institute of Particle Physics, the congrès International Conference on Algebraic Method- Canadian Institute of Nuclear Physics, the CRM, and ology and Soware Technology. Les congrès MPC et the Mathematical Physics Laboratory AMAST ont lieu tous les deux ans. En 2008, ils ont eu lieu dans des endroits différents, mais en 2010 les deux International Advisory Commiee: congrès ont eu lieu au Manoir St-Castin, en banlieue Peter Arnold (Virginia), Jürgen Berges (TU Darm- de ébec. Parmi les 34 participants d’AMAST 2010, stadt), Wilfried Buchmüller (Hamburg), Zoltán Fodor 22 ont participé aussi à MPC 2010. Le programme (Wuppertal), Mark Hindmarsh (Brighton), Edmond d’AMAST 2010 a consisté de deux présentations faites Iancu (CEA/Saclay), Frithjof Karsch (Brookhaven Natl. par des conférencières invitées, de 12 présentations Lab.), Dmitri Kharzeev (Brookhaven Natl. Lab.), Ed- d’articles choisis parmi 30 à la suite d’un processus win Laermann (Bielefeld), Mikko Laine (Bielefeld), d’évaluation rigoureux, et d’une visite du site tradi- Cristina Manuel (UA Barcelona), Anton Rebhan (TU tionnel huron de Wendake. Wien), Kari Rummukainen (Oulu), Mikhail Shaposh- Le but principal des congrès AMAST est de promou- nikov (EPFL), Edward Shuryak (Stony Brook), Lau- voir la recherche visant à donner une base mathé- rence Yaffe (Washington) matique solide aux technologies de l’information, afin Local Organizing Commiee (McGill): d’assurer de manière démontrable la correction, la sé- Robert Brandenberger, Jim Cline, Keshav Dasgupta, curité, la portabilité et l’évolution des systèmes logi- Charles Gale, Sangyong Jeon, Alex Maloney, Guy ciels. Les présentations ont porté sur la vérification Moore, Alejandra Castro, Andrew Frey, Omid Saremi, des programmes et en particulier des propriétés de Bjoern Schenke, Marcus Tassler, Bret Underwood sécurité, les algèbres de processus, les systèmes de Speakers: types et les structures algébriques utiles. Deux des Gert Aarts (Swansea), Yukinao Akamatsu (Tokyo), présentations ont consisté de démonstrations de sys- Jens Andersen (NTNU), Christiana Athanasiou (MIT), tèmes informatiques meant en oeuvre certaines mé- Szabolcs Borsányi (Wuppertal), Margaret Carrington thodes formelles. Le programme détaillé se trouve à (Brandon), Paul Chesler (MIT), Francesco D’Eramo l’adresse http://mpc-amast2010.fsg.ulaval.ca/ (MIT), Daniel Fernandez-Fraile (Frankfurt am Main), amast/programme.html. Zoltán Fodor, Mathias Garny (TU München), Jacopo Ghiglieri (TU München), Andreas Hohenegger (MPI On doit souligner une participation féminine impor- Kernphysik), Juhee Hong (Stony Brook), Pasi Huovi- tante pour un congrès d’informatique, puisque sur nen (Frankfurt am Main), Joseph Kapusta (Minnesota), les 14 présentations, 6 présentations (dont deux par Frithjof Karsch, Volodymyr Konchakovski (Gießen), les conférencières invitées) ont été faites par des Chris Kouvaris (ULB), Aleksi Kurkela (ETH Zürich), femmes. Les comptes rendus de MPC 2010 constituent Roy Lacey (Stony Brook), Olena Linnyk (Frankfurt le volume 6486 des Lecture Notes in Computer Sci- am Main), Yacine Mehtar-Tani (Santiago de Com- ence de Springer (http://www.springerlink.com/ postela), Akihiko Monnai (Tokyo), Swagato Mukher- content/978-3-642-17795-8/). Le congrès AMAST jee (Brookhaven Natl. Lab.), Joyce Myers (Swansea), 2010 a permis de mere en évidence les progrès dans Rob Myers (Perimeter Inst.), Marco Panero (ETH Zü- les méthodes algébriques pour le développement des rich), Maxim Pospelov (Victoria & Perimeter Inst.), An- logiciels. Il a aussi permis de promouvoir des outils ton Rebhan, Paul Romatschke (Frankfurt am Main), facilitant l’automatisation des méthodes et offert à omas Schaefer (NC State), Jürgen Schaffner-Bielich des étudiants ou stagiaires postdoctoraux la possibi- (Heidelberg), Andreas Schmi (TU Wien), Geraldine lité de participer à un congrès international important. Servant (CERN & CEA/Saclay), Mikhail Shaposhnikov, En particulier, six étudiants de doctorat ou stagiaires Igor Shovkovy (Arizona State), Derek Teaney (Stony

26 G P

Brook), Anders Tranberg (Oulu), Kimmo Tuominen Invited speakers: (Southern Denmark), Tanmay Vachaspati (Case West- eo Gevers (Amsterdam), Leo Grady (Siemens, ern Reserve), Mikko Vepsäläinen (Helsinki), Sergei Princeton), Yann LeCun (Courant Inst.) Voloshin (Wayne State), Aleksi Vuorinen (Bielefeld) Number of participants: 80 Number of participants: 117 Le congrès ICISP 2010 était le quatrième congrès de is conference is part of a series of conferences held la série International Conference on Image and Signal every two years. It drew 80 external participants and Processing (ICISP). Il avait pour but de fournir aux about 35 local ones, including professors, postdoctoral chercheurs et praticiens du milieu universitaire et du fellows, and students from institutions in 20 different secteur privé un forum où présenter les résultats les countries. In total there were 15 invited speakers (each plus récents en traitement des images et du signal, en of which gave a 45-minute research talk) and 29 re- multimédia et en infographie. Voici quelques-uns des searchers who made contributed presentations (28 of thèmes traités pendant le congrès : filtrage et codage which lasted for 30 minutes and one lasted 20 minutes). d’images, reconnaissance des formes, biométrie, trai- Also 20 posters were on display during a poster ses- tement du signal, codage et traitement de vidéos, vision that took place on the evening of July 1st. Here sion par ordinateur et applications médicales. De plus are some topics covered by the conference. le congrès inclut une session d’affiches. Le prix du • e phase diagram and equation of state of quantum meilleur article fut aribué à Samy Metari et François chromodynamics (QCD). Deschênes pour l’article intitulé « A novel polychro- • Methods to study dynamics for systems far from matic model for light dispersion ». Les actes du congrès equilibrium. ont été publiés par la maison Springer (Lecture Notes • Non-equilibrium dynamics in the early universe. in Computer Science, volume 6134). • Properties of maer created in heavy-ion collisions. Workshop on Bifurcation Analysis and its • Dynamics of dense nuclear maer. Applications • Holographic models of strongly coupled maer. July 7 — 10, 2010, Concordia One of the highlights of the conference was the presen- Sponsored by the Applied Mathematics Laboratory, tation of Rob Myers, who showed how the celebrated the Centre for Applied Mathematics in Biosciences and Viscosity Bound is violated and what its replacement Medicine (CAMBAM) at McGill, and the Office of the might be. Another highlight was the talk by Zoltán Vice-President, Research and Graduate Studies of Con- Fodor, who clarified why different groups have ob- cordia tained inconsistent results for the equation of state of QCD maer and showed that the equation of state is Organizers: now under much beer theoretical control than before. Eusebius Doedel (Concordia), Lennaert van Veen (UOIT) International Conference on Image and Speakers: Signal Processing (ICISP 2010) Pablo Aguirre (Bristol), Steven Baer (Arizona State), June 30 – July 2, 2010, UQTR Roberto Barrio (Zaragoza), Wolf-Jürgen Beyn (Bie- Sponsored by the CRM, the International Association lefeld), Renato Calleja (McGill), Alan Champneys for Paern Recognition (IAPR), and the European As- (Bristol), Harry Dankowicz (UIUC), Gábor Domokos sociation for Signal Processing (EURASIP) (BUTE), Federico Frascoli (Swinburne), Jorge Galán (Sevilla), Leon Glass (McGill), Willy Govaerts (Gent), General Chairs George Haller (McGill), Andrew Hazel (Manchester), Abder Elmoataz (Caen), Fathallah Nouboud (UQTR) Robert Hölzel (München), Bill Kalies (Florida At- Program Chairs: lantic), Markus Kirkilionis (Warwick), Mark Kramer Olivier Lezoray (Caen), Driss Mammass (Ibn Zohr), (Boston), Bernd Krauskopf (Bristol), Rouslan Krechet- Jean Meunier (Montréal) nikov (UC Santa Barabara), Yuri Kuznetsov (Utrecht), Local Commiee (UQTR): Greg Lewis (UOIT), Bart Oldeman (Concordia), Hinke Linda Badri, Mourad Badri, Alain Chalifour (chair) Osinga (Bristol), Juan Sánchez (UP Catalunya), Tobias Schneider (Harvard), Andrey Schilnikov (GSU) Number of participants: 30

27 C   

e Workshop on Bifurcation Analysis and its Appli- Jonathan Pila (Bristol), Zeev Rudnick (Tel Aviv), cations was in some sense the continuation of a series K. Soundararajan (Stanford) of highly successful meetings on bifurcation analysis Invited speakers: (held in Amsterdam, Bielefeld, Bristol, Ghent, Seville, Nils Bruin (Simon Fraser), Yann Bugeaud (Louis Pas- Utrecht, and Milan in 2009). It aracted about 30 par- teur), Samit Dasgupta (UC Santa Cruz), Kirsten Eisen- ticipants from ten different countries. anks to the träger (Penn State), David Mandell Freeman (Stanford), generous support of the CRM, CAMBAM, and Concor- Jayce Robert Getz (Princeton), Julia Gordon (UBC), dia University, the organizers of the workshop were Mahew Greenberg (Calgary), Heekyoung Hahn (Al- able to offer accommodation for all speakers, waive bany), Kevin Hare (Waterloo), Roman Holowinsky registration fees, and supply graduate students and (Ohio State), Matilde Lalín (Montréal), Aaron Levin postdoctoral fellows with partial travel support. (IAS), Yu Ru Liu (Waterloo), Allison Pacelli (Williams e workshop featured presentations on recent devel- Coll.), Michael Rubinstein (Waterloo), Jonathan Soren- opments in numerical bifurcation analysis as well as son (Butler), Andrew V. Sutherland (MIT), Adrian Va- the applications of known methods to open problems siu (Binghamton), John Voight (Vermont), Mahew P. in engineering, industry, physiology, fluid dynam- Young (Texas A&M) ics, and classical mechanics. e presentations were Number of participants: 130 grouped around a certain field of application, or the e Canadian Number eory Association’s biennial development of algorithms, on each day. Here are the meetings are amongst the largest meetings of the themes that were chosen: Algorithms for ODEs and world’s leading number theorists. e eleventh meet- Conservative Systems (Day 1); Algorithms for PDEs ing was no exception, aracting 130 participants from and Fluid Dynamics (Day 2); Biomedical Applications Europe, North America, and Australia. e meeting (Day 3); Industrial Applications and Mechanical Sys- began on Sunday, July 11, with a plenary talk by Zeev tems (Day 4). Each block of presentations on a given Rudnick entitled Eigenfunctions and Sums of Squares, theme was introduced by a leader in the field, who gave and proceeded through the week with 82 other lectures an overview of recent developments and open prob- on a variety of topics in number theory, including o- lems. At the end of each day, there was a demonstra- minimal structures, vanishing of L-functions, rational tion of recently developed soware, as well as time for points on algebraic varieties, and Diophantine approx- discussion and code exchange. e workshop web- imation. site is located at http://cmvl.cs.concordia.ca/ baa-2010/ and contains all abstracts and most presen- One of these lectures, on Wednesday, July 14, was tation slides. given by Valentin Blomer, recipient of the 2010 Riben- boim Prize for distinguished research in number the- Canadian Number Theory Association 11th ory by a mathematician who is Canadian or who has Meeting (CNTA XI) close connections to Canadian mathematics. His prize July 11 – 16, 2010, Acadia lecture was entitled On the Ramanujan Conjecture and Sponsored by the Atlantic Association for Research in described Dr. Blomer’s impressive work on generaliza- the Mathematical Sciences (AARMS), the CRM, the Na- tions of the conjecture and their proofs. e conjec- tional Security Agency (NSA), Acadia, and the Number ture, which was proven in 1973 by Deligne, states that eory Foundation (NTF) if p is prime, then the Fourier coefficient τ(p) of the cusp form ∆(z) of weight 12 satisfies |τ(p)| ≤ 2p11/2. Organizing Commiee: In his talk, Dr. Blomer described his joint work with Chantal David (Concordia), John Friedlander Farrell Brumley in proving a natural generalization of (Toronto), Eyal Goren (McGill), Andrew Granville the conjecture to the groups GLn over arbitrary num- (Montréal), Jeff Hooper (Acadia), David McKinnon ber fields. (Waterloo), Hugh Williams (Calgary) Most of the plenary lectures were, of course, not prize Plenary speakers: lectures. Michael Benne’s lecture featured a novel ap- Michael Benne (UBC), Jan Bruinier (TU Darmstadt), proach to solving an infinite family of ue – Mahler Kevin Buzzard (Imperial Coll.), Hershey Kisilevsky equations, extending work of Darmon and Granville. (Concordia), Stephen Kudla (Toronto), Kristin Lauter Jan-Hendrik Bruinier gave an impressive algebraic (Microso Res.), Ken Ono (Wisconsin – Madison),

28 G P talk, in which he described the calculation of spe- changes that are some of the greatest fruits of math- cial values of modular functions associated to Shimura ematical conferences. ere was also a brief meeting curves. Kevin Buzzard gave an overview of the p-adic in the middle of the conference to discuss the future Langlands program and recent progress towards some of CNTA. It had already been decided that the Twelh proofs. Hershey Kisilevsky’s talk dealt with the varia- Meeting, in 2012, would be held in Lethbridge, but dur- tion in the rank of the Mordell–Weil group of an el- ing the week of the 2010 meeting it was also agreed liptic curve as the number field of definition varies. that the Association would return to Oawa, at Car- Kristin Lauter discussed the problem of how to count leton University, for its irteenth Meeting in 2014. certain kinds of simultaneous embeddings of certain number rings into quaternion algebras over totally real Conference fields, which relates to a famous formula of Gross and LaCIM 2010: 20th Anniversary of LaCIM Zagier and the intersection pairing on a Hilbert mod- August 29 – 31, 2010, UQAM ular surface. Sponsored by UQAM, the CRM, and the Canada Re- search Chair in Combinatorial Algebra and Mathemat- An application of model theory to number theory was ical Computing (UQAM) the main theme of Jonathan Pila’s plenary lecture. He described a novel idea of Umberto Zannier to use o- Organizers: minimal structures to solve Diophantine equations, François Bergeron (UQAM), Srečko Brlek (UQAM), and used it to prove the Andre-Oort conjecture for Christophe Hohlweg (UQAM), Christophe Reutenauer products of modular curves. Zeev Rudnick, on the (UQAM) other side of number theory, probed the boundary with Invited speakers: mathematical physics by using diophantine techniques François Bergeron, Jean Berstel (Marne-la-Vallée), to describe the set of eigenfunctions of the Laplacian Alain Denise (Paris-Sud), Adriano Garsia (UC San operator on flat tori. In a similar vein, K. Soundarara- Diego), Florent Hivert (Rouen), Michel Mendès France jan’s talk described applications of number theory to (Bordeaux 1) quantum chaos, including problems that lie in the in- Other speakers: tersection of the two fields. In particular, Soundarara- Alexandre Blondin Massé (UQAM), Stefano Broc- jan discussed the proof of a conjecture of Rudnick chi (Firenze), Émilie Charlier (ULB), Gabriele Fici and Sarnak that the high-energy eigenfunctions of the (Nice Sophia Antipolis), Jean-Philippe Labbé (FU Ber- Laplacian on the quotient of the complex upper half- lin), Gilbert Labelle (UQAM), Aaron Lauve (Loyola R plane by an arithmetic subgroup of SL2( ) are equidis- Chicago), ierry Monteil (Montpellier 2), Maddelana tributed. Poneti (Siena), Xavier Provençal (UQAM), Yuval Roich- In all, the meeting featured ten plenary lectures, in ad- man (Bar-Ilan), Christian Stump (Hannover) dition to Valentin Blomer’s prize lecture and Ken Ono’s La conférence LaCIM 2010 avait pour but de célé- public lecture on Ramanujan and his discovery of mock brer le 20ᵉ anniversaire du Laboratoire de combina- theta functions. is sounds fairly technical for a gen- toire et d’informatique mathématique. Depuis 20 ans, eral audience, but Dr. Ono’s talk was very accessi- les membres du LaCIM poursuivent des recherches ble, featuring photographs of his research trips to In- sur les aspects combinatoires de l’algèbre et en infor- dia and a very down-to-earth description of Ramanu- matique théorique, bioinformatique, physique et théo- jan’s mathematics. Dr. Ono also gave a plenary lec- rie des nombres. Pour la conférence LaCIM 2010, les ture aimed at professional number theorists, in which membres du laboratoire ont invité des conférenciers he described the uses of Ramanujan’s mock theta func- renommés afin qu’ils présentent les progrès récents tions in the study of special values of L-functions. dans les domaines de recherche auxquels les membres ere were also 22 invited lectures, each lasting for ap- du LaCIM ont contribué pendant les dernières décen- proximately 35 minutes, and 49 lectures contributed nies. J. Berstel fit une présentation sur les nombres et by other participants, each lasting between 15 and 20 les mots, A. Denise une présentation sur la combina- minutes. e pace of the meeting was very pleasant, toire pour la bioinformatique des structures molécu- with plenty of mathematical energy generated by the laires, A. Garsia une présentation sur les opérateurs talks, and yet plenty of time before, aer, and between de Hall-Lilewood en théorie des « fonctions de par- the talks to allow for the interesting mathematical ex- king », F. Hivert une présentation sur la transformée

29 C   

(1 − E) dans les algèbres de Hopf combinatoires et Participants came from Canada, France, Germany, M. Mendès France une conférence sur l’optique élé- Italy, and the United States. e friendly environ- mentaire et l’arithmétique. Le reste des présentations ment allowed many exchanges between them. e portaient (entre autres sujets) sur la combinatoire des first session focused on enumeration problems. T. mots, les arrangements d’hyperplans, les automates, Walsh gave an exhaustive survey of counting maps les fonctions symétriques et la reconstruction des ma- on surfaces of genus 1. e other sessions were de- trices binaires. voted to the generation of combinatorial structures: regular and context-free languages (second session); Conference exhaustive generation by the ECO method (E. Bar- GASCom 2010 cucci); RNA secondary structures, unary-k-ary trees September 2 – 4, 2010, UQAM (D. Gouyou-Beauchamps); Gray codes and Catalan Sponsored by UQAM, the CRM, and the Canada Re- structures (third and fourth sessions). e topics of the search Chair in Combinatorial Algebra and Mathemat- last session were Tatami tilings (F. Ruskey), the gener- ical Computing (UQAM) ation of special classes of monohedral tilings, and sand piles. Organizing Commiee: Alexandre Blondin Massé (UQAM), Srečko Brlek Montréal – Toronto Workshop in Number (UQAM, chair), Ariane Garon (UQAM), Sébastien Theory Labbé (UQAM), Christophe Reutenauer (UQAM, September 4 – 5, 2010, CRM cochair), Lise Tourigny (UQAM, secretary), Jérôme Sponsored by the CRM and the Fields Inst. Tremblay (UQAM, technical support) Scientific Commiee: Organizers: Srečko Brlek, Jean-Marc Fédou (Nice Sophia Antipolis), Eyal Goren (McGill), Steve Kudla (Toronto) Renzo Pinzani (Firenze), Christophe Reutenauer, Gilles Speakers: Schaeffer (École Polytechnique), Vincent Vajnovszki Dylan Awell-Duval (McGill), Victoria de ehen (Bourgogne) (McGill), Andrew Fiori (McGill), Jayce Getz (McGill), Invited speakers: Eyal Goren, Fritz Hörmann (McGill), Steve Kudla, Ba- Elena Barcucci (Firenze), Dominique Gouyou- hareh Mirza (McGill), Siddarth Sankaran (Toronto), Beauchamps (Paris-Sud), Frank Ruskey (Victoria), Brian Smithling (Toronto), Patrick Walls (Toronto) Timothy Walsh (UQAM) Number of participants: 30 (including 9 from Other speakers: Toronto) Mohamed Abdo (UQAM), Alain Denise (Paris-Sud), Ariane Garon, Alice Jacquot (Paris 13), Florent Le Gac e Montréal – Toronto Workshop in Number eory (Bordeaux 1), Paolo Massazza (L’Insubria), Johan is a new joint initiative, conceived by us as a way to Oudinet (Paris-Sud), Renzo Pinzani, Yann Ponty (École foster stronger relations between the active groups in Polytechnique), Olivier Roussel (Marne-la-Vallée), number theory and arithmetic geometry in the two Vincent Vajnovszki, Akka Zemmari (Bordeaux 1) cities. e workshop enjoys financial support from Number of participants: 45 both the CRM in Montréal and the Fields Institute in Toronto. e program of the first workshop was fo- GASCom 2010 was the seventh conference in a series cused on recent developments in the theory of orthog- initiated in 1994 in Bordeaux. e conference topic onal Shimura varieties. Among the participants were is the random and exhaustive generation of combina- graduate students, postdoctoral fellows, faculty, and torial objects and bijective combinatorics with focus visiting faculty. on theoretical approaches. In particular the confer- e program of the first day consisted of background ence emphasizes the combinatorial, algebraic, and al- lectures given by Dylan Awell-Duval, Andrew Fiori, gorithmic aspects of combinatorial objects generation. Patrick Walls, Brian Smithling, Bahareh Mirza, Victo- It also considers relations with other parts of math- ria de ehen, Jayce Getz, and Siddarth Sankaran. e ematics, combinatorics, computer algebra, computer first day concluded with a lecture by Fritz Hörmann, a science, physics, and biology. new postdoctoral fellow at McGill, on the results contained in his thesis. is series of lectures was out-

30 G P standing in its clarity and scope, and that is especially Number of participants: 48 commendable given that many of the speakers were La Conférence ébec-Maine annuelle en théorie des graduate students. Following the day’s lectures, we nombres alterne entre l’Université Laval (dans la ville headed for a joint dinner, which provided a fantastic de ébec) et la University of Maine (dans la ville opportunity to follow up on some of the day’s topics d’Orono). Parmi les participants de la conférence de and foster connections between the two communities. 2010, qui se tint à l’Université Laval, on comptait une e program of the second day started at 9:30 and douzaine d’étudiants, et les 30 conférenciers ont pré- ended in the early aernoon. It consisted of two 90- senté leurs résultats dans une atmosphère de cama- minute lectures, given by Goren and Kudla (respec- raderie. Les pauses-santé (le café se transformant en tively), who surveyed some of the recent progress in théorèmes via l’alchimie d’Erdős) et le banquet japo- the area on which the workshop was focused. Goren nais traditionnel favorisèrent les échanges entre ma- surveyed the work done in the last years on gener- thématiciens. Pour plusieurs des participants, cee alizing the theorem of Gross and Zagier on singu- conférence est devenue une rencontre à ne pas man- lar moduli to the seing of multiplicative averages of quer. Le lecteur trouvera le programme scientifique de Borcherds lis on CM cycles, and, in a different di- la conférence de 2010 à l’adresse http://www.math. rection, to the study of primes for which two abelian umaine.edu/numbertheory/qm10.html. varieties with CM may have an isomorphic reduc- tion. Kudla devoted his lecture to explaining the re- Colloquium cent breakthrough made by Bruinier in generalizing Contemporary Statistical Methodology the Borcherds li to the context of Hilbert modular va- October 6 – 7, 2010, Université de Sherbrooke rieties and orthogonal groups over totally real fields. Sponsored by the Statistics Laboratory, the ISM, and the Université de Sherbrooke ébec – Maine Conference on Number Theory, 2010 Organizers: Éric Marchand (Sherbrooke), Ernest Monga (Sher- October 2 – 3, 2010, Laval brooke), Gilles Ducharme (Montpellier 2) Sponsored by the Department of Mathematics and Speakers: Statistics of Université Laval, the Number eory Taoufik Bouezmarni (Sherbrooke), Gilles Ducharme, Foundation, the National Science Foundation, and Jean-Marie Dufour (McGill), Ali Gannoun (Montpel- CICMA lier 2), Pierre Lafaye de Micheaux (Montréal), La- Organizers: jmi Lakhal Chaieb (Laval), Jean-Michel Marin (Mont- Hugo Chapdelaine (Laval), Jean-Marie De Koninck pellier 2), Mhamed Mesfioui (UQTR), Jean-François (Laval), Claude Levesque (Laval) essy (UQTR), François Perron (Montréal) Speakers: Number of participants: 25 Erwan Biland (Laval), David Bradley (Maine), Francesc Le colloque se tint au département de mathématiques Castella (McGill), Mark Colarusso (Laval), Henri Dar- de l’Université de Sherbrooke et fut un franc succès. mon (McGill), Chantal David (Concordia), Daniel Fio- Notons en particulier son caractère international et le rilli (Montréal), Philip Foth (Arizona & Champlain niveau scientifique élevé des présentations. Parmi les St. Lawrence), Eyal Goren (McGill), Fernando Gou- 15 participants qui ne donnaient pas de conférences, il vêa (Colby Coll.), Hester Graves (een’s), Mahew y avait 12 étudiants. Le colloque a aussi donné lieu à de Greenberg (Calgary), Xevi Guitart (UP Catalunya), multiples échanges scientifiques et a permis à plusieurs Caroline Junkins (Oawa), Ernst Kani (een’s), Her- jeunes chercheurs, parmi d’autres, de présenter leurs shey Kisilevsky (Concordia), Peter Kleban (Maine), intérêts et derniers résultats de recherche. L’appui de Andrew Knightly (Maine), Manfred Kolster (McMas- l’ISM et du Laboratoire de statistique du CRM fut cru- ter), Dimitris Koukoulopoulos (McGill), Stephen Kudla cial pour la réussite de l’évènement. Même s’il n’y avait (Toronto), Matilde Lalín (Montréal), Michael Lau (La- pas de thème retenu a priori, les présentations se sont val), Andreas Malmendier (Colby Coll.), Ali Özlük articulées autour des tests d’ajustement, de la modéli- (Maine), David Roe (Harvard), Ethan Smith (Concor- sation par copules, de la modélisation bayésienne, des dia), Lauren ompson (Dartmouth), Enrique Treviño (Dartmouth), Jonathan Webster (Bates Coll.)

31 C    applications en économétrie et des caractérisations en (São Paulo), Grégoire Dupont (Sherbrooke), Lutz Hille probabilités. Voici la liste des conférences. (Münster), Marcelo Lanziloa (La República), Alex • Un test d’adéquation pour la fonction de répartition Lasnier (Sherbrooke), Frédéric Latour (CCSU), Maria conditionnelle (G. Ducharme) Andrea Gatica (UN La Pampa), Marju Purin (Syra- • Hodges – Lehmann Sign-Based Estimators and Gen- cuse), Andrea Alejandra Rey (Buenos Aires), Vivien eralized Confidence Distributions in Linear Median Ripoll (UQAM), David Smith (Bishop’s), Kavita Sutar Regressions with Heterogeneous Dependent Errors (Northeastern), Hugh omas (New Brunswick), Gor- (J.-M. Dufour) dana Todorov (Northeastern), Jie Zhang (Sherbrooke) • Ordres dispersifs et « excess-wealth » pour des lois conditionnelles de copules archimédiennes (M. Mes- Speakers in the geometry and topology session: fioui) Leonid Chekhov (Steklov Inst.), Mark Colarusso (La- • Tests d’ajustement basés sur la fonction caractéristique val), Tatyana Foth (Western Ontario), William Gold- (P. Lafaye de Micheaux) man (Maryland), Jacques Hurtubise (McGill), Lisa Jef- • Médiane et quantiles conditionnels multivariés : appli- frey (Toronto), Ratnadha Kolhatkar (Laval), François cation à la modélisation et la prévision des processus Labourie (Paris-Sud), Michael Lau (Laval), Alexandre (A. Gannoun) Odesski (Brock), Eric Schippers (Manitoba) • Estimation non paramétrique des mesures de causalité Number of participants: 67 (T. Bouezmarni) L’Université de Sherbrooke a des accords de coopéra- • Tests d’hypothèses composites à base de copules tion avec plusieurs universités étrangères, dont celle (J.-F. essy) de Montpellier. Du 6 au 8 octobre 2010, l’Université S2 X • La régression de sur sous forme d’un polynôme de Sherbrooke a été l’hôte des Troisièmes Rencontres (F. Perron) Universitaires Sherbrooke-Montpellier. Notre équipe • Importance sampling methods for Bayesian discrimi- de recherche, le SAG (Structures algébriques et géo- nation between embedded models (J.-M. Marin) métriques), avait été pressentie pour organiser un des • Test d’adéquation de copules en présence de censure et colloques qui ont eu lieu à cee occasion. Comme par de fraction de guérison (L. Lakhal Chaieb) ailleurs nous organisons chaque année vers la même Colloquium on Surfaces and date une Rencontre de théorie des représentations, Representations nous avons décidé de coupler les deux évènements et October 6 – 9, 2010, Université de Sherbrooke d’en faire un colloque de 4 jours, qui a duré du 6 au 9 Sponsored by the Université de Sherbrooke, the octobre 2010 et a donc porté le nom de Colloque sur les CRM, the ISM, and the RECSUS (Regroupement des surfaces et les représentations. Des 67 participants, 30 Étudiants-Chercheurs en Sciences de l’Université de étaient des étudiants ou stagiaires postdoctoraux. Sherbrooke) Notre équipe de recherche, le SAG, s’est formée à partir d’un groupe travaillant sur les algèbres amassées (clus- Organizers: ter algebras), domaine en expansion touchant à plu- Ibrahim Assem (Sherbrooke), omas Brüstle (Sher- sieurs branches des mathématiques comme l’algèbre, brooke & Bishop’s), Virginie Charee (Sherbrooke), la géométrie, la combinatoire et la physique mathé- Tomasz Kaczynski (Sherbrooke), Christian Mercat matique. Elle rassemble des chercheurs venant d’hori- (Montpellier 2), Jean-Philippe Morin (Sherbrooke), zons différents qui, à travers le projet intégrateur que Vasilisa Shramchenko (Sherbrooke) sont les algèbres amassées, explorent les connexions Mini-course lecturers: entre divers domaines. Dans le cas de ce colloque, nous Ralf Schiffler (Connecticut), Todd Drumm (Howard) avons choisi comme thème l’interaction entre géomé- Plenary speakers: trie des surfaces et théorie des représentations des al- Syed Twareque Ali (Concordia), Steven Boyer gèbres, cee interaction étant un des outils principaux (UQAM), Christian Mercat, Konstantin Mischaikow en théorie des algèbres amassées. (Rutgers), Maria Julia Redondo (UN del Sur), Christophe Reutenauer (UQAM) Notre premier objectif, sur le plan scientifique, était Speakers in the algebra session: d’explorer de nouvelles connexions fructueuses entre Andrew Carroll (Northeastern), Flavio Ulhoa Coelho algèbre et géométrie. C’est dans cee optique que nous avions choisi les responsables de nos mini-cours,

32 G P

R. Schiffler et T. Drumm, tous deux spécialistes de l’in- Workshop teraction entre géométrie et algèbre. Chacun des deux Dark Maer from Every Direction mini-cours a duré 3 heures. Le choix des conférenciers April 1 – 3, 2011, McGill pléniers, dont chacun a donné une conférence de 45 mi- Sponsored by the CRM, Lorne Troier, NSERC, and the nutes, a aussi reflété notre souci de couvrir un éventail Department of Physics of McGill aussi large que possible de techniques, tout en restant fidèles à l’objectif de bien comprendre les différents as- Organizers: pects des algèbres amassées. Tant les conférenciers plé- Robert Brandenberger (McGill), Jim Cline (McGill), niers que les responsables des mini-cours sont des ma- Andrew R. Frey (McGill), Pat Sco (McGill) thématiciens et conférenciers de très grande qualité. Speakers: Kevork Abazajian (Maryland), Brian Batell (Perimeter Un autre objectif, tout aussi important, était de contri- Inst.), Basudeb Dasgupta (Ohio State), Adrienne Erick- buer à la formation des étudiants et stagiaires post- cek (Perimeter Inst. & CITA), Andrew R. Frey, Paolo doctoraux : ceux-ci ont été initiés à l’interaction entre Gondolo (Utah), David Morrissey (TRIUMF), Annika deux domaines des mathématiques. Nous espérons que Peter (UC Irvine), Maxim Pospelov (Perimeter Inst. & ceci leur a permis de dépasser le cloisonnement inhé- Victoria), Adam Ritz (Perimeter Inst. & Victoria), Jen- rent aux études de premier cycle. Les mini-cours et les nifer Siegal-Gaskins (Ohio State), Tracy Slatyer (IAS), exposés pléniers devaient leur donner une vue syn- Gordana Tesic (McGill), Aaron Vincent (McGill), Wei thétique de leurs domaines, et les deux sessions spé- Xue (McGill) ciales, une en géométrie et l’autre en algèbre, devaient Number of participants: 27 leur permere d’écouter des exposés plus spécialisés dans leurs domaines respectifs. L’horaire et les résu- e identity of dark maer still eludes us. e re- més des conférences sont disponibles à l’adresse http: cent run of hints from various experiments shows that //prospero.dmi.usherb.ca/sag/Archives.aspx. positive identification will require strongly correlated L’ambiance de travail a été relaxée et amicale tout au signals from a number of very different messengers. long de la rencontre. Le niveau d’échanges a été par- is workshop brought together North American phe- ticulièrement élevé, avec de nombreuses questions fé- nomenologists working on dark maer detection from condes permeant de préciser des points et parfois ou- a broad range of directions, to examine how differ- vrant de nouvelles pistes de réflexion. La plupart des ent constraints and detections can be compared and participants se connaissaient depuis longtemps, et ont combined in a holistic and self-consistent way. e l’habitude de travailler ensemble. Parmi les retombées, workshop was roughly divided into sessions on dark la plus immédiate concerne les étudiants (québécois, maer models, direct and indirect detection of dark européens, nord-américains et sud-américains). Tous maer, with 11 invited speakers and 4 local partici- nous ont dit à quel point tant les mini-cours que les ex- pants giving talks of half-an-hour apiece. e event posés ont été formateurs pour eux. Ils ont aussi relevé was relatively small and informal, resulting in more le fait que ce colloque leur a permis de faire la connais- extensive discussions surrounding each talk than is sance de chercheurs étrangers dont ils étudient les tra- typical at most workshops. Aendees benefited from vaux et qu’ils n’avaient pas eu l’occasion de rencontrer the participation of a number of renowned experts in auparavant, et surtout d’avoir des échanges avec eux, the field, including Paolo Gondolo, Annika Peter, and des échanges qu’ils ont qualifiés d’exceptionnellement Tracy Slatyer. Many of the participants reported that cordiaux et fructueux. existing projects with collaborators were significantly advanced or new collaborations were started during Parmi les retombées sur le plan scientifique, mention- the workshop. nons le fait que chacun des participants fut mis au courant des résultats obtenus par les collègues des autres Colloquium universités et le renforcement des liens de coopération 68th Algebra Day entre les chercheurs présents, qu’ils soient européens, April 9, 2011, Oawa nord-américains ou sud-américains. D’autre part, plu- Sponsored by the CRM sieurs participants ont profité de cee rencontre pour faire avancer leurs propres travaux de recherche. Organizer: Hadi Salmasian (Oawa)

33 C   

Speakers: Stephen Kudla, Kumar Murty (Toronto), Shervin Mahdi Asgari (Oklahoma State), Abraham Broer Shahrokhi-Tehrani (Toronto), John Voight (Vermont) (Montréal), Nikita Karpenko (UPMC), Gordan Savin (Utah), Oded Yacobi (Toronto) is workshop was devoted to the arithmetic as- Number of participants: 25 pects of Hilbert modular varieties. e main focus of the workshop was on the algebraic cycles on Hilbert e list of speakers at the 68th Algebra Day in- modular varieties and their integral models, Hirze- cluded four senior mathematicians and one postdoc- bruch – Zagier cycles, Tate conjectures, and connec- toral fellow. e conference began with the lecture tions with modular forms and special values of L- by G. Savin, who spoke on his joint work with Chan- functions. e workshop started with a survey, pre- drasekhar Khare and Michael Larsen on a new method sented by E. Goren. S. Shahrokhi-Tehrani spoke on for realization of finite groups of Lie type as Galois Hilbert modular forms and cohomology. D. Awell- groups over rational numbers. N. Karpenko spoke Duval spoke on Chern numbers of Hilbert modular about recent progress on the study of Chow rings varieties. Z. Amir-Khosravi spoke on integral mod- and motives of Hermitian Grassmannians. M. As- els. F. Hoermann gave a lecture on toroidal compact- gari started the aernoon session by discussing his ifications and J. Voight a lecture on the computing of joint work with Werner Müller on a generalization of Hilbert modular forms. H. Darmon gave a talk on the Weyl’s law in the context of automorphic forms on algebraic cycles on Hilbert modular varieties, K. Murty higher rank groups. O. Yacobi talked about a con- a talk on Tate conjectures, and S. Kudla a talk on arith- nection between branching laws for the symplectic metic special cycles and quartic CM points. J. Getz pre- and the general linear groups using the novel idea sented joint work with Mark Goresky. of branching algebras. e last lecture was given by A. Broer who explained new results on the cohomol- GERAD Spring School 2011 on Evolutionary ogy of nilpotent varieties. Games May 4 – 7, 2011, HEC Montréal e participants (including several graduate students Sponsored by GERAD, the Chair in Game eory and and postdoctoral fellows) came from the two local Management (HEC Montréal), and the CRM universities (Carleton University and the University of Oawa), as well as from places such as London, Organizer: Georges Zaccour (HEC Montréal) Ontario. e conference had a wide scope and the Speakers: talks addressed several topics from algebraic geome- Ross Cressman (Wilfrid Laurier), Josef Hoauer try, number theory, and representation theory, three (Wien), Sabin Lessard (Montréal), Bill Sandholm areas where research is conducted at Carleton Univer- (Wisconsin – Madison), Sylvain Sorin (UPMC), Jörgen sity and the University of Oawa. e speakers made Weibull (SSE) their lectures accessible to an audience with a broad Number of participants: 59 range of interests. is was especially beneficial for our graduate students, who had an opportunity to dis- La théorie des jeux évolutionnaires s’intéresse aux dif- cuss mathematics with the speakers, especially those férents types d’interactions sociales dans des popu- whose books and articles they had been studying. lations de joueurs. Il s’agit d’un outil mathématique idéal pour ramener l’analyse des phénomènes sociaux 2nd Montréal – Toronto Workshop in à l’étude des actions individuelles. La dynamique d’un Number Theory jeu évolutionnaire combine le point de vue straté- April 9 – 10, 2011, Fields Inst. gique de la théorie des jeux (où des joueurs rationnels Sponsored by CICMA, the CRM, and the Fields Inst. prennent en compte les comportements stratégiques des autres joueurs) avec la dynamique de populations Organizers: (où les stratégies gagnantes sont observées plus fré- Eyal Goren (McGill), Stephen Kudla (Toronto) quemment). Speakers: L’objectif de ce cours était d’introduire les concepts Zavosh Amir-Khosravi (Toronto), Dylan Awell- fondamentaux des jeux évolutionnaires et de présenter Duval (McGill), Henri Darmon (McGill), Jayce Getz leurs applications courantes. Le cours a aussi fourni un (McGill), Eyal Goren, Fritz Hoermann (McGill), compte rendu des avancées récentes dans le domaine

34 G P des jeux évolutionnaires. Ross Cressman présenta une ing about topics suggested by the workshop speakers. introduction aux jeux évolutionnaires et donna un Overall the workshop was a smashing success. To concours sur les jeux à espaces de stratégies continus. Jo- clude we mention that the CRM is planning to publish sef Hoauer donna un cours sur la dynamique de la the proceedings of the conference, which should be a meilleure réponse et un autre sur la non-convergence. valuable addition to the literature. Jörgen Weibull donna deux cours sur la stabilité évolu- tionnaire. Bill Sandholm parla de la géométrie des jeux CanaDAM 2011 de populations et de la dynamique stochastique des 3rd Canadian Discrete and Algorithmic jeux évolutionnaires. Sylvain Sorin parla de la dyna- Mathematics Conference mique de la meilleure réponse et de dynamique adap- May 31 – June 3, Victoria tative globale et unilatérale. Finalement, Sabin Lessard Sponsored by the CRM, the Fields Inst., MITACS, PIMS, donna un cours sur l’évolution de la coopération dans the Canadian Mathematical Society, and the Victoria les populations finies et une présentation sur les avenues de recherche. Program Commiee: Nick Wormald (Waterloo, chair), Pavol Hell (Simon The Bellairs Workshop in Number Theory, Fraser), Nantel Bergeron (York), Jim Geelen (Water- 2011 loo), Valerie King (Victoria), Neal Koblitz (Washing- Tropical and Non-Archimedean Geometry ton), Karen Meagher (URegina), Janos Pach (EPFL & May 6-13, 2011, Bellairs Research Institute Rényi Inst.), Andrew Rechnitzer (UBC), Bruce Shep- Sponsored by CICMA herd (McGill), Angelika Steger (ETH Zürich), Carsten omassen (DTU), Sue Whitesides (Victoria), Avi Organizers: Wigderson (Princeton) Xander Faber (Georgia), Jayce Getz (McGill, head or- Executive Commiee: ganizer) Pavol Hell (Simon Fraser), Odile Marcoe (CRM & Principal speaker: Mahew Baker (Georgia Tech) UQAM), Ortrud Oellermann (Winnipeg, chair), David Other speakers: Pike (Memorial), Bruce Richter (Waterloo), Frank Antoine Chambert-Loir (Rennes 1), Fillip Cools (KU Ruskey (Victoria) Leuven), Antoine Ducros (UPMC), Diane Maclagan Local Arrangements Commiee: (Warwick), Sergey Norin (Princeton), Mihran Papikian Gary MacGillivray (Victoria, chair), Odile Marcoe, (Penn State), Joseph Rabinoff (Harvard), Amaury Peter Dukes (Victoria), Jing Huang (Victoria), Kieka uillier (Lyon 1), Filippo Viviani (Roma Tre) Mynhardt (Victoria), Jacobus Swarts (Vancouver Is- Number of participants: 33 land) Plenary Speakers: e workshop was aimed at explaining connections Anne Bergeron (UQAM), Sara Billey (Washington), Al- between non-Archimedean geometry, especially the lan Borodin (Toronto), Chandra Chekuri (UIUC), Jacob study of Berkovich spaces, and tropical geometry. Its Fox (MIT), Jeff Kahn (Rutgers), Alice Silverberg (UC main motivation was the presentation of a recent pa- Irvine), Stéphan omassé (Montpellier 2) per of Baker, Payne, and Rabinoff that has gone a long Number of participants: 307 way towards elucidating this connection. e principal speaker, Mahew Baker, handled the scientific is conference was part of the CanaDAM series, organization of the conference and asked the other which consists of conferences on discrete and algorith- speakers to talk on specific topics that either motivated mic mathematics held every two years (in odd years). or complemented his lectures. We heard only positive In principle a CanaDAM conference is held in West- comments on the lectures, and the participants were ern Canada if the previous one was held in Eastern especially happy about the expository nature of the Canada (and vice versa). e CanaDAM series was cre- material, which ensured that everyone at the confer- ated by Derek Corneil, Daniel Panario, and Pavol Hell, ence could follow, in spite of the diversity of the par- who were helped by researchers in discrete mathemat- ticipants’ mathematical backgrounds. In addition, de- ics from all Canadian regions (see http://canadam. spite the wonderful weather and the many distractions math.ca). e format of CanaDAM is similar to that Barbados offers, the participants were constantly talk- of the SIAM Conferences on Discrete Mathematics,

35 C    which are held in even years. CanaDAM enjoys an • Counting Points on Elliptic Curves, from Gauss to the excellent international reputation and is considered a Present (A. Silverberg). first-rate conference in discrete mathematics. • Applications of VC Dimension for Graphs and Hyper- e scientific program of CanaDAM 2011 consisted of graphs (S. omassé). 8 plenary lectures, 39 invited minisymposia talks, 117 In addition to these plenary talks there was a well- contributed minisymposia talks, and 72 contributed received one-hour popular lecture on the mathemat- talks. e titles of the plenary lectures are given below. ics of Origami given by Joseph O’Rourke (from Smith • e Combinatorial Beauty of Genome Evolution College). is lecture was preceded by a reception (A. Bergeron). hosted in part by Elsevier. e 307 persons who par- • An Introduction to k-Schur Functions and QSYM ticipated in CanaDAM 2011 came from 19 countries, (S. Billey). and 129 of the registered participants (i.e., more than • When is it Good to be Greedy (in Algorithm Design)? 40% of participants) were graduate students or post- (A Borodin). doctoral fellows. In order to receive financial support • Submodular Set Function Maximization via the Multi- graduate students were encouraged to contribute talks. linear Relaxation and Dependent Randomized Round- e organizers are very grateful to the three Cana- ing (C. Chekuri). dian institutes (CRM, Fields, and PIMS) and to MITACS • Intersection Graphs, Drawings, Posets, and Separators for their financial support, which enabled many grad- (J. Fox). uate students and postdoctoral fellows to aend the • resholds and Expectation resholds (J. Kahn). conference.

Colloquium Series

e CRM, together with the Institut des sciences mathématiques du ébec (the ébec universities graduate mathematics consortium), runs two Montréal colloquium series, one in mathematics and the other in statistics (the laer jointly with GERAD, an operations research centre located in the André-Aisenstadt building). During the academic year, these series oﬀer survey talks on topics of current interest by distinguished mathematicians and statisticians.

CRM – ISM Mathematics Colloquium

In 2010 – 2011 the colloquium coordinators were Rustum Choksi and Jayce Getz, both from McGill University.

September 17, 2010 October 22, 2010 Jean-Pierre Aubin (Paris-Dauphine) Claude LeBris (ÉNPC) Régulation d’évolutions « viables » dans un environne- Stochastic Homogenization and Related Problems ment en avenir incertain October 29, 2010 September 24, 2010 Mathieu Lewin (Cergy-Pontoise) Björn Sandstede (Brown) e ermodynamic Limit of Coulomb antum Sys- Pointwise Estimates and Nonlinear Stability of Waves tems October 1st, 2010 November 19, 2010 Eliot Fried (McGill) Bruce Berndt (UIUC) Some Features and Challenges of the Navier – Stokes- Ramanujan Reaches his Hand from his Grave and alpha-beta Equation Snatches your eorems from You October 8, 2010 November 26, 2010 Manjul Bhargava (Princeton) Adrian Lewis (Cornell) e Average Rank of Elliptic Curves Semi-algebraic Optimization eory

36 G P

January 14, 2011 March 18, 2011 Gilles Francfort (Paris 13) Tatiana Toro (Washington) Revisiting Fracture Mechanics — e Variational Stand- Geometry of Measures point March 25, 2011 January 28, 2011 Leonid Polterovich (Chicago) Alejandro Ádem (UBC & PIMS) Function eory on Symplectic Manifolds Homotopy eory and Spaces of Representations April 1st, 2011 February 4, 2011 Joseph Silverman (Brown) Matilde Lalín (Montréal) Number eory and Dynamical Systems: A Survey Mahler Measure as Special Values of L-functions April 15, 2011 February 11, 2011 Morley Davidson (Kent State) Richard Schwartz (Brown) Rubik’s Cube in Twenty Moves or Less e 5-Electron Case of ompson’s Problem May 6, 2011 March 4, 2011 Dusa McDuﬀ (Barnard Coll. & Columbia) Dan Stroock (MIT) Embedding estions in Symplectic Geometry Some Random oughts about Cauchy’s Functional June 10, 2011 Equation Claude Viterbo (École Polytechnique) March 11, 2011 Symplectic Homogenization Irene Fonseca (Carnegie Mellon) Variational Methods in Materials and Imaging

CRM – ISM – GERAD Statistics Colloquium

In 2010 – 2011 the organizing team of the Statistics Colloquium included Geneviève Lefebvre (UQAM), Mylène Bédard (Montréal), Lea Popovic (Concordia), and Russell Steele (McGill).

September 24, 2010 November 12, 2010 Alexandra M. Schmidt (UFRJ) Ji Zhu (Michigan) Modelling Multivariate Counts Varying Continuously in Extracting Communities from Networks Space November 19, 2010 October 1st, 2010 Marc Hallin (ULB & Princeton) Vahid Partovi Nia (McGill) Local Bilinear Multiple-Output antile Regression: A Stopping Rule for MCMC Clustering From L1 Optimization to Regression Depth October 8, 2010 November 26, 2010 Elif F. Acar (McGill) Louis-Paul Rivest (Laval) Nonparametric Estimation and Inference for the Copula Modèles de capture-recapture avec applications en épidé- Parameter in Conditional Copulas miologie October 15, 2010 January 21, 2011 Paul Jenkins (UC Berkeley) Marco Carone (Johns Hopkins & UC Berkeley) A New Approach to Computing Sampling Probabilities e Statistical Analysis of Cross-Sectional Survival Data in Population Genetics Models with Recombination with Applications for the Study of Dementia October 29, 2010 January 28, 2011 Ahad Jamalizadeh (Shahid Bahonar) Jean-François essy (UQTR) Skew-Elliptical Distributions and their Relationship with Testing for Bivariate Extreme-Value Dependence Order Statistics February 4, 2011 November 5, 2010 Peter X. K. Song (Michigan) Hanna Jankowski (York) Composite Joint Estimating Functions and Applications On the Grenander Estimator at Zero in Spatio-temporal Models

37 C   

February 11, 2011 Combining Forward Selection and Shrinkage Techniques Sanjib Basu (Northern Illinois) for Variable Selection in Regression and Classification A Unified Competing Risks Cure Rate Model with Appli- March 25, 2011 cations to Cancer Survival Data Mark van der Laan (UC Berkeley) February 18, 2011 Targeted Maximum Likelihood Estimation: Assessing Noureddine El Karoui (UC Berkeley) Effects in RCT and Observational Studies Some Remarks on Random Matrix eory and its Appli- April 1st, 2011 cations to Multivariate Statistics Renming Song (UIUC) March 4, 2011 Sharp Estimates on the Heat Kernels and Green Func- Lajos Horváth (Utah) tions of Subordinate Brownian Motions in Smooth Do- Limit eorems of Functional Data Analysis with Some mains Applications April 8, 2011 March 11, 2011 Yutaka Yasui (Alberta) Brani Vidakovic (Georgia Tech & Emory) Applying Statistical Principles in Large-Scale Biological Wavelet-based 2-D Spectra and Applications Data Analysis: Why Is It Rare and What Should We Do March 18, 2011 about It? Subhashis Ghosal (NC State)

38 Multidisciplinary and Industrial Program C   

 main vehicles for the CRM’s eﬀorts in this area are the research networks to which it belongs, principally T MITACS, a national network focusing on the mathematics of information technology and complex systems, and the National Institute on Complex Data Structures (NICDS). In 2010-2011 the CRM initiated the Climate Change and Sustainability Program in partnership with the North American Mathematics Institutes (see the Fall 2010 issue of the Bulletin du CRM). e reports are presented in the language in which they were submied.

Activities of the Climate Change and Sustainability Program

is program is distinct from the thematic, general, and multidisciplinary programs, but two of its workshops were also part of the thematic program on statistics, i.e., the Workshop on Statistical Methods for Meteorology and Climate Change and the Workshop on Statistical Issues in Forest Management. e reports on these workshops are included in the section ematic Program. e reader will ﬁnd below the reports on the three other workshops in the Climate Change and Sustainability Program.

Course Organizers: Micromacroscopic Systems: A Viability Michèle Breton (HEC Montréal), Odile Marcoe (CRM Approach & UQAM), Christiane Rousseau (Montréal), Georges September 20 – 24, 2010, CRM Zaccour (HEC Montréal) Sponsored by GERAD and the MITACS network Invited Speakers: Ce cours fut donné par le professeur Jean-Pierre Au- Jean-Pierre Aubin (Paris-Dauphine), Graciela Chichil- bin, de l’Université Paris-Dauphine. Les chercheurs nisky (Columbia), Alain Haurie (ORDECSYS), Gerhard travaillant en théorie de la viabilité conçoivent et dé- Sorger (Wien) veloppent des algorithmes pour étudier l’adaptation à Other Speakers: des contraintes de viabilité d’évolutions (pas forcément Olivier Bahn (HEC Montréal), Michèle Breton, Robert déterministes) provenant de systèmes complexes avec Cairns (McGill), Pablo Andrés Domenech (HEC Mont- incertitude. La théorie de la viabilité peut prendre en réal), Jacek B. Krawczyk (VUW), Denis Lavigne (CMR compte des évolutions diverses, incluant celles qui pro- Saint-Jean), Ngo Van Long (McGill), Jesús Marín- viennent des équations différentielles ordinaires et des Solano (Barcelona), Vincent Martinet (INRA), Robeny systèmes de commande. Le cours du professeur Au- Bruno Nkuiya Mbakop (Montréal), Emmanuel Pra- bin porta sur les aspects théoriques et algorithmiques dos (INRIA Grenoble), Patrick Saint-Pierre (Paris- de cee théorie. Les objets fondamentaux de la théo- Dauphine & VIMADES), Troy Savage (Yale) rie de la viabilité sont des ensembles. Parmi les no- Number of participants: 31 tions fondamentales de cee théorie, mentionnons les Les objectifs de cet atelier étaient de réunir des ex- noyaux de viabilité et les bassins de capture. La no- perts de différentes disciplines afin de présenter les tion de bassin de capture est fort utile lorsqu’il y a plus récentes avancées en modélisation du développe- un but à aeindre. On étudie les propriétés topolo- ment durable des points de vue climatique, environne- giques de ces ensembles sous l’hypothèse que les sys- mental, social et économique. Les contributions étaient tèmes évolutionnaires sont semi-compacts supérieure- théoriques ou appliquées et portaient sur des outils ment ou semi-continus inférieurement. Le professeur et des méthodes d’analyse de décision (par exemple Aubin accorda une importance particulière aux appli- l’optimisation, la recherche opérationnelle, la théorie cations à la finance et aux systèmes dynamiques. des jeux, les systèmes dynamiques ou l’analyse de Workshop risque). Dans sa conférence invitée, Jean-Pierre Au- Decision Analysis and Sustainable bin présenta une méthode dynamique pour affecter les Development droits d’émission de substances polluantes. Graciela Chichilnisky introduisit les fondations des probabili- September 27 – 28, 2010, CRM tés et statistiques comportant des cygnes noirs (c’est- Sponsored by GERAD, the CRM, the MITACS network, à-dire des évènements très rares pouvant entraîner des ncm₂, and the Chair in Game eory and Management risques catastrophiques). Alain Haurie présenta une (HEC Montréal) analyse basée sur la théorie des jeux pour décrire les

40 M  I P mécanismes internationaux d’échanges d’émissions Workshop on Mathematical Challenges for (incluant tous les aspects bancaires et les emprunts). Sustainability Gerhard Sorger parla des implications de l’équité inter- November 15 – 17, 2010, DIMACS, Rutgers générationnelle pour l’étude des quasi-ordres des flux Sponsored by the CRM, DIMACS, IPAM, NIMBioS, infinis d’utilité satisfaisant les axiomes forts de Pareto. PIMS, and SAMSI L’atelier fut immédiatement suivi d’une table ronde, décrite ci-dessous. Organizers: Alejandro Ádem (PIMS), Russell Caflisch (IPAM), Lou Panel Gross (NIMBioS), Iain Johnston (président, MPSAC, Sustainable Development and the NSF), Simon Levin (co-author of Toward a Science of Contribution of Scientists Sustainability), Fred Roberts (DIMACS), Christiane September 28, 2010, CRM Rousseau (Montréal), Richard Smith (SAMSI) Sponsored by ncm₂ is workshop, sponsored by four American insti- Organizer: Christiane Rousseau (Montréal) tutes and two Canadian ones, was part of the Climate Panelists: Change and Sustainability Program and a broader pro- Jean-Pierre Aubin (Paris-Dauphine), Graciela Chichil- gram called Mathematics of Planet Earth. ese two nisky (Columbia), Jean-Pierre Blanchet (UQAM) programs were proposed and initiated by Christiane Moderator: Sophie-Andrée Blondin (Radio-Canada) Rousseau. e CRM was represented at the workshop by two of its members, Christiane Rousseau La table ronde aborda le rôle des scientifiques, et herself and Jacques Bélair (from the Université de plus particulièrement celui des mathématiciens, dans Montréal). e organizers of the workshop had cho- les questions reliées au développement durable. Les sen five themes, each of which was studied during panélistes décrivirent l’arrimage de leur recherche the workshop by a subgroup of participants. e re- à leur intérêt pour le développement durable, envi- sulting white papers have been published in a report sagé sous ses aspects climatique, environnemental, by the American Mathematical Society (see http: social et économique. Le lecteur trouvera un article //dimacs.rutgers.edu/SustainabilityReport). sur cee table ronde dans le Bulletin du CRM de l’automne 2010 (à l’adresse http://www.crm.math. ca/rapports/bulletin/bulletin16-2.pdf).

Activities of the Multidisciplinary and Industrial Program

Workshop de leur immense quantité d’informations, elles posent Missing Data Approaches in the Health and des défis aux analystes de données quand la fiche d’un Social Sciences: A Modern Survey sujet contient de l’information incomplète ou man- October 22, 2010, UQAM quante. Il existe un grand clivage entre la commu- Sponsored by the Statistics Laboratory nauté de recherche statistique et la communauté de recherche non-statistique en ce qui concerne les mé- Organizers: thodes utilisées pour l’analyse de ces données. Bien Geneviève Lefebvre (UQAM), Russell Steele (McGill) que les statisticiens aient conçu des méthodes statis- Speakers: tiquement correctes et efficaces, plusieurs de ces ap- James Carpenter (LSHTM), Ofer Harel (Connecticut), proches ne sont pas répandues dans la communauté David Haziza (Montréal), Michael Regier (McGill), générale. Les statisticiens ont proposé deux types dif- Grace Yi (Waterloo) férents d’approches : l’imputation des données man- Number of participants: 70 quantes et les méthodes de pondération. Ces deux Une grande partie de la recherche moderne en mé- types d’approches ont des avantages et des inconvé- decine et en sciences sociales nécessite l’analyse de nients, mais ils n’ont pas souvent été abordés ensemble grandes bases de données. Bien que de telles bases dans des publications de recherche. Les désaccords de données soient extrêmement précieuses en raison au sein de la communauté statistique ont mené à de

41 C    la confusion lors de l’utilisation de ces méthodes, et emática Mexicana (SMM), SIAM, Conacyt, and the Red même les statisticiens appliqués se demandent quelles de Modelos Matemáticos y Computacionales sont les approches correctes et pratiques pour les pro- Steering Commiee: blèmes complexes de données manquantes. Gilberto Savillo (UNAM), Isidore Gitler (Cinvestav), Cet atelier inclut cinq présentations qui couvrirent les Pedro González-Casanova (UNAM), L. Héctor Juárez approches les plus répandues pour l’analyse de don- (UAM Iztapalapa), Uri Ascher (UBC), Barbara Key- nées manquantes dans les sciences médicales et so- fitz (Ohio State), Michael Mackey (McGill), Robert D. ciales. Grace Yi est la récipiendaire du prix CRM-SSC Russell (Simon Fraser), Margaret Cheney (Rensselaer), 2010 et a contribué de manière significative au déve- Steve Cox (Rice), Jim Crowley (SIAM), Juan Meza loppement des méthodes statistiques pour les études (Berkeley Lab.), Victor Pereyra (Weidlinger Assoc.) longitudinales et pour l’analyse des données de survie, Scientific Commiee: particulièrement pour le traitement des observations Carlos Coello (Cinvestav), David Romero (UNAM), Uri manquantes et les erreurs de mesure. James Carpenter Ascher, Robert D. Russell, Juan Meza, Victor Pereyra a réalisé un travail extrêmement important, non seule- Local Arrangements Commiee: ment en statistique, mais également dans le secteur de Victor Ibarra (ESFM-IPN), José Antonio Muñoz Gómez la santé publique au Royaume-Uni, en démystifiant des (Guadalajara), Edgar Possani (ITAM), Abel R. Var- méthodes statistiques avancées pour les données man- gas López (UMAR), Yolanda Olvera (UMAR), Martín quantes. Il est notamment coauteur d’un rapport du Zuñiga (UMAR) National Institute for Health Research au Royaume- Minisymposia Speakers: Uni sur l’analyse de données manquantes dans les es- V. V. Alexandrov (BUAP), Uri Ascher, Pablo Barrera- sais cliniques randomisés. Ofer Harel est un expert Sanchez (UNAM), Olivier Barrière (Montréal), Ju- en méthodes d’imputation multiple pour les données lian T. Becerra-Sagredo (EPFL & UNAM), Mogens manquantes et les erreurs de mesure et a un grand in- Bladt (UNAM), Gerard Brunick (UT Austin), Gilberto térêt pour les applications à la médecine. Deux cher- Calvillo (UNAM), Marcos A. Capistrán (CIMAT), Jose cheurs de Montréal firent également des présentations Castillo (San Diego State), Xiao-Wen Chang (McGill), pendant l’atelier. David Haziza travaille sur les don- M. Chávez (UNAM), Daniel Coombs (UBC), Luis nées manquantes dans les analyses d’enquêtes et Mi- Miguel de la Cruz Salas (UNAM), Alejandro De los chael Regier sur des méthodes de maximum de vrai- Santos (Banco de México), Eric De Sturler (Virginia semblance pour les observations manquantes. Tech), Gerda De Vries (Alberta), Carlos Díaz Avalos (UNAM), Eusebius Doedel (Concordia), Tony Drum- Voici les titres des cinq conférences. mond (Berkeley Lab.), Mark Embree (Rice), Anto- • Imputation calée robuste dans les enquêtes (D. Haziza) nio Flores (Iberoamericana), A. Fraguela (BUAP), Eliot • Données manquantes : questions, méthodes et exem- Fried (McGill), Omar Ghaas (UT Austin), Roland ples (J. Carpenter) Glowinski (Houston), Martin Golubitsky (Ohio State), • Inférences sur l’information manquante sous l’imputa- Susana Gómez (UNAM), José Luís González Velarde tion multiple et l’imputation multiple en deux étapes (Tecnológico de Monterrey), Alexandre Grebennikov (O. Harel) (BUAP), Chen Greif (UBC), Boyce Griffith (NYU), • Une approche paramétrique générale pour les modèles Chun-Hua Guo (Regina), Robert D. Guy (UC Davis), linéaires généralisés avec des structures de données in- Eldad Haber (UBC), Meng Han (Toronto), Mar- complètes complexes (M. Regier) tin B. Haugh (Columbia), Onésimo Hernández (Cin- • Analyse de données incomplètes : quelques questions vestav), Diego Hernández Rangel (ITAM), Marco Arieli et méthodes (G. Yi) Herrera-Valdez (Arizona State), Huaxiong Huang Conference (York), Tom Hurd (McMaster), Nicholas Kevlahan First North American Meeting on Industrial (McMaster), Drew Kouri (Rice), Michael P. Lam- and Applied Mathematics (NAMIAM10) oureux (Calgary), Juan Carlos Leyva López (Occi- dente Culiacán), Humberto Madrid (UA Coahuila), December 7 – 10, 2010, Universidad del Mar, Huatulco Patrice Marcoe (Montréal), Susan Margulies (Rice), (Mexico) Oumar Mbodji (McMaster), David McDonald (Ot- Sponsored by the CRM, the Fields Institute, the MI- tawa), Ramsés H. Mena (UNAM), Rafael Mendoza- TACS network, PIMS, CAIMS, the Sociedad Math- Arriaga (UT Austin), Stephen J. Merrill (Marquee),

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Michael Minion (UNC — Chapel Hill), Miguel Ángel organizers, largely to highlight research strengths in Moreles (CIMAT), Fahima Nekka (Montréal), Monika Mexico). Additional topics were discussed in the gen- Nitsche (New Mexico), Daniel Olmos Liceaga (Sonora), eral session and the poster session. For all minisym- Pablo Padilla (Complutense), Victor Pereyra, Fran- posia on the chosen topics, the talks were by invi- cis Poulin (Waterloo), Maurice eyranne (UBC), Ed- tation. We refer the reader to the meeting website uardo Ramos (UNAM), Juan M. Restrepo (Arizona), (http://www.smm.org.mx/namiam10/). Vicente Rico-Ramírez (IT Celaya), Roger Z. Ríos- e meeting began with welcoming remarks from rep- Mercado (UA Nuevo León), Yasmín A. Ríos Solís (UA resentatives of the three participating countries (in the Nuevo León), Marianito R. Rodrigo (ITAM), Eliane R. Canadian case, Michael Mackey), aer which people Rodrígues (UNAM), Steve Ruuth (Simon Fraser), Pa- were feted by our hosts at an outdoor reception on tricia Saavedra (UAM Iztapalapa), omas S. Salisbury the beautiful university campus. e opening talk (on (York), Moisés Santillán (Cinvestav), Gilles Savard Separable Least Squares) was given by Victor Pereyra. (Polytechnique Montréal), Volker Schulz (Trier), Luis e other scheduled invited talks were from Canadi- Seco (Toronto), Michael Siegel (New Jersey IT), John ans Mary Pugh (on Fluids) and Eldad Haber (on Inverse Stockie (Simon Fraser), Bruce R. Sutherland (Alberta), Problems), Mexicans Onésimo Hernández (on Applied Daniel B. Szyld (Temple), Brenda Tapia Santos (Ver- Probability) and Gilberto Calvillo (on Financial Math- acruzana), Jose-Gerardo Tinoco-Ruiz (UMSNH), Eka- ematics), and Americans Roland Glowinski (on PDEs) terina Todorova Kolkovska (CIMAT), Erick Treviño- and Gunther Uhlmann (on Inverse Problems). Mary Aguilar (Guanajuato), Gunther Uhlmann (Washing- Pugh was at the last minute unable to aend, and Bar- ton), Kees van den Doel (UBC), Luis Verde-Star bara Keyfitz kindly filled in and spoke about some of (UAM Iztapalapa), Karen Willcox (MIT), Hao Xing her own work on PDEs. ese invited talks were well (LSE), Ruriko Yoshida (Kentucky), Ana Cecilia Zenteno aended and of a very high standard. (Columbia) ere were two special sessions, one in which John In August, 2008, officials from the Mexican Mathemat- Stockie gave an animated presentation on industrial ical Society (SMM) expressed interest in organizing a mathematics and the Canadian experience through joint SMM/CAIMS/SIAM meeting in Mexico in 2010. MITACS. It was met with great interest from the par- As a result, Professor Bob Russell was approached by ticipants, particularly the Mexicans. e other session Alejandro Ádem and in turn approached the CAIMS brought together a panel of individuals from each of Board in early Fall about the proposed meeting. e the three countries who discussed opportunities in ap- CAIMS Board gave unanimous approval to proceed plied mathematics from a general perspective. As one with plans for the meeting. A Steering Commiee was colleague pointed out, it was intriguing to note that struck, with equal representation from each of the 3 Mexican applied mathematicians and statisticians suf- participating countries. e Canadian representatives fer from the same constraints as those in Canada. Since were Uri Ascher, Barbara Keyfitz, Michael Mackey, the Mexican economy is to some extent a branch plant and Robert D. Russell. e result of this Steering Com- economy, the local industry tends to look to the United miee’s planning was the First North American Meet- States for research and development, and in spite of the ing on Industrial and Applied Mathematics. e fol- favourable treatment of mathematicians and statisti- lowing description is based on a report by Professor cians under the free trade agreement, it is still hard to Bob Russell. overcome this prejudice. e primary intention of the meeting was to bring ere was a clear consensus that the minisymposia together applied computational scientists, mathemati- were of very high quality. ey were organized in cians, researchers, and students with interdisciplinary parallel streams, which oen made it difficult for the interests, from Canada, the United States, and Mex- participants to have much time for discussions; nev- ico. Among the purposes of the meeting was the en- ertheless, it was possible to aend several minisym- hancement and strengthening of academic relations posia. One colleague having aended the sessions between the three countries with respect to applied in CFD, Numerical Analysis, and Mathematical Biol- and industrial mathematics. e meeting was orga- ogy commented that while covering a prey broad nized around eight minisymposia on research topics range of topics, the minisymposia still focused on a in applied mathematical fields (chosen by the local couple of specific areas, which kept them interesting.

43 C   

Here is a list of the minisymposia and their Canadian value since it offered a chance to learn about the work organizers (each minisymposium also had an SMM of previously unfamiliar Mexican colleagues and about organizer and a SIAM organizer): Optimization and the recent work of U.S. colleagues. In the minisympo- Operations Research (Patrice Marcoe); Inverse Prob- sium on applied probability and statistics, the presen- lems and Control (Uri Ascher); Oil, Weather and Geo- tations by Mexican researchers were of a high level. science Modelling (Nicholas Kevlahan); Biomathemat- ey included a presentation on the construction of a ics (Michael Mackey); Applied Probability and Statistics continuous-parameter sequence of random probability (David McDonald); Financial Mathematics and Econ- measures and its application in continuous-time non- omy (Tom Salisbury); Computational Fluid Dynamics parametric modelling; a presentation concerned with (John Stockie); Numerical Analysis and Linear Algebra the goal of reducing the number of pollution alerts (Chen Greif and Robert D. Russell). in the whole of Mexico City when the excess levels ere were cancellations of talks by some lectur- were concentrated in specific problem areas; and a pre- ers in certain minisymposia (in part because of the sentation on a spatio-temporal model for lightning- bankruptcy of the main Mexican airline…). In spite caused forest fire ignitions. e talk by Mogens Bladt of this, the talks given in the optimization and opera- on classical phase-time distributions and the extension tions research minisymposium were of very high qual- to heavy-tailed distributions was particularly clear and ity and those in aendance commented that the min- interesting. isymposium was a thoroughly enjoyable one. In the e minisymposium on financial mathematics and minisymposium on inverse problems and control, U. economy featured 12 talks. e audience was lively Ascher reported that some excellent talks were given, and engaged the speakers in discussion. Despite some including those by K. van den Doel and O. Ghaas, cancellations, there were four speakers from Canada: and that he had very fruitful discussions with those two professors (T. Hurd and T. Salisbury) and two stu- speakers as well as with N. Kevlahan, S. Gómez, and dents (Meng Han and O. Mbodji). In the minisym- V. Pereyra. posium on computational fluid dynamics, there were In the minisymposium on oil, weather, and geo-science two speakers from Canada (F. Poulin and J. Stockie). modelling, N. Kevlahan spoke about a new dynami- F. Poulin’s presentation described an application of cally adaptive wavelet method being developed for the spectral methods in the simulation of shear flows in dynamical core of the next generation of climate mod- the atmosphere to the study of the nonlinear stabil- els, and Francis Poulin gave a talk on the three-di- ity of vortical structures. J. Stockie presented a porous mensionalization of a barotropic instability in ocean medium model for sap flow in trees, along with numer- flows. e Mexican participants concentrated on the ical simulations that are used to assist the Canadian geo-science part of the minisymposium, and it was in- maple syrup industry in developing optimal harvest- teresting to see the strengths of Mexican applied math- ing methods. Other talks in the CFD minisymposium ematics in modelling earthquakes and oil reservoirs. focused on immersed boundary simulations for fluid- M. Moreles presented a problem related to porous structure interaction, algorithms for interfacial flows, medium diffusion in oil well reservoirs, M. Chávez flow in porous media, and parallel algorithms. showed impressive supercomputer 3-D simulations of e themes of the minisymposium on numerical anal- earthquakes, and S. Gómez showed how optimization ysis and linear algebra were centred around recent techniques can be used to characterize the structure developments in numerical analysis, scientific com- of fractured oil reserves. e two U.S. participants puting, and numerical linear algebra. It included 14 were J. Castillo, who described a new general curvi- talks, presented in 5 sessions spanning the course of linear coastal ocean model, and T. Drummond, who two days. e sessions were very well aended and presented new soware tools for geophysical applica- the talks featured a remarkably diverse range of top- tions. ics, from numerical linear algebra, to various flavours For the biomathematics minisymposium, M. Mackey of the numerical solution of differential equations, to reported that the Canadian contingent (consisting of challenging applications. Each session featured speak- D. Coombs, G. De Vries, and O. Barrière) provided ers from each of the three participating countries and three extremely interesting lectures about quite di- the sessions were scheduled to ensure that there was verse areas. e minisymposium was of particular a high level of diversity in each of the individual ses-

44 M  I P sions, which contributed to the good aendance level. en finance, mortalité, modélisation statistique et tarifi- In summary there was a consensus that the meeting cation de produits, allocation de capital, et crédibilité. had been a great success and that it would be worth- Les chercheurs participants représentaient un échan- while to hold similar meetings in the future. tillon assez varié de chercheurs travaillant sur les aspects pratiques ou théoriques des mathématiques ac- 1st ébec – Ontario Workshop on tuarielles. Insurance Mathematics L’ambiance décontractée et le nombre raisonnable de January 28, 2011, UQAM participants ont encouragé les étudiants à participer Sponsored by the Statistics Laboratory, the CRM, the davantage aux échanges et leur a permis de rencontrer ISM, UQAM, and the MITACS network des chercheurs reconnus ainsi que d’autres étudiants, Organizers: en particulier pendant le déjeuner (à midi). Un moment Andrei L. Badescu (Toronto), David Landriault (Wa- émouvant a eu lieu juste avant la pause-café de l’après- terloo), Manuel Morales (Montréal), Jean-François Re- midi. Le comité organisateur a décidé de rendre hom- naud (UQAM) mage à un doctorant de l’Université Laval décédé tra- Speakers: giquement en décembre dernier. Florent Toureille était Jean-Philippe Boucher (UQAM), Arthur Charpen- sur le point de terminer sa thèse de doctorat sous la tier (Rennes 1), Edward Furman (York), Lan Gong direction de notre collègue Hélène Cossee et il était (Toronto), Cody Hyndman (Concordia), Joseph Kim censé participer à l’atelier. Nous avons voulu qu’il soit (Waterloo), Ghislain Léveillé (Laval), Romuald Hervé présent symboliquement. Hélène Cossee a prononcé Momeya Ouabo (Montréal), David Stanford (Western quelques mots qui ont permis à tous de connaître un Ontario), Gordon E. Willmot (Waterloo), Amin Hassan peu qui était Florent. Juste après ces quelques mots, Zadeh (Western Ontario) l’auditoire a observé une minute de silence en l’hon- Number of participants: 63 neur de Florent, suivie d’une minute d’applaudisse- ments en soutien de sa veuve qui était dans la salle. Le but de cet atelier était d’établir un point de ren- Cee parenthèse dans la journée a donné une dimen- contre pour les chercheurs et les étudiants de l’Est ca- sion plus humaine à l’atelier. nadien. En effet, la communauté de recherche en ma- thématiques actuarielles a rarement l’occasion de se Voici les titres des conférences données pendant l’ate- réunir au Canada, ce qui limite les interactions entre lier. des groupes qui sont géographiquement proches. No- • Past and Present Trends in Aggregate Claims Analysis tez que des 63 participants, 30 étaient des étudiants ou (G. Willmot) stagiaires postdoctoraux. • Evaluation of Participating Insurance Policies (C. Hyndman) L’atelier a été un franc succès et correspondu à nos • A Statistical Use of Discrete Data in Actuarial Sciences aentes et à celles des participants. La première ac- (J.-P. Boucher) tivité liée à l’atelier a eu lieu la veille sous la forme • Recursive Methods for Two-Dimensional Risk Pro- d’un cocktail de bienvenue pour les conférenciers in- cesses with Common Shocks (L. Gong) vités. La première journée de l’atelier proprement dit • On the CTE-based Risk Capital Allocation Rule for De- a commencé à 9h00 et consisté de deux sessions en pendent Risks (E. Furman) avant-midi et deux autres en après-midi. La conférence • One-year Uncertainty in Claims Reserving (A. Char- d’ouverture a été donnée par le professeur Gordon pentier) Willmot, un des chercheurs les plus reconnus au Ca- • e Use of Phase-Type Models for Disability Insurance nada en théorie de la ruine. Il représentait un des plus Calculations (A. Zadeh) grands programmes universitaires d’actuariat au Ca- • Moments and Joint Moments of Bivariate Discounted nada, celui de l’Université de Waterloo. L’atelier a aussi Compound Renewal Sums (G. Léveillé) bénéficié de la participation de chercheurs de toutes • Visualizing Risk Contribution, Performance, and Di- les grandes universités ontariennes et québécoises. Les versification in a Financial Conglomerate (J. Kim) conférences portaient sur différents problèmes à la fine • e Minimal Entropy Martingale Measure (MEMM) pointe des mathématiques de l’assurance. En particu- for a Markov-Modulated Exponential Lévy Model lier, mentionnons (entre autres) des problèmes divers (R. Momeya)

45 C   

• Credibility and Phase-Type Distributions (D. Stan- réal), Guillaume Lemire (Montréal), Sylvain Pannetier- ford) Lebeuf (Montréal), Catherine Paradis-errien (TD En conclusion, la petite communauté de chercheurs Assurance) et d’étudiants en mathématiques actuarielles de l’Est Number of participants: 35 canadien a pu se réunir pour la première fois afin Les étudiants constituaient la majorité des partici- d’échanger sur des sujets d’intérêt commun. Les pre- pants de cee journée, dont le but était d’établir un mières retombées de cee activité sont déjà visibles. point de rencontre pour les chercheurs industriels et En effet, les étudiants des cycles supérieurs ayant par- les étudiants en actuariat et statistique. Cee jour- ticipé à l’atelier ont pu se parler de leurs progrès et née de conférences a rassemblé non seulement les dif- expériences individuelles et ont aussi eu la possibi- férents partenaires et étudiants du projet Finsurance lité d’échanger avec des chercheurs plus expérimen- mais aussi des personnes s’intéressant à la pratique tés. Deux étudiants ont pu présenter leurs travaux à actuarielle et financière. Le projet Finsurance de MI- l’auditoire, ce qui leur a permis de profiter des com- TACS est un projet interuniversitaire de recherche en mentaires de l’auditoire (qu’ils pourront intégrer à mathématiques financières et actuarielles. Le projet est leurs thèses). Des retombées à plus long terme sont financé par MITACS et il rassemble quatre universi- aussi aendues. Nous souhaitons que cet atelier se tés canadiennes : l’Université de Montréal, la Univer- tienne chaque année et qu’il devienne le point de ren- sity of Toronto, la York University et la University of contre par excellence en mathématiques actuarielles Waterloo. Le projet Finsurance promeut des initiatives au Canada. Le groupe de l’Université de Toronto s’est pour que les étudiants approfondissent leur connais- d’ailleurs porté volontaire pour organiser la deuxième sance de la pratique actuarielle ayant lieu dans les mi- édition de cet atelier. lieux universitaires et industriels. Le lecteur désirant en savoir plus sur le projet Finsurance peut consulter MITACS Day on the Practice of Actuarial la page http://www.math.yorku.ca/finsurance/. Science (Finsurance Project) Le programme de la journée consistait de trois pré- March 16, 2011, DMS, Montréal sentations de 50 minutes chacune, faites par des prati- Sponsored by the Statistics Laboratory, the CRM, and ciens de l’actuariat, et de trois présentations de 30 mi- the MITACS network nutes chacune, faites par d’anciens stagiaires. Les pra- Organizers: ticiens ont parlé des défis qu’ils rencontrent et des ou- Jean-François Angers (Montréal), Manuel Morales tils mathématiques et statistiques qu’ils utilisent. Les (Montréal) anciens stagiaires ont parlé de leurs expériences res- Speakers: pectives au sein du projet. La journée a été un franc Clément Brunet (Cooperators), Nicolas Chapados (Ap- succès et a répondu aux aentes des organisateurs et STAT Technologies), Frédéric Godin (HEC Mont- des participants.

46 CRM Prizes C   

 CRM created and administers, either alone or jointly, four of the eight major national prizes in the mathe- T matical sciences, namely: the CRM – Fields – PIMS Prize, the Prize for eoretical Physics awarded in collaboration with the Canadian Association of Physicists (CAP), the Prize for young researchers in Statistics awarded jointly with the Statistical Society of Canada (SSC), and the CRM André-Aisenstadt Prize awarded to rising young Canadian stars, selected by the CRM’s Scientiﬁc Advisory Panel. e CRM has invested enormous time, eﬀort, and resources to propel leading Canadian scientists into the spotlight, helping them gain international recognition when they most need it.

CRM – Fields – PIMS Prize 2011 Awarded to Mark Lewis

Mark Lewis A report on the CRM – Fields – PIMS Prize lecture holds a Canada given by Professor Lewis may be found in Le Bulletin Research Chair du CRM (Fall 2011). in Mathemati- cal Biology and The CRM – Fields – PIMS Prize is the Director of the Centre is prize was established in 1994 as the CRM – Fields for Mathemat- Prize to recognize exceptional research in the math- ical Biology at ematical sciences. In 2005, PIMS became an equal Mark Lewis the University partner in the awarding of the prize and its name of Alberta. His research involves mathematical mod- was changed to the CRM – Fields – PIMS Prize. A elling of biological processes and is an example of the commiee appointed by the three institutes chooses best interplay of science and mathematics, where ideas the recipient. e previous recipients of the prize from each discipline lead to advances in the other. are H. S. M. (Donald) Coxeter (1995), George A. El- Mark Lewis’s work develops techniques in stochastic lio (1996), James Arthur (1997), Robert V. Moody processes, dynamical systems, and partial differential (1998), Stephen A. Cook (1999), Israel Michael Si- equations and has led to significant advances, for ex- gal (2000), William T. Tue (2001), John B. Friedlan- ample, in modelling territorial paern formation in der (2002), John McKay (2003), Edwin Perkins (2003), wolf populations, in predicting population spread in Donald A. Dawson (2004), David Boyd (2005), Nicole biological invasions like the West Nile virus, and in as- Tomczak-Jaegermann (2006), Joel S. Feldman (2007), sessing the effect of habitat fragmentation on species Allan Borodin (2008), Martin Barlow (2009), and Gor- survival. don Slade (2010).

André-Aisenstadt Prize 2011 Awarded to Joel Kamnitzer

Dr. Kamnitzer obtained his B.Sc. in Mathematics at the Zelevinsky to the theory University of Waterloo in 2001 and his Ph.D. at the of Mirkovic – Vilonen University of California, Berkeley in 2005, under the polytopes as introduced supervision of Allen Knutson. He held a prestigious by Anderson. In the pro- AIM Five-Year Fellowship as well as postdoctoral po- cess he elucidates a num- sitions at MIT, MSRI, and the University of California, ber of enigmatic features Berkeley. He has been a professor at the University of these important topics. of Toronto since 2008. Dr. Kamnitzer has made sub- A second impressive stantial and deep contributions to the ﬁeld of geomet- body of work is carried ric representation theory and related topics. We men- out mainly in collaboration here three of his more important contributions, tion with S. Cautis but Joel Kamnitzer on rather diﬀerent topics. In his thesis, recently pub- also with A. Licata. It has appeared in Inventiones lished in the Annals of Mathematics, he relates formu- Mathematicae and the Duke Mathematical Journal. lae developed in representation theory by Berenstein – is work is part of a program to pursue the cate-

48 CRM P gorification of Khovanov’s knot invariants. It sheds ented young Canadian mathematicians. is prize light on the potential categorification of the geomet- consists of a $3,000 award and a medal. e recipient is ric Satake equivalence and is also related to mirror chosen by the International Scientific Advisory Com- symmetry problems. Finally, together with P. Etingof, miee of the CRM. At the time of consideration, can- A. Henriques, and E. Rains (in a contribution recently didates must be Canadian citizens or permanent resi- published in the Annals of Mathematics), he has ex- dents of Canada, and no more than seven years from plored the algebraic topology of the real locus of the their Ph.D. moduli space of stable curves of genus 0 with marked e previous recipients of the André-Aisenstadt Prize points. In particular this article computes the rational are Niky Kamran (1992), Ian Putnam (1993), Michael cohomology of this space as well as the 2-local torsion Ward (1995), Nigel Higson (1995), Adrian S. Lewis in its cohomology. (1996), Lisa Jeffrey (1997), Henri Darmon (1997), An article of Joel Kamnitzer on his research work may Boris Khesin (1998), John Toth (1999), Changfeng Gui be found in Le Bulletin du CRM (Fall 2011). (2000), Eckhard Meinrenken (2001), Jinyi Chen (2002), Alexander Brudnyi (2003), Vinayak Vatsal (2004), Ravi The André-Aisenstadt Prize Vakil (2005), Iosif Polterovich (2006), Tai-Peng Tsai (2006), Alexander E. Holroyd (2007), Gregory G. Smith Created in 1991, the André-Aisenstadt Mathematics (2007), József Solymosi (2008), Jonathan Taylor (2008), Prize is intended to recognize and reward research Valentin Blomer (2009), and Omer Angel (2010). achievements in pure and applied mathematics by tal-

CAP – CRM Prize 2011 Awarded to Robert Brandenberger

Professor Branden- the many facets of theoretical cosmology, including berger (McGill Uni- several that have become classic references. With over versity) was awarded 200 published articles, Robert Brandenberger’s exten- the CAP – CRM Prize sive work straddles particle physics and astrophysics 2011 for his pioneer- and is consistently of very high quality. He is a cre- ing contributions in ative and prolific scientist and one of Canada’s most the area of theoreti- cited theoretical physicists. Professor Brandenberger’s cal cosmology, espe- work was also recognized by a Killam Research Fellow- cially the interplay of ship, a Canada Research Chair, and a Fellowship of the particle physics and American Physical Society. cosmology. He is one of the leading theo- The CAP – CRM Prize Robert Brandenberger retical cosmologists in the world and is well known for his contributions e Centre de recherches mathématiques (CRM) and to areas such as String Cosmology (a field where he the Canadian Association of Physicists (CAP) created is considered a founding father), cosmological fluctua- in 1995, on the occasion of the 50th anniversary of the tions, preheating, and trans-Planckian physics. Obser- CAP, a joint prize for recognizing exceptional achieve- vational and experimental cosmology has over the past ments in theoretical and mathematical physics. e years entered a “golden age,” because of an unprece- prize consists of a $2,000 award and a medal. dented data acquisition rate on the structure of our e previous recipients of the prize are Werner Is- Universe. Robert Brandenberger has remained at the rael (1995), William G. Unruh (1996), Ian Affleck forefront of this revolution and has in fact generated a (1997), J. Richard Bond (1998), David J. Rowe (1999), large portion of this excitement through his very own Gordon W. Semenoff (2000), André-Marie Tremblay research effort. It is remarkable that his theoretical (2001), Pavel Winternitz (2002), Mahew Choptuik work remains closely connected with the rapid pace (2003), Jiří Patera (2004), Robert Myers (2005), John of experimental developments. Robert Brandenberger Harnad (2006), Joel S. Feldman (2007), Richard Cleve has authored an abundance of authoritative articles on (2008), Hong Guo (2009), and Clifford Burgess (2010).

49 C   

CRM – SSC Prize 2011 Awarded to Edward Susko

Edward Andrew in 1992. His Ph.D. in Statistics was completed in 1996 Susko, Profes- at the University of Waterloo. His Ph.D. thesis won sor in the De- the Pierre-Robillard Award of the SSC in 1996. Ed- partment of ward Susko has continually produced research work Mathematics of the highest quality. In 2001 he received the Cana- and Statistics at dian Journal of Statistics Award from the SSC. More re- Dalhousie Uni- cently, he was nominated Fellow of the CIAR Program versity, is the in Evolutionary Biology (2005 – 2007). Edward Susko 2011 winner of credits much of his success to fruitful and enjoyable Edward Susko the CRM – SSC collaborations with Andrew Roger and other members Prize. Edward Susko has been at the forefront of the of the vibrant evolutionary bioinformatics community development of probabilistic and statistical methods at Dalhousie. across the fields of genetics and computational biology, A detailed description of the contributions of Professor and is recognized as an international leader. Alongside Susko may be found in Le Bulletin du CRM (Fall work published in the mainstream statistics literature, 2011). his articles have appeared in some of the most influential journals in the field (Proceedings of the National The CRM – SSC Prize Academy of Sciences, Molecular Biology and Evolution, Journal of eoretical Biology). His important contri- e SSC, founded in 1977, is dedicated to the promo- butions, highly cited and recognized as foundational tion of excellence in statistical research and practice. by world-leading experts, include work on statistical e prestigious CRM – SSC Prize, jointly sponsored by phylogenetics, comparative genomics, and molecular the SSC and the CRM, is given each year to a Canadian evolution. His recent results concerning the applica- statistician in recognition of outstanding contributions tion of the bootstrap to phylogenetics (where it is per- to the discipline during the recipient’s first 15 years af- haps the most widely used computational tool) and the ter earning a doctorate. development of theoretical results related to likelihood Edward Susko is the thirteenth recipient of the CRM – estimation have the potential of changing completely SSC Prize. e previous winners of the award are the way that molecular phylogenetics is practiced and Christian Genest (1999), Robert J. Tibshirani (2000), interpreted worldwide. Colleen D. Cutler (2001), Larry A. Wasserman (2002), A native of the Windsor area in Ontario, Edward Susko Charmaine B. Dean (2003), Randy Sier (2004), Jiahua earned a B.A. in Mathematics from the University of Chen (2005), Jeffrey Rosenthal (2006), Richard Cook Windsor in 1990. He then moved to the University of (2007), Paul Gustafson (2008), Hugh Chipman (2009), British Columbia where he earned a M.Sc. in Statistics and Grace Y. Yi (2010).

50 The CRM Outreach Program C   

 CRM is eager to fulﬁll the public’s desire for understanding the latest developments in the mathemat- T ical sciences. To this end, the CRM initiated in the spring of 2006 a series of lectures called the Grandes Conférences du CRM, which feature outstanding lecturers able to convey the beauty and power of mathematical research to a wide audience. e Grandes Conférences du CRM are now well established and there were three lectures geared towards a general audience in 2010 – 2011: a lecture by Professor Cédric Villani on November 5, 2010, a lecture by Professor Andrew Granville on March 29, 2011, and a lecture by Professor Doug Arnold on May 6, 2011. e three lectures took place at the Université de Montréal. e reader will ﬁnd summaries of these lectures below. Each Grande Conférence aracted hundreds of people of all ages, and was followed by a “vin d’honneur” that enabled the participants to ask questions, reconnect with friends and colleagues, and meet people interested in mathematics and science in general. In 2010 – 2011, the Grandes Conférences program was under the stewardship of Christiane Rousseau and Yvan Saint-Aubin, professors at the Département de mathématiques et de statistique of the Université de Montréal.

When the Earth Was Too Young for Darwin Cédric Villani (Institut Henri-Poincaré & Université Claude Bernard Lyon 1) by Christiane Rousseau (Université de Montréal)

Joseph Fourier. e lecturer introduced this equation and succeeded admirably in conveying to his audience the concepts of partial derivative and partial derivative of order 2. How does one use this equation? Joseph Fourier showed that one could compute its exact solution provided the following assumptions held: the Earth’s curvature is negligible; there is no heat source; the Earth is a solid uniform ball; the initial temperature is uniform; the surface temperature is uniform. Lord Kelvin decided to use this model for computing the age of the Earth. e mining industry enables one Cédric Villani to estimate the temperature gradient across the Earth’s crust. By making assumptions about the initial val- Cédric Villani’s lecture aracted a record audience, in- ues of conductivity and heat, Kelvin concluded that the cluding many college students. Its topic was the his- Earth was between 40 million and 200 million years tory of computations for determining the age of the old. is estimate was corroborated by Kelvin’s esti- Earth. Cédric Villani introduced the various protag- mate of the age of the Sun, based on an energy balance. onists in this field, beginning with James Usscher, an Anglican prelate, then going on to de Buffon and New- Cédric Villani then resumed his historical survey by ton, and focusing in the end on a period starting in describing the various controversies between physi- the middle of the 19th century. He introduced William cists (principally Lord Kelvin), geologists, and Darwin, omson, beer known as Lord Kelvin, the greatest the founder of the eory of evolution. A major scien- physicist of his time and a great inventor. Among tific crisis was the result of those controversies. Indeed other inventions let us mention Kelvin’s harmonic ana- Darwin’s theory required the age of the Earth to be at lyzer and Kelvin’s galvanometer. Kelvin’s work on the least 500 million years. Geologists had also reached age of the Earth lasted from 1862 to 1897. To evaluate the conclusion that the Earth had a much greater age the age of the Earth, he used the following argument: than that advanced by Kelvin. In front of an audience when the Earth was formed, it was a mass in fusion. glued to his words, Cédric Villani painted portraits of As time went on the Earth cooled and its crust became the scientists involved and gave detailed accounts of thicker. the controversies. In order to compute the time required for the observed e lecturer then returned to the heart of the maer, cooling, Lord Kelvin used the heat equation due to namely the true age of the Earth. He explained that

52 T CRM O P

Kelvin’s first error lay in not taking account of the the 1960s. e idea of continental dri was finally ac- convective movements with the Earth’s mantle. ese cepted in the 1960s. In 1904 the work of Rutherford re- movements, which take place continually within the vealed that another of Kelvin’s hypotheses was wrong, magma, bring the magma (which has a very high tem- namely the hypothesis that there is no heat source. perature) into contact with the Earth’s crust, which Indeed radioactive decay in the Earth’s mantle raises is cooling. is process slows down the formation of the temperature of the mantle. Rutherford’s compu- the crust and ensures that a steep temperature gradi- tations, which were based on radioactive decay but ig- ent persists across the crust. John Perry, a former as- nored convective movements, enabled him to conclude sistant of Kelvin, revised his computations by assum- that the age of the Earth was 4.6 billion years. ing that the Earth’s solid crust lay above a fluid mantle Cédric Villani’s lecture was dazzling and the audience of almost constant temperature (because of convective was mesmerized by it. At the end of the lecture, many movements). With those assumptions, the computa- young people approached him to ask questions and tions allowed him to conclude that the age of the Earth had their pictures taken with him. Cédric Villani is was between 2 and 3 billion years and to reconcile the known for his popularization of mathematics and pre- physicists’ estimation and that of geologists. sentations geared toward a broad audience may be Perry’s results were published in the journal Nature in found on his web site. We are very grateful to him for 1895 but were not well received. e proposal of a fluid having shared his passion for mathematics and science mantle was a revolutionary one during that period and with the Montréal public. most scientists believed that the Earth was solid until

MSI: Anatomy of Integers and Permutations Andrew Granville (Université de Montréal) by Benoit Larose (Champlain College Saint-Lambert & Concordia University)

became a professor at the University of Georgia and then, in 2002, at the Université de Montréal (where he holds a Canada Research Chair in Number eory). He was elected a Fellow of the Royal Society of Canada in 2006 and was awarded the Hasse Prize (1995), the Lester R. Ford Prize (2007), and the Chauvenet Prize (2008) of the Mathematical Association of America. Recently Andrew Granville wrote a play entitled MSI (Mathematical Science Investigation): Anatomy of Inte- gers and Permutations, in collaboration with his sister Jennifer Granville. is play is a mathematical and sci- entiﬁc “crime play” and it was presented at the Institue Andrew Granville for Advanced Study in Princeton. e play was con- On March 29, 2011, we had the pleasure to at- ceived during a Banﬀ Centre workshop aended by tend a Grande Conférence du CRM given by Andrew scientists and artists in 2004 and was also performed on Granville, from the Université de Montréal. Yvan April 29, 2011, at MSRI (Berkeley, California). A car- Saint-Aubin, one of the co-organizers of the Grandes toon version of the play, realized with Robert J. Lewis Conférences, reminded us of the highlights of Andrew (an illustrator from Toronto), will be published in 2013 Granville’s career. Born in England, Granville studied by Princeton University Press. e Grande Conférence at the University of Cambridge and then obtained his by Andrew Granville consisted of a presentation, in- Ph.D. from een’s University in Kingston, Ontario, tended for a broad audience, of the mathematical ideas where his advisor was Paolo Ribenboim. Aer spend- underlying his play. ing two years at the University of Toronto and the two In the play, two cadavers are discovered: that of Arnie following years at the Institute for Advanced Study, he Integer, a political candidate, and that of Daisy Per-

53 C    mutation, a ballerina. A team of medico-legal experts 2 × 3 × 5 × 7 × · · ·) have many prime factors. What is given the task of analyzing the bodies: Professor is then the distribution of the number of disjoint cycles Gauss and his assistants will dissect the integer and for permutations and the distribution of prime factors the permutation in order to determine their structure. for integers? In the case of permutations the number But what can an integer and a permutation have in of disjoint cycles follows a normal distribution with common? e fundamental theorem of arithmetic as- a mean and variance approximately equal to log N; serts that each integer can be decomposed in a unique the number of prime factors follows a normal distri- way as a product of prime numbers. One can think bution with a mean and variance approximately equal of this decomposition as the DNA of the integer. On to log log x (this last result is known as the Erdős – Kac the other hand, any permutation can be decomposed in theorem). disjoint cycles, and again the decomposition is essen- One may also ask about the length of cycles in the de- tially unique (and can be viewed as the DNA of the per- composition of a permutation or about the prime num- mutation). Are we witnessing an analogy or is there bers in the factorization of an integer. If we have log N something deeper to investigate? cycles whose lengths add up to N, what can we say In order to try to answer this question, one must first about their lengths? It turns out that the “logarithm” find the right calibration: what is the proportion of in- of the cycle length follows a Poisson point process (on decomposable integers, i.e., of prime numbers? And the interval [0, log N]), the distribution that arises in what is the proportion of indecomposable permuta- the modelling of the spacing of random numbers on tions, i.e., of cycles? It is not difficult to see that the the real line or cars on the highway, the modelling of proportion of cycles among permutations on N sym- customers’ arrival times in a queue, or the modelling bols is 1/N. e analogous question for prime num- of radioactivity in a specific radioactive material. e bers is much more difficult: in 1793, when he was 16 logarithm of the logarithm of a prime in the factoriza- years old, Gauss conjectured that the number of primes tion of a typical integer also follows a Poisson process that are at most x is approximately 1/ log x, a result distribution on [0, log log x]. that was proved independently by Hadamard and de Andrew Granville then observed that the results pre- la Vallée Poussin in 1896. Hence the proposed calibra- sented so far in his lecture, which highlight the simi- N tion is the following: in the case of permutations larities between the anatomy of permutations and the x and log in the case of integers. Granville then pre- anatomy of the integers, concerned the number and sented a series of results using this thread. First one size of the components, which follow a random distri- computes the proportion of permutations that can be bution. erefore these similarities need not surprise k decomposed into exactly cycles. One obtains the for- us. What about the properties of permutations and in- mula − tegers that are not as standard as “number” and “size”? 1 (log N)(k 1) ∼ . One still find similarities, for instance when consid- N (k − 1)! ering permutations that do not contain small cycles. For integers N must be replaced by log x and one ob- e proportion of permutations on N symbols that tains the formula do not contain a cycle of length less than N/u equals 1 (log log x)(k−1) uω(u)/N, where ω(u) denotes the Buchstab function ∼ , log x (k − 1)! (used in the modelling of the brain). In the same fashion the proportion of integers that are at most x and which turns out to be the proportion of integers with have no prime factor p with log p < (log x)/u equals exactly k prime factors (a result proved by Hardy and uω(u)/ log x. If one considers the permutations with Ramanujan in 1917). no large cycle and the integers with no large prime fac- e typical permutation on N symbols can be decom- tor, the similarity between distributions can also be ob- posed into approximately log N disjoint cycles; as ex- served: in that case the distributions are related to the pected a typical integer has approximately log log x Dickman function, used in cryptography. prime factors. Of course some permutations have Aer his lecture Andrew Granville answered a few one cycle only in their decomposition, others have questions skillfully and the evening ended with a “vin N cycles, and in a similar fashion some integers d’honneur” in the beautiful hall of the Jean-Coutu have few prime factors while others (for instance Pavilion.

54 T CRM O P

Mathematics that Swings: The Math behind Golf Doug Arnold (University of Minnesota) by Christiane Rousseau (Université de Montréal)

contact with the ball. Doug Arnold concluded the first part of his lecture by a striking quote: “All models are wrong, but some are useful.” He then spoke briefly of the impact of the club on the ball and demonstrated, with the aid of photographs, the significant deformation of the ball. Doug Arnold also presented the formula giving the speed of the ball, first under the as- sumption of kinetic energy conservation and then with an improved model including a coefficient of restitu- tion. In the second part of his lecture Doug Arnold dwelt at length on the flight of the ball. He showed that the Doug Arnold ball’s trajectory is very far from being the parabola Doug Arnold’s lecture was part of a popularization ac- contained in a plane that is presented in elementary tivity called 24 heures de science. In 2011 the CRM and courses on mechanics. One must consider not only the ISM took part for the second time (the first time be- gravity but two other forces: the “li” and the “drag.” ing 2010) in this day of activities related to science and Doug Arnold spoke only about the drag, which arises technology and geared towards all age groups (chil- because of the friction of the air on the ball and the dren, teenagers, young adults, families, retirees, etc.). difference between the pressure on the front of the e “24 hours of science” start at noon on a Friday and ball and the pressure on the rear. e combined ef- include activities during the evening and the night. Be- fect of friction and pressure difference can be roughly tween Friday, May 6, at noon and Saturday, May 7, at modelled by a single number, the Reynolds number, noon, at least 260 scientific activities took place in the whose usefulness was demonstrated on many exam- province of ébec, including the Grande Conférence ples. e speaker then moved on to explain Eiffel para- by Doug Arnold, which followed some mathemati- dox, also called the “drag crisis.” Indeed Gustave Eif- cal animations. Hélène Péloquin-Tessier commented fel observed that the drag is not a monotonic function Doug Arnold’s video (entitled Möbius transformations). of the Reynolds number. is phenomenon was ex- Philippe Carphin presented his video on the com- plained by L. Prandtl with his boundary-layer theory. pletion of Escher’s engraving (Exposition d’Estampes). Prandtl was able to solve an approximation of Navier – Christian Côté illustrated the mathematics of juggling Stokes equations in the vicinity of the boundary layer, and Jean-François Gagnon commented an animation thus explaining the separation of the boundary layer. by Yvan Saint-Aubin on Hopf fibration. is part of the lecture was illustrated by many pic- In his lecture Doug Arnold discussed three aspects tures and photographs in order for the audience to of golf that can be addressed through mathematical grasp this phenomenon well. modelling: the golfer’s movement, the impact of the e last part of the lecture dealt with the optimization golf club on the ball, and the movement of the ball. of the ball surface and the fact that far beer results e golfer’s movement can be modelled by a double were obtained by scientific computing than by trial- pendulum, in which the first arm of the pendulum is and-error methods. Doug Arnold stressed that there the golfer’s stretched arm and the second arm is the is an infinity of cases to test since the holes may have golf club. Doug Arnold had brought a double pendu- varied shapes and their placement on the ball surface lum with him and the audience was able to admire its is critical for ball performance. In the case of rough chaotic movement and the unpredictable sequences of balls the drag crisis occurs precisely for Reynolds num- 4 or 5 consecutive spins of the terminal arm. e ac- bers achieved during the ball flight, a fact that enables celeration of the clubhead may be more than 20 g and one to increase considerably the scope of a ball throw. its speed more than 190 km/h at the time it comes into is part of the lecture was punctuated with old films

55 C    demonstrating the phenomenon in experiments with well as the others. His lecture conveyed a crucial mes- bellows. sage on the role of mathematics in solving golf prob- Doug Arnold’s lecture was outstanding. He succeeded lems and similar problems. e members of the audi- in awakening the interest of all the persons in the au- ence showed their gratefulness by staying for the “vin dience, those who had been trained in engineering as d’honneur” during a long time.

56 CRM Partnerships C   

 CRM is strongly commied to its national mission and takes measures to ensure that as many Canadian T scientists as possible benefit from its activities and become involved in their planning. For instance, it ap- points to its Scientific Advisory Commiee eminent Canadian scientists from various parts of the country; it is present in all important forums where the future directions of the Canadian mathematical sciences are discussed; it urges its organizers to ensure that Canadian specialists are included in their activities; it organizes and supports scientific events across the country; it collaborates with Canadian institutes, societies, and associations. A specific budget is set aside each year for the participation of Canadian graduate students in its programs. e CRM is the only national institute that operates in the two official languages of Canada and it is highly visible on the international scene. In keeping with its national role, it coordinates its activities with the Fields Institute, PIMS, the Canadian Mathematical Society (CMS), MITACS, the Canadian Applied and Industrial Mathematics Society (CAIMS), the Statistical Society of Canada (SSC), the Canadian Association of Physicists (CAP), as well as other societies and institutes abroad.

CRM Partners

The Fields Institute (FI) and the Pacific thematic semester. e CRM is a partner of the Banff Institute for the Mathematical Sciences International Research Station (BIRS). (PIMS) e researchers belonging to the CRM or a CRM laboratory enjoy close collaborations with French col- Since the early 1990s two other research institutes have leagues, in particular CNRS and INRIA researchers. In joined the CRM on the Canadian scene: Toronto’s 2010 – 2011 some CRM members and researchers from Fields Institute (FI) and the Pacific Institute for the the Université de Cergy-Pontoise prepared the Sum- Mathematical Sciences (PIMS). As well as coordinat- mer School on Non-equilibrium Statistical Mechanics, ing their scientific activities, the three institutes have which was held in July 2011. Also in 2010 – 2011, the worked closely on a variety of initiatives, the most im- CRM and CNRS started planning the creation of an portant of which is the Mathematics of Information Unité Mixte Internationale (UMI) of CNRS at the CRM. Technology and Complex Systems network (MITACS). e UMI was formally created in October 2011. e three institutes are also involved in other initiatives, such as the CRM – Fields – PIMS Prize awarded e CRM has signed agreements with the European in recognition of outstanding accomplishments in the Union. For instance, in 2006 the CRM and the ISM mathematical sciences in Canada. It was created in signed an agreement with the ALGANT consortium 1994 as the CRM – Fields Prize and became the CRM – (where ALGANT stands for Algebra, Geometry, Num- Fields – PIMS Prize in 2006. e administrative respon- ber eory) to further the exchange of graduate stu- sibility for this prize rotates between the three insti- dents. In 2010 the CRM was one of the 12 partners tutes. to sign an agreement with SISSA (an Italian centre) to promote exchanges of visiting researchers specializing International and National Collaborations in mathematical physics. SISSA (International School for Advanced Studies, in English) is based in Trieste e CRM collaborates with research centres in the and is a university dedicated to the training of gradu- Montréal area, especially GERAD (Group for Research ate students. in Decision Analysis). e CRM, the ISM, and GERAD e CRM has signed two agreements with the TIFR jointly organize a weekly statistics colloquium (see the (Tata Institute of Fundamental Research), a prestigious section General Program). In 2010 – 2011 the CRM and research centre in India. e scope of the first agree- GERAD organized the Workshop on Decision Analy- ment was applied mathematics and it was signed in sis and Sustainable Development (see the section Mul- 2006 between the CRM and the TIFR Centre for Ap- tidisciplinary and Industrial Program) and the GERAD plicable Mathematics in Bangalore. e first project Spring School on Evolutionary Games (see the section (within this agreement) concerned some applications General Program). e Ministère des Ressources natu- of mathematics to medical equipment and was fi- relles et de la Faune of ébec and the Canadian For- nanced by the Ministère du Développement écono- est Service were also CRM partners for the statistics mique, de l’Innovation et de l’Exportation of ébec;

58 CRM P the Université de Montréal; and the École Polytech- launched on February 19, 1999. By March 1999, all nique de Montréal. is project included an internship 21 initial research projects were under way. MITACS for a Bangalore doctoral student and a visit by Profes- leads Canada’s effort in the generation, application, sor Vivek Borkar, dean of the TIFR School of Technol- and commercialization of new mathematical tools and ogy and Computer Science in Mumbai. ree mem- methodologies within a world-class research program. bers of the CRM (Michel Delfour, from the Université In order to do so, MITACS initiates and fosters linkages de Montréal, and Frédéric Lesage and André Garon, with industrial, governmental, and not-for-profit orga- both from the École Polytechnique) visited the Banga- nizations. e only network of centres of excellence lore TIFR in order to teach mini-courses. e scope for the mathematical sciences, MITACS currently in- of the second agreement was pure mathematics and it volves more than 300 scientists and 600 students (from was signed in 2011 between the CRM and the Mumbai almost 50 universities) working on approximately 30 TIFR. In 2010 – 2011 a student who had just obtained projects. MITACS research focuses on five key sectors a doctorate from TIFR spent one year at the CRM as a of the economy: biomedical and health sector; envi- postdoctoral fellow. ronment and natural resources; information process- In its publishing activities, the CRM is continuing ing; risk and finance; and communication, networks, its partnership with the American Mathematical So- and security. ciety (AMS), in particular through its two series of MITACS also extends financial support to some events joint publications, the CRM Monograph Series and the organized by the CRM and other institutions. For ex- CRM Proceedings & Lecture Notes. A CRM series, in ample, in 2010 – 2011 it supported in part the Work- mathematical physics, is published by Springer. e shop on Causal Inference in Health Research (see CRM has exchange agreements with the Fields Insti- the section ematic Program) and four activities de- tute, PIMS, MSRI, the Institute for Mathematics and scribed in the section Multidisciplinary and Industrial its Applications (IMA), the École Normale Supérieure Program: the Course on Micromacroscopic Systems, (France), the Isaac Newton Institute, the Institut des the Workshop on Decision Analysis and Sustainable Hautes Études Scientifiques (IHÉS, France), and BIRS. Development, the First ébec – Ontario Workshop on Insurance Mathematics, and the MITACS Day on Associations and Professional Societies the Practice of Actuarial Science.

e CRM maintains close ties with the different pro- Atlantic Association for Research in the fessional societies in the mathematical sciences: CMS, Mathematical Sciences (AARMS) CAIMS, SSC, and CAP. e president of the CMS is an ex-officio member of the CRM International Sci- AARMS was founded in March 1996 at a time when entific Advisory Commiee. e CRM has also sup- the National Network for Research in the Mathemati- ported financially certain initiatives of the CMS, such cal Sciences was being discussed and planned. AARMS as the mathematical camps. Together with the other exists to encourage and advance research in all mathe- institutes, the CRM organizes or sponsors special ses- matical sciences (including statistics and computer sci- sions at the CMS, CAIMS, and SSC meetings. e CRM ence) in the Atlantic region. In addition AARMS acts as awards a prize each year jointly with the SSC; simi- a regional voice in discussions of the mathematical sci- larly, it awards a prize each year with the CAP in math- ences on a national level. Since its inception, AARMS ematical and theoretical physics. has played an important role in the research activities in the Atlantic region, sponsoring or co-sponsoring The Mathematics of Information numerous meetings and workshops. In the summer Technology and Complex Systems Network of 2002, AARMS initiated an annual Summer School (MITACS) for graduate students and promising undergraduates. AARMS is grateful to Canada’s three mathematical MITACS (Mathematics of Information Technology institutes, the Centre de recherches mathématiques, and Complex Systems) is a pan-Canadian network the Fields Institute, and the Pacific Institute for the for mathematics whose creation was proposed by Mathematical Sciences, as well as to the member uni- the three Canadian mathematical sciences institutes, versities, for providing funding for its activities. Its the CRM, Fields, and PIMS. MITACS was officially member universities are Acadia University, Cape Bre-

59 C    ton University, Dalhousie University, Memorial Uni- co-finances the CRM – University of Oawa Distin- versity, Mount Allison University, St. Francis Xavier guished Lecture Series, postdoctoral fellowships, and University, Saint Mary’s University, the Université de teaching releases so that University of Oawa faculty Moncton, the University of New Brunswick, and the members can undertake research with colleagues in University of Prince Edward Island. Finally AARMS the CRM’s laboratories or participate in the scientific receives some financial support from the provinces of activities of the CRM. New Brunswick and Nova Scotia. One can find information on the activities of AARMS on the following CRM – University of Oawa Distinguished web site: http://www.aarms.math.ca. Lecture Series

Academic Partners e series features talks by prominent mathematicians from Canada and abroad on topics at the forefront of e activities of the CRM rest on a solid basis of co- today’s mathematical research. In 2010 – 2011 there operation with regional universities, in particular the were two such talks at the University of Oawa. Montréal universities, and most particularly the Uni- • Nolan Wallach (University of California, San Diego), versité de Montréal, whose support for the CRM has Levels of Entanglement, September 24, 2010 been unfailing. e Université de Montréal releases • Rostislav Grigorchuk (Texas A&M University), As- five of its faculty members to work at the CRM each pects of Growth in Algebra, April 1st, 2011 year, and the support of these faculty members is an essential asset for the CRM’s scientific activities. Network for Computing and Mathematical ere is in addition a regular program of teaching re- Modeling (ncm₂) leases for the other Montréal universities, bringing the equivalent of another two positions to the CRM each e CRM is one of the founding members of the year. On an ad-hoc basis linked to the thematic pro- Network for Computing and Mathematical Modeling gram, the CRM has also been arranging the release of (ncm₂), a network created by several research cen- research personnel from nearby universities such as tres in order to respond to the needs of industry in Laval, Sherbrooke, een’s, and Oawa. e partner- fields related to computing and mathematical mod- ships of the CRM with the other research institutes in elling. e research of the network focuses on five the Montréal area have been very profitable. major themes: risk management, information processing, imaging and parallel computing, transport and With the financial support of the Université de Mont- telecommunications, and health and electronic com- réal, McGill University, the Université du ébec à merce. e ncm₂ was founded by the CRM, the Centre Montréal, Concordia University, and Université Laval, de recherche en calcul appliqué (CERCA), the Center as well as grants from NSERC and the Fonds québécois for Interuniversity Research and Analysis of Organi- de recherche sur la nature et les technologies (FQRNT), zations (CIRANO), the Center for Research on Trans- the CRM finances the activities of its ten laboratories, portation (CRT), the Centre de Recherche Informa- which collectively represent the most active branches tique de Montréal (CRIM), and the Institut National of the mathematical sciences. ese laboratories are de la Recherche Scientifique – Télécommunications the perfect illustration of scientific vitality and serve to (INRS-Télécom). At the present time the following feed the national and international scientific programs centres are members of the ncm₂: CIRANO, CRM, CIR- of the CRM. e reader may refer to the section on re- RELT, INRS-ÉMT, and GERAD. search laboratories for a description of the activities of each of these laboratories. ébec Neuroimaging Initiative (RNQ)

Association with the University of Oawa In recent years, CRM’s PhysNum laboratory has developed a strong collaborative network with various part- In 2003, the Department of Mathematics and Statis- ners in neuroimaging in the Montréal area. is net- tics of the University of Oawa became a member of work became an oﬃcially recognized network with the the Centre de recherches mathématiques (CRM). In founding of the Regroupement Neuroimagerie/ébec partnership with the University of Oawa, the CRM (RNQ), under the umbrella of the Institut universitaire

60 CRM P de gériatrie de Montréal. RNQ, with its 70 researchers, the strongest alliances of the CRM within that network has recently purchased some key equipment in neu- is its association with the INSERM laboratory for brain roimaging thanks to a very large grant ($11M). One of imaging at FMPMC Pitié-La Salpêtrière (Paris), whose director is Dr. Habib Benali.

Joint Initiatives

e annual meetings of the CMS, SSC, and CAIMS, as 2010 CMS Summer Meeting well as some of their training and promotion activities, June 4 – 6, 2010, University of New Brunswick – are jointly sponsored by the CRM, the Fields Institute, Fredericton PIMS, and MITACS. e annual meetings of the soci- http://cms.math.ca/Events/summer10/ eties allow Canadian mathematicians and statisticians CAIMS 2010 to keep abreast of their colleagues’ work, to organize July 17 – 20, 2010, Memorial University of Newfound- sessions on emerging topics, and aend lectures given land by world-renowned mathematicians or prize winners. http://www.math.mun.ca/~caims/ One can ﬁnd more information on the societies by con- 2010 CMS Winter Meeting sulting their respective web sites (www.cms.math.ca, December 4 – 6, 2010, University of British Columbia www.ssc.ca, and www.caims.ca). http://cms.math.ca/Events/winter10/ 38th Annual Meeting of the SSC May 23 – 26, 2010, Université Laval http://www.ssc.ca/en/meetings/2010/2010-annual- meeting-québec-city

61 Mathematical Education M E

 part of its mandate to promote and stimulate research in the mathematical sciences, at every level, the CRM A provides funding and support for many activities and programs related to mathematical education and the training of researchers. Many of these activities and programs are carried out jointly with the ISM (Institut des sciences mathématiques). As a result, much of the information contained in the present section is taken from the ISM annual report.

Institut des sciences mathématiques (ISM)

Created in 1991 by the departments of mathematics quium, the ISM Graduate Student Conference, and the and statistics of the four Montréal universities, the ISM ISM Graduate Student Seminar. is a consortium of seven ébec universities (Con- • Promotion of the mathematical sciences cordia, Laval, McGill, Université de Montréal, UQAM, e ISM produces the Accromαth journal and dis- UQTR, and Université de Sherbrooke), six of which of- tributes it freely in all the cégeps and secondary fer a Ph.D. program in Mathematics. As an institute schools in ébec. In this way, it contributes to to which belong almost all the ébec researchers in spreading mathematical knowledge among teachers, the mathematical sciences, the ISM has at its disposal young students, and the general public. Each year, ISM vast material and intellectual resources, and as a re- professors give talks aended by thousands of cégep sult, Montréal and ébec itself have become one of students; these talks present the latest breakthroughs the main centres of training and research in the math- in mathematics and the careers available to mathemat- ematical sciences in North America. e ISM is funded ics graduates. by the Ministère de l’Éducation, du Loisir et du Sport du ébec and by the seven universities in the consor- As the above list demonstrates, the CRM has several tium. joint activities with the ISM, in particular two colloquia, a joint program of postdoctoral fellowships, and e reader will find below an overview of the activities the planning of graduate courses related to the the- and programs of the ISM. matic programs of the CRM. Since the summer of 2003, • Coordination and harmonization of graduate pro- the CRM has also supported the Undergraduate Sum- grams mer Scholarships program, which allows postdoctoral e ISM was created to bring together the strengths fellows to supervise undergraduate students doing re- of its member departments, in order to turn them into search. a great school of mathematics. us the ISM coordinates the graduate studies of the mathematics depart- CRM – ISM Postdoctoral Fellowships ments, supports the sharing of expertise among its re- e CRM-ISM postdoctoral fellowships enable promis- searchers, and facilitates student mobility between the ing young researchers to devote themselves to their re- Montréal universities. search work. e ISM organizes a single competition • Scholarships and financial support on behalf of the seven universities of the consortium, e ISM helps students and beginning researchers and it receives a large number of applications, which carry out their research activities in several ways, for are then evaluated by the 150 ISM professors. e se- instance through the ISM Scholarships for Graduate lection of the fellows is rigorous and only one in forty Studies, the Carl Herz Scholarship (financed by the applicants is awarded a fellowship. e applications Carl Herz Foundation), the Travel Bursaries, the Un- are handled electronically in order to streamline the se- dergraduate Summer Scholarships and the CRM – ISM lection process and economize the resources consumed postdoctoral fellowships. during the selection. e postdoctoral fellows play a • Scientific activities crucial role in the Montréal universities: they collab- Since its creation, the ISM has initiated several activ- orate with the established researchers, stimulate their ities that are by now an integral part of the ébec work, and bring new ideas from other great centres of scientific scene: the CRM – ISM Mathematics Col- mathematical research. Also they are a vital link be- loquium, the CRM – ISM – GERAD Statistics Collo- tween the professors and the students, especially when

63 C    they organize on their own study groups on emerging Vivien Ripoll (Ph.D., Paris Diderot) is working with topics. François Bergeron and Christophe Hohlweg (UQAM). He carries out research mostly in combinatorics and 2010 – 2011 Postdoctoral Fellows the geometry of Coxeter groups and real and complex Mattia Cafasso (Ph.D., SISSA) is working with reflection groups. He published one article during his Marco Bertola and John Harnad (Concordia) in math- stay in Montréal and is preparing three more articles. ematical physics. During his stay in Montréal he Christian Stump (Ph.D., Wien) is working in com- published three articles, including one with Professor binatorics and theoretical computer science with Bertola, and submied three more articles, including François Bergeron, Christophe Reutenauer, and two with Professor Bertola. Christophe Hohlweg (UQAM). In 2010 – 2011 he was Grégoire Dupont (Ph.D., Lyon 1) has been working a co-organizer of the combinatorics seminar and pub- in the field of algebra with Professors Ibrahim Assem, lished three articles. Virginie Charee, and omas Brüstle of the Univer- ISM Doctoral Fellowships sité de Sherbrooke. G. Dupont is now a postdoctoral fellow in the ANR group “Géométrie tropicale et al- In 2007 – 2008 the ISM initiated a doctoral fellowship gèbres amassées” (Université Paris Diderot). He wrote program in order to recruit outstanding Ph.D. students. eight articles while at the Université de Sherbrooke, in- e doctoral fellowships provide financial support for cluding one with his Sherbrooke colleagues (Ibrahim four years to outstanding, new students to pursue a Assem and David Smith). He also organized several doctoral program at one of the ISM member univer- working groups during his stay in ébec and super- sities. e students fill an application form online vised an ISM summer student. and the applications are made available to all the ISM Tiago Fonseca (Ph.D., UPMC) works with Marco professors. An inter-university selection commiee, Bertola, John Harnad (Concordia), and Jacques Hur- which takes the department recommendations into ac- tubise (McGill) on algebraic and enumerative combi- count, makes the final selection of scholars. natorics and integrable quantum systems. In 2010 – 2011 two scholarships were awarded: one Nabil Kahouadji (Ph.D., Paris Diderot) works with to Kirill Shmakov, who holds a master’s degree from Niky Kamran (McGill). His research is on differential the St. Petersburg State University (Russia) and is cur- geometry, Cartan – Kähler theory, conservation laws, rently a Ph.D. student in mathematical physics at Con- geometric aspects of PDEs, and mathematical physics. cordia University, and the other one to Erwan Biland, In 2010 – 2011 he gave a lecture in the CIRGET semi- who is from Paris and will be co-supervised by a pro- nar. fessor at Université Laval and a professor at Université Dimitris Koukoulopoulos (Ph.D., UIUC) works Paris Diderot. E. Biland is working in number theory. with Andrew Granville (Montréal) on analytic, prob- For the academic year 2011 – 2012 a scholarship was abilistic, and additive number theory. He published awarded to Mohsen Yousefnezhad, who will be super- two articles during his stay in Montréal and is prepar- vised by Professor Javad Mashreghi at Université La- ing four more, including one wrien in collaboration val. with Andrew Granville. He gave a lecture in the analytic number theory seminar and another one at the Undergraduate Summer Scholarships ébec – Maine Number eory Conference (which took place at Université Laval in October 2010). During In collaboration with the CRM and the ISM professors, the summer of 2011 he supervised Philippe Charron, the ISM awards summer scholarships to promising un- an ISM summer student. dergraduates who want to do research during the sum- Guyslain Naves (Ph.D., Joseph Fourier) is working mer and plan to study mathematics at the graduate with Bruce Shepherd (McGill). His research is in com- level. ese undergraduates are supervised by post- binatorial optimization, graph theory, and approxima- doctoral fellows, who in general are supervising stu- tion algorithms. He published two articles during his dents for the first time. e reader will find below the stay in Montréal and is preparing three more articles. list of the undergraduate scholars.

64 M E

Nicolas Bouchard (Montréal) ISM Graduate Student Conference Scholarship co-financed by Matilde Lalín Supervisor: Ethan Smith e 13th ISM Graduate Student Conference (“Colloque Topic: Congruent numbers and their generalizations panquébécois annuel des étudiants”) was held on May Duration: 3 months 20 to 22, 2011 at the Université de Montréal. It was at- Crystel Bujold (McGill) tended by around 76 participants representing all the Scholarship co-financed by Henri Darmon ISM universities. e Conference was organized by Supervisor: Shabnam Akhtari Daniel Fiorilli, Louis-Xavier Proulx, Alexandre Des- Topic: estions in Galois theory fossés Foucault, Isabelle Ascah-Coallier, Colin Jauf- Duration: 3 months fret, Lenka Háková, François Charee, Guillaume Roy- Fortin, and Pierre-Luc Ramier. e plenary lectures Myriam Chabot (Sherbrooke) were given by Jean-Christophe Nave (McGill), Carl Scholarship co-financed by Ibrahim Assem Pomerance (Dartmouth College), Christiane Rousseau Supervisor: Grégoire Dupont (Montréal), and Morwen istlethwaite (Tennessee). Topic: Polynômes continuants et frises Duration: 2 months e following students made presentations during the Conference: Samir Raouafi (Laval), François Charee Philippe Charron (Montréal) (Montréal), Kael Dixon (McGill), Sophie Léger (Laval), Scholarship co-financed by Andrew Granville Raphaël Clouâtre (IU Bloomington), Dione Ibrahima Supervisor: Dimitris Koukoulopoulos (Laval), Noé Aubin-Cadot (Montréal), Jean-Philippe Topic: Introduction to basic concepts of number theory Fortin (McGill), Yasser Farhat (Laval), Patrick Lacasse Duration: 3 months (Laval), Ludovic Gagnon (Laval), Juan Ignacio Restrepo Zhe Chen (McGill) (McGill), Mohammad Bardestani (Montréal), Lenka Scholarship co-financed by Gantumur Tsogtgerel Háková (Montréal), Jérôme Fortier (UQAM), Colin Supervisor: Marco Veneroni Jauffret (Montréal), Daniel Fiorilli (Montréal), Laurent Topic: Applied convex analysis Delisle (Montréal). Duration: 2 months Jean-Philippe Fortin (McGill) Promotion of the Mathematical Sciences Scholarship co-financed by Dmitry Jakobson Supervisor: Nikolay Dimitrov Produced by the ISM and financed by the ISM, the Topic: Random regular graphs CRM, the MITACS network, and the Canadian Mathe- Duration: 3 months matical Society, the Accromαth magazine aims to draw Robert Gibson (McGill) more young people to the mathematical sciences. Ac- Scholarship co-financed by Rustum Choksi cromαth, whose editor-in-chief is André Ross, has two Supervisor: Marco Veneroni issues per year and is available free of charge in all the Topic: Variational analysis and partial differential high schools and cegeps of ébec. Accromαth is de- equations signed by an exceptional team of researchers and in- Duration: 3 months structors with a broad experience in the promotion of mathematics; it provides high school and cegep teach- Namdar Homayounfar (McGill) ers with stimulating and topical articles on the most Scholarship co-financed by Antony R. Humphries recent discoveries and applications, as well as articles Supervisor: Renato Calleja on the history of mathematics and its links with the Topic: Numerical study of a family of state-dependent arts. delay equations close to a singular limit Duration: 3 months Currently 1800 persons or institutions (mostly teach- Édith Viau (UQAM) ers from ébec) subscribe to the magazine. In 2010 – Scholarship co-financed by André Joyal 2011 Accromαth joined the Climate Change and Sus- Supervisor: Mathieu Anel tainability Program, which was launched by Profes- Topic: Catégorie de faisceaux abéliens sor Christiane Rousseau and includes 13 North Amer- Duration: 3 months ican Research Institutes. e Winter 2011 issue of Accromαth was devoted to climate change and sustainability. We refer the reader to the site www. accromath.ca for more information on Accromαth. 65 C   

Other Joint Initiatives

Workshop on Technology Integration in 54th Conference of the Association Teaching Undergraduate Mathematics mathématique du ébec Students October 22 – 24, 2010, Cégep de Rimouski October 1st, 2010, CRM Sponsored by the CRM, the ISM, the Canadian Mathe- matical Society, the Fondation du Cégep de Rimouski, e goal of this workshop was to foster exchanges the Commission scolaire des Phares, the ÉTS, the on the integration of technology into the teaching Cégep de Rimouski Teachers’ Union, the Université du of postsecondary mathematics, especially for students ébec à Rimouski, the Alphabet bookstore, and the enrolled in the mathematics programs. e workshop National Assembly of ébec was geared principally towards mathematicians working within mathematics departments and graduate stu- e Conference theme was “Mathematics and the En- dents teaching undergraduate courses. Mathematics vironment, It Is All Very Natural”. e conference in- teachers from other departments and institutions (for cluded a lecture by Hubert Reeves on the importance of instances cegeps) were invited to take part in the work- science and mathematics for the environment, workshop in order to broaden the exchanges. e language shops for grade school teachers (which took place on of the workshop was mostly French but an “English” Friday), and rich and interesting workshops for high version of the workshop took place at the Fields In- school and college teachers, university lecturers, and stitute. Both workshops were organized within the college and university students. framework of the following project: Computer Alge- bra Systems (CAS) in University Instruction: An Interna- SUMM 2011 tional Research Study in CAS Usage and Sustainability Seminars in Undergraduate Mathematics in (http://casresearch.nipissingu.ca/). Montréal, 2nd Edition February 5-6, 2011, Concordia e following lectures were given during the CRM Sponsored by Concordia, McGill, Montréal, UQAM, workshop. ISM, CAIMS, and the following students’ associations: • Technology and Postsecondary Mathematics Teach- AESSUQAM, AGÉÉM (UQAM), MASSA (Concordia), ing and Learning: A Mathematician’s Perspective and SUMS (McGill) (Bernard Hodgson, Laval). • Report on a Canadian Survey (Spring 2009) Regard- Organizing team: ing the Computer Algebra Systems Integration in Post- Sami Dellah (UQAM), Bruno Joyal (Concordia), Vin- secondary Mathematics Teaching (Chantal Buteau, cent Létourneau (Montréal), Frédéric Paquin-Lefebvre Brock; Daniel Jarvis, Nipissing; Zsolt Lavicza, Cam- (Montréal), Jifeng Shen (McGill), Cathryn Supko bridge). (McGill), David ibodeau (McGill), Édith Viau • Integration of a Course on a Symbolic Computation (UQAM) (SC) Soware: Challenges and Impact on the Cur- SUMM 2011 was aended by more than 50 partici- riculum (Yvan St-Aubin, Montréal; Laurent Delisle, pants. SUMM is a conference series that allows un- Montréal; Janse Van Rensburg, York). dergraduate students to give lectures on various topics • Rethinking the Undergraduate Mathematics Curricu- of modern mathematics. SUMM 2011 consisted of 4 lum: What is the Role of Technology? (Walter White- keynote lectures and 15 students’ talks. Here are the ley, York; Franco Saliola, UQAM; Jane Heﬀernan, titles of the keynote lectures. York). • Discrete Mathematics of Paul Erdős, Vašek Chvátal • Evaluating Students in Mathematics Courses with (Concordia) a Technological Component: Technical and Peda- • Chirurgie, nœuds et homologie de Floer, Olivier Collin gogical Challenges and Considerations on the Cur- (UQAM) riculum (France Caron, Montréal; Hichem Ben-El- • Predicting the Unpredictable: Extreme-value eory, Mechaiekh, Brock). Christian Genest (McGill)

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• L’aléatoire et l’invariance conforme, Yvan Saint- • Introduction à l’informatique quantique, Martin Aubin, (Montréal) ériault (Montréal) Here are the titles of the students’ talks. • Comportement des nombres premiers dans les progres- • Linguistics for Mathematicians, a Brief Introduction, sions arithmétiques, Louis-Philippe ibault (Mont- Joshua Aaron (McGill) réal) • Jewels and Algebra, Maxime Bergeron (McGill) • Introduction aux catégories, Édith Viau (UQAM) • Mathématiques et sport, Philippe Charron (Montréal) • Introduction au calcul des variations, Alexandre • Resolution of ODEs in Particle Physics, Long Chen Vincart-Émard, (Montréal) (McGill) • Nombres à la règle et au compas, Patrick Da Silva “Sciences et mathématiques en action” and (Montréal) “Association québécoise des jeux • An Introduction to Elliptic Curves, Dieter Fishbein mathématiques” (McGill) • Indéterminisme et système newtonien, Feisal Ben Has- e CRM contributes to the “Sciences et mathéma- sel (UQAM) tiques en action” program, created by Professor Jean- • Les corps gauches ﬁnis sont des corps, Vincent Lé- Marie De Koninck from Université Laval in order to tourneau (Montréal) popularize mathematics and science for high school • Constructing Cryptographic Hash Functions, François students and the general public. We refer the reader Séguin (Montréal) to the site www.smac.ulaval.ca for more information. • A Brief Introduction to Topology, Jifeng Shen (McGill) e CRM also supports the Association québécoise des • e Symmetric Group, Michael Snarski (McGill) jeux mathématiques (aqjm.fsg.ulaval.ca).

67 Research Laboratories R L

 2010 – 2011 the CRM was encompassing ten research laboratories at the heart of the ébec mathematical I community. ese research groups act as focal points for local scientiﬁc activity and participate actively in the scientiﬁc programs of the CRM.

Applied Mathematics

Description of members of the laboratory appeared in 2010 – 2011. In addition André Bandrauk coedited the two books e CRM Applied Mathematics Laboratory is a re- entitled respectively Progress in Ultrafast Intense Laser search network of some 21 applied mathematicians, Science VI and antum Dynamic Imaging. Beyond the engineers, computer scientists, and chemists, based in usual NSERC discovery grants, some significant grant Montreal. e Laboratory exists primarily to stimulate money was obtained by several members of the lab- research and collaboration in the applied mathematical oratory. In 2010 André Bandrauk was awarded a 9- research areas of its members by fostering discussion million-dollar CFI grant for a project entitled Infras- and the creation of ideas through conferences, work- tructure for Molecular Modelling, Visualisation, Imag- shops, and seminars, and the furtherance of research ing. e amount awarded included the cost of a CAVE through its visitors’ program and the appointment of (Computer Assisted Virtual Environment). Jacques talented postdoctoral fellows. e Laboratory is also Bélair and Fahima Nekka are the coinvestigators of an very concerned with the training of young researchers FQRNT three-year project entitled Développement de and supports travel and conference aendance of its pharmacométriques pour la variabilité issue de la prise postdoctoral fellows. et de la disposition médicamenteuse, for which they will e research interests of the Laboratory members are receive $47,000 per year. Finally Jean-Christophe Nave quite diverse although there are a number of com- was awarded an NSERC Discovery Accelerator Supple- mon threads that make interchange and collaboration ment of $120,000 for the period 2011 – 2014. both possible and fruitful. Active areas of research e laboratory members gave a large number of semi- represented within the Laboratory include, for exam- nar and contributed conference presentations in 2010 – ple, the application of dynamical systems theory to 2011. We mention here only some of the presenta- complex phenomena, high-dimensional chaos, and bi- tions given by laboratory members as keynote or ple- ology. ere is an interest in numerical linear alge- nary speakers. Peter Bartello was a keynote speaker bra and its applications, including the design, analysis, at the Geophysical Turbulence Program Workshop en- and implementation of effective computer algorithms. titled Topics in Rotating Stratified Turbulence (at the Amongst the membership one will also find expertise National Center for Atmospheric Research in Boulder, in numerical simulation, applied dynamical systems, Colorado). In 2010 he gave an invited talk in the Cen- quantum chemistry, turbulence, combustion, biome- ter for Marine and Climate Research Workshop enti- chanics, numerical methods in fluid mechanics and tled Below the Rossby Radius — Workshop on small-scale electromagnetism, hp-finite element methods, molec- variability in the general circulation of the atmosphere ular dynamics, control, optimization, preconditioners, and oceans (at the Klima Campus of the Universität and large-scale eigenvalue problems. Hamburg, in Germany). In April of 2011, at the Univer- sity of Cambridge, Peter Bartello also gave an invited News and highlights talk entitled “Balance (or lack thereo) from a turbulence perspective” at the 4th Meeting of wave-flow in- André Bandrauk was appointed an Officer of the Or- teractions — a network in mathematics. In 2010 – 2011 der of Canada “for his pioneering work in aosecond we also note that André Bandrauk was invited 12 times science”. In 2010 he was awarded the Marie-Victorin to deliver a keynote address and Tucker Carrington re- Prize from the Government of ébec. In 2010 Tony ceived 13 plenary or keynote speaker invitations to in- Humphries was elected Member at large of the board ternational conferences. of the Canadian Applied and Industrial Mathematics Society (CAIMS). All told, at least 95 book chapters and refereed journal publications bearing the names

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Students, postdoctoral fellows, and visitors Members of the Laboratory

A priority area for the applied mathematics laboratory Regular members has always been the training of young applied mathe- Robert G. Owens (Montréal), Director maticians. Over the past year the laboratory has pro- Mechanics, numerical simulation of complex fluids vided significant funds to support two postdoctoral fellows. Some of the fellows are also supported through Paul Arminjon (Montréal) NSERC Discovery Grants or other sources of funding. Numerical methods in fluid mechanics In 2010 – 2011 members of the Applied Mathematics André D. Bandrauk (Sherbrooke) Laboratory supervised or cosupervised 11 M.Sc. stu- antum chemistry dents, 25 Ph.D. students, and 14 postdoctoral fellows. Peter Bartello (McGill) Turbulence, CFD Seminars Jacques Bélair (Montréal) Dynamical systems in physiology Although the research interests of the laboratory mem- Anne Bourlioux (Montréal) bers are broad and diverse, the weekly seminar series Modelling, numerical simulation in turbulent combus- continues to be well aended and to be a stimulating tion source of research ideas and fruitful mathematical exchanges and collaborations. In 2010 – 2011 the CRM – Xiao-Wen Chang (McGill) McGill Applied Mathematics Seminar featured 24 pre- Numerical linear algebra and applications sentations. Rustum Choksi (McGill) Calculus of variations, nonlinear partial differential Workshops, special sessions, and others equations, problems arising in materials science, self- assembly of diblock copolymers, magnetic domain for- In 2010 André Bandrauk was an organizer of a sym- mation in type-1 superconductors and ferromagnets posium entitled Ultrafast Intense Laser Chemistry in Eusebius J. Doedel (Concordia) PACIFICHEM 2010 in Hawaii. e conference took Numerical analysis, dynamical systems, differential place from December 15 to 20. He was also an orga- equations, bifurcation theory, scientific soware nizer in May 2011 of a session on aosecond science Eliot Fried (McGill) at the Kavli Institute of eoretical Physics in Beijing. Mechanics and thermodynamics of continuous media Finally André Bandrauk was on the organizing com- Antony R. Humphries (McGill) miee of a symposium on Science laser ultrarapide at Numerical analysis, differential equations the 79th Congrès de l’Acfas, held at the Université de Sherbrooke on May 9 – 13. Sherwin A. Maslowe (McGill) Asymptotic methods, fluid mechanics e Applied Mathematics Laboratory sponsored the Jean-Christophe Nave (McGill) following workshop (see the section General Program, Numerical analysis, PDE, interface problems, level set p. 27). methods, fluid mechanics, computer graphics Workshop on Bifurcation Analysis and its Applications Gantumur Tsogtgerel (McGill) July 7 – 10, 2010, Concordia University Applied mathematics, partial differential equations, Sponsored by the Applied Mathematics Laboratory, general relativity the Centre for Applied Mathematics in Biosciences and Jian-Jun Xu (McGill) Medicine (CAMBAM) at McGill University, and the Of- Asymptotics and numerical analysis, nonlinear PDEs, fice of the Vice-President, Research and Graduate Stud- materials science ies of Concordia University Organizers: Eusebius Doedel (Concordia), Lennaert Associate members van Veen (Concordia) Tucker Carrington (een’s) Chemical dynamics Martin J. Gander (Genève) Domain decomposition, preconditioning

70 R L

Nilima Nigam (Simon Fraser) omas P. Wihler (Bern) Applied analysis, numerical methods in electromag- Numerical analysis, computational methods for PDEs netism Jean-Paul Zolésio (INRIA Sophia Antipolis) Paul F. Tupper (Simon Fraser) Control, optimization Numerical analysis, stochastic processes, statistical mechanics

CICMA Description Seminars

CICMA brings together researchers working in num- e ébec – Vermont Number eory Seminar, CI- ber theory, group theory, and algebraic geometry. CMA’s main scientific activity, is held every second Contemporary number theory follows two major ursday for a full day and is aended by about 30 par- trends. On one hand, there is the theory of special ticipants from Montréal, Vermont, ébec City, and values of L-functions aached to arithmetic objects, Oawa. In 2010 – 2011, John Voight, Chantal David, originating in the work of Gauss and Dirichlet and and Jayce Getz were the organizers of the Seminar, leading to the modern conjectures of Deligne, Beilin- which included many well-aended lectures. Informa- son, and Bloch – Kato. On the other hand, the Lang- tion on the ébec-Vermont Seminar can be found at lands program postulates a close link between arith- http://www.dms.umontreal.ca/~andrew/QVNTS/. metic L-functions and automorphic representations. Workshops, special sessions, and others An area where these two currents intersect is the study of elliptic curves. is area is particularly well rep- During the week of March 12 – 16, 2011, CICMA mem- resented in the laboratory with Darmon, Iovita, and ber Henri Darmon gave, in collaboration with Vic- Kisilevsky. A leader in his field, Andrew Granville tor Rotger, a mini-course on Star – Heegner points brings to the laboratory an expertise in many aspects at the annual Arizona Winter school. is annual of analytic number theory. On the group theory side, instructional conference was solely devoted to this Olga Kharlampovich is a world-renowned specialist of theme, which grew out of a conjectural construction of group varieties and John McKay is one of the instiga- global points on elliptic curves that Darmon proposed tors of the moonshine program. roughly 12 years ago. In 2010 – 2011 Eyal Goren organized, in collaboration News and highlights with Stephen Kudla, two Montréal – Toronto work- Youness Lamzouri was awarded the 2011 CMS Doc- shops in number theory. e Toronto – Montréal toral Prize for his Ph.D. thesis on Riemann’s zeta func- workshop series initiated by Goren and Kudla has tion, wrien at the Université de Montréal under the grown into a regular and reliably successful bi-annual supervision of CICMA member Andrew Granville. e event. CICMA member Jayce Getz and former CICMA 2010 – 2011 academic year saw many members of CI- postdoctoral fellow Xander Faber ran the annual Bel- CMA involved in the organization of prestigious in- lairs Workshop in Number eory at McGill’s Bellairs structional conferences at the local, national, and in- Research Center. One can find reports on these three ternational level (see below). workshops, as well as on the ébec – Maine Confer- ence, in the section General Program. Students and postdoctoral fellows 1st Montréal – Toronto Workshop in Number eory September 4 – 5, 2010, CRM In 2010 – 2011 members of CICMA supervised or cosu- Sponsored by the CRM and the Fields Institute pervised 22 M.Sc. students, 41 Ph.D. students, and 18 Organizers: Eyal Goren (McGill), Stephen Kudla postdoctoral fellows. (Toronto) ébec – Maine Conference on Number eory, 2010 October 2 – 3, 2010, Université Laval

71 C   

Sponsored by the Department of mathematics and Eyal Z. Goren (McGill) statistics of Université Laval, the Number eory Arithmetic geometry, algebraic number theory, mod- Foundation, the National Science Foundation, and CI- uli spaces of abelian varieties, Hilbert modular forms, CMA p-adic modular forms Organizers: Hugo Chapdelaine (Laval), Jean-Marie Andrew Granville (Montréal) De Koninck (Laval), Claude Levesque (Laval) Analytic number theory, arithmetic geometry, combi- 2nd Montréal – Toronto Workshop in Number eory natorics April 9 – 10, 2011, Fields Institute Heekyoung Hahn (McGill) Sponsored by CICMA, the CRM, and the Fields Insti- Eisenstein series, L-functions, trace formula, q-series, tute theta functions and partitions Organizers: Eyal Goren (McGill), Stephen Kudla Adrian Iovita (Concordia) (Toronto) Number theory, p-adic cohomology e Bellairs Workshop in Number eory Olga Kharlampovich (McGill) Tropical and Non-Archimedean Geometry Combinatorial group theory and Lie algebras May 6 – 13, 2011, Bellairs Research Institute Hershy Kisilevsky (Concordia) Sponsored by CICMA L-functions, Iwasawa theory, elliptic curves, class field Organizers: Xander Faber (Georgia, Co-organizer), theory Jayce Getz (McGill, Head Organizer) John Labute (McGill) p Regular members of the Laboratory Pro- -groups, Lie Algebras, Galois eory Matilde Lalín (Montréal) Henri Darmon (McGill), Director Mahler measures, L-functions, zeta functions Algebraic number theory, arithmetic geometry, Claude Levesque (Laval) L-functions, Diophantine equations, elliptic curves Algebraic number theory, units, class number, cyclo- Hugo Chapdelaine (Laval) tomic fields Algebraic number theory, algebraic geometry Michael Makkai (McGill) Chris Cummins (Concordia) Mathematical logic Group theory, modular functions, moonshine John McKay (Concordia) Chantal David (Concordia) Computational group theory, sporadic groups, compu- Analytic number theory, L-functions tation of Galois groups Jean-Marie De Koninck (Laval) M. Ram Murty (een’s) Analytic number theory: distribution of prime num- Number theory: Artin’s conjecture, elliptic curves, bers, factorization of numbers, asymptotic behaviour modular forms, automorphic forms, Langlands proof arithmetic functions, Riemann zeta function gram, Selberg’s conjectures, sieve methods, cryptog- David S. Dummit (Vermont) raphy Algebraic number theory, arithmetic algebraic geome- Damien Roy (Oawa) try, computational mathematics Transcendental number theory David Ford (Concordia) Peter Russell (McGill) Computational number theory, algorithmic number Algebraic geometry theory Francisco aine (Concordia) Jayce Robert Getz (McGill) Cyclotomic fields, cyclotomy, rational points on curves Number theory

CIRGET

Description throughout human history, reﬂect a deep link to our experience of the universe. ey are a focal point of Geometry and topology are fundamental disciplines modern mathematics and indeed several domains of of mathematics whose richness and vitality, evident mathematics have recently shown a strong trend to-

72 R L wards a geometrization of ideas and methods: two In 2010 – 2011, CIRGET members supervised 20 post- cases in point are mathematical physics and number doctoral fellows, 26 doctoral students, and 23 master’s theory. students. In addition, CIRGET members supervised 10 CIRGET, based at UQAM, is composed of fieen full summer research students in 2011. members, three associate members, and a large num- Many of our postdoctoral fellows are still at CIRGET in ber of postdoctoral fellows and graduate students 2010 – 2011, but those who have completed their stays working in this broad field. e main themes to be at CIRGET are moving on to good positions. Hong- pursued in the coming years include the topological nian Huang won a 2-year Hadamard postdoctoral fel- classification of 3-dimensional manifolds; quantiza- lowship, which he will begin in Paris in January 2012. tion of Hitchin systems and the geometric Langlands Frédéric Palési accepted a “maître de conférences” po- program; classification of special Kähler metrics; the sition at the Université de Provence. Nicholas Touikan study of symplectic invariants, especially in dimension le in December 2010 to take up a postdoctoral posi- 4; nonlinear partial differential equations in Rieman- tion at the University of Oxford. Abraham Smith be- nian geometry, convex geometry, and general relativ- came an Assistant Professor at Fordham University in ity; and Hamiltonian dynamical systems. e fields New York (starting in July 2011), Francis Valiquee of algebraic geometry (in which Steven Lu and Peter has been an AARMS postdoctoral fellow at Dalhousie Russell are working) and geometric group theory (in University since September 2011, and Clément Hyvrier which Daniel Wise is working) are also represented at took up a postdoctoral position at Uppsala University. CIRGET. Alok Maharana is currently at Oberwolfach and shall be continuing his postdoc in India and Germany with News and highlights positions at Tata and Max Planck (respectively).

is year CIRGET was most pleased to welcome Jo- Our former doctoral students have also found good po- hannes Walcher as a new member. Walcher was re- sitions. Michael Wong, who finished his Ph.D. in 2011, cruited by McGill University and cross-appointed by has taken up a postdoctoral position at the Tata In- the Department of Mathematics and Statistics and the stitute in Mumbai, funded by a FQRNT postdoctoral Department of Physics. His research interests include fellowship. Rémi Leclercq (who obtained his Ph.D. mirror symmetry for open strings and nongeometric in 2009) was offered a “maître de conférences” po- string compactifications. Moreover, in January 2012, sition at Université Paris-Sud, while Éveline Legen- CIRGET shall be welcoming Frédéric Rochon, our new dre (who obtained her Ph.D. in 2010) was hired as a Tier 2 Canada Research Chair. Rochon is one of the top “maître de conférences” at the Université Paul Saba- young experts in the field of global analysis on singular tier in Toulouse. É. Legendre is spending the fall of spaces, notably index theory on manifolds with bound- 2011 as an invited researcher at MIT. CIRGET mem- ary. In collaboration with Richard Melrose, Rochon bers also greatly benefit from the many international has established an impressive program of generaliz- visitors who come to work with them. In the 2010 – ing the K-theoretic approach of the Atiyah – Patody – 2011 academic year 24 visitors stayed for short periods Singer theorem to the case of manifolds with bound- at the centre. ary. We look forward to working with him. Seminars CIRGET members also received several awards this year: Vestislav Apostolov was awarded an NSERC Ac- In 2010 – 2011 CIRGET invited four colloquium celerator Grant, and Steven Boyer was awarded the speakers within the CRM – ISM mathematics collo- “Prix de la recherche” by the Faculty of Science at quium lecture series: Alejandro Ádem (UBC), Leonid UQAM. Polterovich (Chicago & Tel Aviv), Dusa McDuff (Barnard College), and Claude Viterbo (École Poly- Students, postdoctoral fellows, and visitors technique, Paris).

Graduate students and postdoctoral fellows are an in- CIRGET’s everyday scientiﬁc life revolves around its tegral part of CIRGET scientiﬁc life, organizing work- weekly seminars and working groups where profes- ing groups and seminars, mentoring undergraduate sors, postdoctoral fellows, and students meet on a reg- students, and occasionally giving specialized courses. ular basis. e CIRGET Geometry and Topology Sem-

73 C    inar, organized by Vestislav Apostolov, is a general Pengfei Guan (McGill) seminar series aended by all CIRGET members. Of Partial differential equations, geometric analysis, sev- the 24 talks given this year, 20 were given by invited eral complex variables speakers who stayed at the centre for short research Jacques Hurtubise (McGill) visits. e Algebraic Geometry Seminar, organized by Algebraic geometry, integrable systems, gauge theory, Steven Lu, Peter Russell, and Karol Palka, hosted 12 moduli spaces talks, with 5 speakers coming from outside of Mont- André Joyal (UQAM) réal. André Joyal and Mathieu Anel also organized a Algebraic topology, category theory seminar on Triangular Categories. Niky Kamran (McGill) CIRGET working groups meet on a regular basis to ex- Geometric approach to partial differential equations plore specific topics over a period of several months or François Lalonde (Montréal) more. is year one working group was organized by Symplectic topology and geometry, global analysis on Steven Boyer on low-dimensional topology. manifolds, infinite dimensional transformation groups Steven Lu (UQAM) Workshops, special sessions, and other Chern number inequalities, semistability of tensorial Virginie Charee, a member of CIRGET, was one of sheaves, log jets, log and hyperbolic geometry, alge- the organizers of the Colloquium on Surfaces and Rep- braic degeneracy resentations held at the Université de Sherbrooke on Iosif Polterovich (Montréal) October 6 – 9, 2010 (see the section General Program, Geometric analysis, spectral theory, functional analy- p. 32). sis, differential geometry, partial differential equations Peter Russell (McGill) Members of the Laboratory Algebraic geometry Daniel T. Wise (McGill) Regular members Geometric group theory, low-dimensional topology Vestislav Apostolov (UQAM), Director Complex geometry, Kähler geometry Associate members Steven Boyer (UQAM) Syed Twareque Ali (Concordia) Topology of manifolds, low-dimensional geometry and Coherent states, wavelets, quantization techniques, topology harmonic analysis, Wigner functions Abraham Broer (Montréal) John Harnad (Concordia) Algebraic transformation groups, invariant theory Mathematical physics, classical and quantum physics, Virginie Charette (Sherbrooke) geometrical methods, integrable systems, group theo- Discrete group actions on affine varieties, Lorentz retical methods, random matrices, isomonodromic de- manifolds, Riemann surfaces discretization, discrete formations, isospectral flows differential geometry John A. Toth (McGill) Olivier Collin (UQAM) Microlocal analysis, partial differential equations Invariants of knots and 3-manifolds arising from global Johannes Walcher (McGill) analysis Mirror symmetry for open strings, nongeometric Octavian Cornea (Montréal) string compactifications Algebraic topology, dynamical systems

GIREF

Description cal phenomena whose complexity is unheard of. ese problems are characterized by nonlinear laws, non- e recent advances in computer hardware and so- diﬀerentiable friction laws, large-deformation geome- ware allow researchers to model and simulate physi- tries, complex solid-solid or ﬂuid-solid interactions,

74 R L problems in multiphysics, etc. Such problems can be • Design of bistable structures (M.-L. Dano, found everywhere in industrial environments, espe- A. Fecteau, M. Jean Saint-Laurent) cially in the design and fabrication of high-technology • Modelling of thermally-induced torsion within com- products. us the members of GIREF (“Groupe In- posite tubes (M.-L. Dano, N. Verreault) terdisciplinaire de Recherche en Éléments Finis”, or in English “Interdisciplinary Research Group in Finite Students, postdoctoral fellows, and visitors Element Methods”) aim to develop original numerical methods for solving cuing-edge industrial prob- An article arising from the thesis of Zanan Kavazovic lems in nonlinear mechanics. eir work concern pure won the Marra Prize 2010. is prize was awarded by mathematics, computer science, soware engineering, the Society of Wood Science and Technology to the and engineering. e GIREF members propose general two best articles published in the journal Wood and methods that can be used for diverse industrial applica- Fiber Science in 2010 (the article in question was in sec- tions. e some 27 member researchers reflect the in- ond place). Training highly qualified personnel is at terdisciplinary nature of the Laboratory and are based the core of our mission. In the 2010 – 2011 academic at Université Laval, the École Polytechnique de Mont- year 3 postdoctoral fellows, 14 Ph.D. students, and 13 réal, as well as the Universities of Moncton, Oawa, master’s students were carrying out research at GIREF. and Alberta. Seminars News and highlights In 2010 – 2011 the GIREF’s seminar included 11 talks. GIREF continued to enjoy a partnership with tire manufacturer Michelin through the development of Members of the Laboratory MEF++, a joint modelling tool. Numerous function- alities that are essential for the production of tires Regular members have already been implemented. e MEF++ so- André Fortin (Laval), Director ware is now an integral part of Michelin’s develop- Finite elements method, instationary viscous flows, ment strategy for its numerical modelling tools and mixing problems Michelin is considering using MEF++ as a common André Garon (Polytechnique Montréal), Deputy Di- tool in its world-wide academic collaborations. Here rector is a list of the projects currently pursued at GIREF; the ermohydraulics, fluid mechanics, finite elements reader will find more details on the GIREF web site method, hydraulic turbines, mechanics of biofluids: (giref.ulaval.ca). e names of investigators are stents and pumps given within parentheses. Youssef Belhamadia (Alberta) • e MEF++ project (A. Fortin, M. Fortin, R. Guénee, Mathematical modelling and numerical simulation of J. Urquiza, A. Cloutier) phase change problems, adaptive meshing for insta- • NSERC Research Chair in high performance scien- tionary problems in 2 and 3 dimensions, numerical tific computing (A. Fortin, principal investigator, and modelling of cryosurgery, numerical modelling of the J. Urquiza, associate investigator) electromechanical wave in the heart • Numerical modelling in the wood sciences Yves Bourgault (Oawa) (P. Blanchet, M.-L. Dano, A. Cloutier, A. Fortin, Computational fluid dynamics, numerical methods, fi- Y. Fortin, G. Gendron, D. Pelletier) nite elements method, mathematical modelling, me- • Modelling of flows in natural environments (J.- chanics of continuous media L. Robert, R. errien, Y. Secretan) Michel C. Delfour (Montréal) • Biomedical modelling (A. Garon, M. Delfour, Control, optimization, design, shells, calculus, biome- A. Fortin, Y. Bourgault, Y. Belhamadia) chanics • Numerical modelling in biology (L. Buono, G. Daigle, Michel Fortin (Laval) A. Fortin, D. Fortin, M. Fréchee, J. Urquiza) Numerical analysis of partial differential equations, • Parallel computing (all the members of GIREF) numerical methods in fluid mechanics, optimization and optimal control for partial differential equations

75 C   

Robert Guénette (Laval) Guy Dumas (Laval) Numerical methods in non-Newtonian fluid mechan- Mechanical engineering, physics of fluids ics, rheological models, Hamiltonian formulation Mohamed Farhloul (Moncton) Hassan Manouzi (Laval) Finite elements and finite volumes method, partial dif- Numerical analysis, applications of mathematics to en- ferential equations, applications of the mixed finite el- gineering ements method to fluid mechanics, numerical analysis Dominique Pelletier (Polytechnique Montréal) Marie-Isabelle Farinas (UQAC) Fluid mechanics and heat transfer, finite elements Modelling, numerical simulation, computational fluid method, adaptive finite elements methods for com- mechanics, design of turbo engines (cardiac pump), op- pressible and incompressible flows, modelling and sim- timization ulation of laminar and turbulent viscous flows, mod- Vincent François (UQTR) elling and simulation of fluid-structure interactions Integration of the finite elements method into Roger Pierre (Laval) computer-aided design Numerical analysis of partial differential equations Yves Fortin (Laval) José Urquiza (Laval) Forestry, forest engineering Numerical analysis, control of partial differential equa- Augustin Gakwaya (Laval) tions Aerospatial and aeronautical engineering, numerical modelling, computer-assisted design Associate members Guy Gendron (Laval) Pierre Blanchet (FPInnovations) Composite materials, optimization and modelling of Nanotechnology for wood products structures Alain Charbonneau (UQO) Jean-François Hétu (NRC-IMI) Numerical simulation of optical wave guides, finite ele- Numerical modelling of processes ments method, numerical methods, statistical machine Jean-Loup Robert (Laval) translation, automated text categorization Numerical models of free surface flows, transport and Alain Cloutier (Laval) diffusion models with stochastic components, unified Forestry, forest engineering modelling in a saturated and aerated environment Marie-Laure Dano (Laval) Yves Secretan (INRS-ETE) Mechanics and production of composite materials, in- Numerical methods for finite elements, mesh genera- telligent mechanical systems tion and adaptation, error estimation, hydrodynamics Claire Deschênes (Laval) in 2 dimensions, advection-diffusion phenomena Axial hydraulic turbines René errien (Laval) Underground water flows, hydrology, geothermics

INTRIQ

Description cal information can be derived from quantum information when decoherence is present. Until now, in most e INstitute for Transdisciplinary Research In an- fields related to information, quantum effects have of- tum computing (INTRIQ) brings together researchers ten been neglected. For instance, when information in quantum information processing coming from is transmied through optical fibers, the transmied physics, computer science, and engineering. e In- information is classical because the number of pho- stitute has 25 members from McGill, the Université de tons used to transmit this information is so large that Montréal, the École Polytechnique de Montréal, and quantum effects barely enter the picture and can easily the Université de Sherbrooke. antum information be neglected. However, thanks to the impressive re- is the generalization of the classical notion of infor- cent advances in the development of optical commu- mation, obtained by including the most fundamental nication and fiber technologies, it has become possi- law of physics, i.e., quantum mechanics. Indeed, classi- ble to send single photons, so that an understanding at

76 R L the quantum level becomes necessary. In fact, nowa- Students and postdoctoral researchers days, commercial devices can be acquired that transmit quantum information (for example, id antique and In 2010 – 2011 INTRIQ included 164 students. Numer- MagiQ). A very similar paern is starting to emerge ous visitors were welcomed by INTRIQ members in in the field of information processing, where the in- their laboratories, for stays lasting up to a whole year. creasing miniaturization of our electronic components will result in information being processed not by bil- Seminars lions of electrons at a time but by only a small number. is implies that the quantum nature of devices will e following laboratories hold weekly seminars: become more and more important. e same is true of • the Cryptography and antum Information Labo- magnetic memories, which might ultimately be based ratory at McGill University; on single spins. Hence it is no longer unreasonable to • the eoretical and antum Informatics Labora- think that parts of our information support will soon tory at the Université de Montréal; be of a quantum nature. • the antum Information Research Group at the Research in quantum computing and quantum infor- Université de Sherbrooke; and mation in ébec goes back to the seminal work by • the Optical Fibers Laboratory at the École Polytech- Charles Benne and Gilles Brassard on quantum cryp- nique de Montréal. tography (at the beginning of the 80s) and the discovery of quantum teleportation by several researchers, Workshops, special sessions, and others including two INTRIQ members (at the beginning of the 90s). Shortly aer 2000, several physicists and en- INTRIQ members gather regularly for workshops gineers joined the initial group of researchers, consist- where students, invited speakers, and themselves give ing mostly of computer scientists, and they created the talks, with the goal of fostering exchanges. In 2010 – CIQ2 (Calcul et Information antique au ébec). In 2011 there were two such workshops: one at the 2006 Gilles Brassard transformed the CIQ2 centre into Manoir St-Sauveur, on June 7 – 8, 2010, and the other an institute called INTRIQ, which is now a “strategic at the Grand Hôtel Times of Sherbrooke, on Septem- cluster” financed by FQRNT and includes 25 members ber 16 – 17, 2010. In 2010 the SMS Summer School was belonging to eight departments in four universities. devoted to quantum information processing and quantum cryptography. e reader will find a report on this News and highlights event in the section General Program (p. 24). Summer School INTRIQ has now two new members: William Coish Séminaire de mathématiques supérieures (assistant professor in the Department of Physics at Advanced School in antum Information Processing McGill University) and Bertrand Reulet (who holds a and antum Cryptography Canada Excellence Research Chair in antum Sig- June 21 – July 2, 2010, CRM nal Processing at the Université de Sherbrooke). IN- Sponsored by NATO, the CRM, the ISM, and the De- TRIQ members have received many awards in 2010 – partment of mathematics and statistics of the Univer- 2011. Olivier Landon-Cardinal (a Ph.D. student su- sité de Montréal pervised by David Poulin at the Université de Sher- Organizers: Daniel Goesman (Perimeter Inst.), Ju- brooke) was awarded a Vanier Canada Graduate Schol- lia Kempe (Tel Aviv), Christiane Rousseau (Montréal), arship in 2010. Alexandre Blais was awarded a E.W.R. Alain Tapp (Montréal) Steacie Memorial Fellowship by NSERC on June 1st, 2010. He was also honoured by the Canadian Associ- Members of the Laboratory ation of Physicists, which awarded him the Herzberg Medal in 2011. Gilles Brassard received a Doctorate antum information brings together many different honoris causa from ETH in Zürich in 2010 and the Kil- fields, including computer science, engineering, and lam Prize for Natural Sciences in 2011. e Killam Prize physics, which are all represented in INTRIQ. Here is Canada’s most distinguished annual award. is a list of members, by university.

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Université de Montréal Michel Pioro-Ladrière (Physics) Bertrand Reulet (Physics) Michel Boyer (Computer Science) Gilles Brassard (Computer Science) McGill University Richard Mackenzie (Physics) Louis Salvail (Computer Science) David Avis (Computer Science) Alain Tapp (Computer Science) Aashish Clerk (Physics) William Coish (Physics) École Polytechnique de Montréal Claude Crépeau (Computer Science) Guillaume Gervais (Physics) José Fernandez (Computer engineering) Peter Grütter (Physics) Nicolas Godbout (Engineering physics) Hong Guo (Physics) Suzanne Lacroix (Engineering physics) Patrick Hayden (Computer Science) Université de Sherbrooke Michael Hilke (Physics), director Zetian Mi (Electrical Engineering) Alexandre Blais (Physics) Prakash Panangaden (Computer Science) Patrick Fournier (Physics) omas Szkopek (Electrical Engineering) David Poulin (Physics)

LaCIM

Description Leroux, a founding member of LaCIM, was named posthumously a Bâtisseur of the Faculty of Sciences at LaCIM (French acronym meaning “Combinatorics and UQAM. Mathematical Computer Science Laboratory”) is home Several LaCIM members were invited to give lectures to mathematics and theoretical computer science re- at international conferences. Anne Bergeron was one searchers whose interests comprise discrete mathe- of the plenary speakers at the CanaDAM 2011 confer- matics and the mathematical aspects of computer science in Victoria, British Columbia. Srečko Brlek gave ence. Founded in 1989, LaCIM includes 16 regular an invited lecture at the Colloquium to honour Do- members, 5 associate members, and 14 collaborating minique Gouyou-Beauchamps on his 60th anniversary members. It welcomes postdoctoral fellows and its (at Orsay, France, in 2010). François Bergeron gave an regular members supervise or cosupervise many M.Sc. invited lecture at the FPSAC 2011 conference in Reyk- or Ph.D. students, as well as undergraduate and cegep javík, Iceland. summer research students. Many renowned mathematicians visit LaCIM and collaborate with its mem- Christophe Reutenauer has also published two books bers in the following areas: enumerative and bijec- in the collection Encyclopedia of Mathematics and its tive combinatorics, theory of species, algebraic com- Applications (Cambridge University Press). e first binatorics, combinatorics of finite and infinite words, one, with Jean Berstel, is entitled “Noncommutative discrete geometry, theory of languages and automata, Rational Series with Applications.” e second one, Gray codes, bioinformatics, and combinatorial opti- with Jean Berstel and Dominique Perrin, is entitled mization. “Codes and Automata.” François Bergeron was one of the distinguished scientists who handed out prizes at News and highlights the 12 Gala des Concours scientifiques Montmorency. François Bergeron and Gilbert Labelle gave introduc- Franco Saliola is now a professor at UQAM and a new tory mathematics lectures to cégep students on a reg- member of LaCIM. Srečko Brlek played a large role in ular basis. the creation of a CNRS Laboratoire International Asso- cié. is laboratory is a joint endeavour with the LaBRI Students, postdoctoral fellows, and visitors laboratory in Bordeaux. Srečko Brlek and Odile Mar- coe also played an important role in the creation of a In 2010 – 2011 LaCIM members supervised or cosuper- CNRS Unité Mixte Internationale at the CRM. Pierre vised 28 M.Sc. students, 37 Ph.D. students, and 11 post-

78 R L doctoral fellows. In particular LaCIM hosts four new Florent Hivert, from the Université Paris-Est Marne- postdoctoral fellows: Juan Carlos Bustamante, Chris la-Vallée. e audience included participants of the Berg, Grégoire Dupont, and Vivien Ripoll. Many long- LaCIM 2010 and GASCom 2010 conferences, as well as term visitors spend part of the year at LaCIM, in par- high school and cégep teachers wishing to incorporate ticular Guillaume Chapui (LIAFA), Loïc Foissy (Uni- the Sage soware into their teaching. e general lec- versité de Reims Champagne-Ardenne), Jim Haglund tures were followed by tutorials given by Franco Sali- (University of Pennsylvania), Carsten Lange (Freie ola and Sébastien Labbé. During the aernoon, several Universität Berlin), Vincent Pilaud (Université Paris libraries of interest to the audience (for instance those Diderot and Fields Institute for Research in Mathemat- related to word combinatorics or species of structures) ical Sciences), Nicolas iéry (Université Paris-Sud), were presented to the participants. and Laurent Vuillon (Université de Savoie). Ibrahim Assem and omas Brüstle, two members of LaCIM, were among the organizers of the following Seminars colloquium, whose report is included in the section e Combinatorics Seminar, held every Friday aer- General Program (p. 32). noon, was aended regularly by the majority of Labo- Colloquium on Surfaces and Representations ratory members, students, and postdoctoral fellows, as October 6 – 9, 2010, Université de Sherbrooke well as other members of the CRM. Most of the lectures Sponsored by Université de Sherbrooke, the CRM, the were given by visitors. ISM, and the RECSUS (Regroupement des Étudiants- Chercheurs en Sciences de l’Université de Sherbrooke) Workshops, special sessions, and others Organizers: Ibrahim Assem (Sherbrooke), omas Brüstle (Sherbrooke & Bishop’s), Virginie Charee In 2010 – 2011, the LaCIM organized two conferences (Sherbrooke), Tomasz Kaczynski (Sherbrooke), Chris- whose reports may be found in the section General tian Mercat (Montpellier 2), Jean-Philippe Morin (Sher- Program. brooke), Vasilisa Shramchenko (Sherbrooke) LaCIM 2010: 20th Anniversary of LaCIM Ibrahim Assem, omas Brüstle, and Shiping Liu orga- August 29 – 31, 2010, UQAM nized a session entitled Representation eory of Alge- Sponsored by UQAM, the CRM, and the Canada Re- bras at the 2010 CMS Summer Meeting held in Fred- search Chair in Combinatorial Algebra and Math- ericton, New Brunswick. Srečko Brlek was a member ematical Computing (UQAM) Organizers: François of the Steering Commiee of the 16th IAPR Interna- Bergeron (UQAM), Srečko Brlek (UQAM), Christophe tional Conference on Discrete Geometry for Computer Hohlweg (UQAM), Christophe Reutenauer (UQAM) Imagery, which took place on April 6 – 8 in Nancy, GASCom 2010 France. September 2 – 4, 2010, UQAM Sponsored by UQAM, the CRM, and the Canada Re- Members of the Laboratory search Chair in Combinatorial Algebra and Mathemat- ical Computing (UQAM) Regular members Organizing Commiee: Alexandre Blondin Massé Srečko Brlek (UQAM), Director (UQAM), Srečko Brlek (UQAM, general chair), Ariane Combinatorics of words, algorithmics Garon (local arrangements), Sébastien Labbé (UQAM), Ibrahim Assem (Sherbrooke) Christophe Reutenauer (UQAM, general cochair), Lise Representation theory Tourigny (secretary), Jérôme Tremblay (technical support) Anne Bergeron (UQAM) Bioinformatics Between these two conferences, on September 1st, François Bergeron (UQAM) 2010, was held Sage Day 25.5: Introduction to Sage and Combinatorics, algebra, representations of ﬁnite Combinatorics (also at UQAM). is Day was orga- groups nized by Alexandre Blondin Massé, Sébastien Labbé, and Franco Saliola (all three from UQAM), who also Robert Bédard (UQAM) gave lectures during the day. e fourth speaker was Representations of ﬁnite groups, Lie theory

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omas Brüstle (Sherbrooke & Bishop’s) Dominic Rochon (UQTR) Algebraic combinatorics, cluster algebras, triangula- Complex analysis, hypercomplex numbers tions of surfaces, stochastic differential equations, mathematical models in finance Collaborating members Cedric Chauve (Simon Fraser & UQAM) Marcello Aguiar (Texas A&M) Enumerative combinatorics, trees, bioinformatics Algebraic combinatorics, noncommutative algebra, Alain Goupil (UQTR) Hopf algebras and quantum groups, category theory Combinatorics, algebra, linear representations of Luc Bélair (UQAM) groups, symmetric group Mathematical logic, model theory Sylvie Hamel (Montréal) Nantel Bergeron (York) Bioinformatics and algorithms, theory of languages Applied algebra and automata, algebraic combinatorics Pierre Bouchard (UQAM) Christophe Hohlweg (UQAM) Commutative algebra, algebraic geometry and combi- Algebra, algebraic combinatorics, convex geometry natorics Gilbert Labelle (UQAM) Michel Bousquet (Vieux-Montréal) Enumerative combinatorics, analysis Enumeration of combinatorial structures, planar maps Shiping Liu (Sherbrooke) and cacti, theory of species, Lagrange inversion formu- Representation theory las Vladimir Makarenkov (UQAM) Yves Chiricota (UQAC) Computational biology, mathematical classification Computer graphics, mathematical methods in com- Marni Mishna (Simon Fraser) puter graphics, combinatorics, computational geome- Algorithms and enumerative, analytical, and algebraic try, symbolic computation combinatorics Sylvie Corteel (LIAFA & CNRS) Christophe Reutenauer (UQAM) Enumerative and bijective combinatorics, partitions of Algebraic combinatorics, noncommutative algebra, integers, q-series automata theory, coding theory, free algebras Adriano Garsia (UC San Diego) Franco Saliola (UQAM) Algebraic combinatorics, symmetric functions, har- Algebraic combinatorics, group representations monic and coinvariant spaces, quasiharmonic and quasi-invariant functions Timothy R.S. Walsh (UQAM) Algorithmics, enumerative combinatorics, graph the- André Joyal (UQAM) ory Algebraic topology, category theory Jacques Labelle (UQAM) Associate members Combinatorics, topology Pierre Lalonde (Maisonneuve) Louise Laforest (UQAM) Enumerative and bijective combinatorics, alternating Data structures, combinatorics, asymptotic analysis, sign matrices, enumeration of involutions with respect quaternary trees to various parameters, use of Pfaffians and determi- Daniel Lemire (TÉLUQ) nants in enumeration Database theory, data warehousing, multidimensional Cédric Lamathe (UQAM) databases (OLAP), data mining, time series, collabora- Combinatorics of tree-like structures, theory of tive filtering, information retrieval species, indicator series of partially labeled structures Simon Plouffe and asymmetric structures Integer sequences, generalized expansions of real Luc Lapointe (Talca) numbers Algebraic combinatorics, symmetric functions, inte- Xavier G. Viennot (Bordeaux 1) grable systems, supersymmetries Enumerative, algebraic, and bijective combinatorics, Odile Marcotte (UQAM & CRM) interactions between combinatorics, theoretical infor- Combinatorial optimization, integer programming, matics, and theoretical physics graph theory 80 R L

Mathematical Analysis

Description featured 40 talks in 2010 – 2011. A Seminar on Dy- namical Systems, featuring 1 talk, was also held at At the same time classical and central to modern math- Concordia. At the Université de Montréal, Paul Gau- ematics, analysis involves the study of continuous sys- thier (Université de Montréal) and Richard Fournier tems, from dynamical systems to solutions of partial (Dawson College and CRM) organize an Analysis Sem- differential equations and spectra of operators. In inar that featured 4 talks in 2010 – 2011, and Christiane 2010 – 2011 the Laboratory included 28 regular and Rousseau organizes the Nonlinear Analysis and Dy- 10 associate members working at eight different uni- namic Systems Seminar, which featured 1 speaker. versities in ébec, the United Kingdom, and France. Dmitry Jakobson and Iosif Polterovich organized a e members of the Laboratory work in the follow- Seminar in Spectral eory featuring 16 meetings during areas: harmonic analysis, complex analysis and ing the Spring of 2011. In addition, three CRM- several complex variables, potential theory, functional ISM Colloquium speakers were invited by Laboratory analysis, Banach algebras, microlocal analysis, anal- members. ysis on manifolds, nonsmooth analysis, spectral theory, partial differential equations, geometric analysis, Workshops, special sessions, and others ergodic theory and dynamical systems, control theory, mathematical physics, applied mathematics, prob- e following colloquium, whose report is included in ability, nonlinear analysis, nonlinear differential equa- the section on the CRM general program, was orga- tions, topological methods in differential equations, nized in part by members of the Mathematical Analysis fluid dynamics, and turbulence. Laboratory. News and highlights Colloquium on surfaces and representations October 6 – 9, 2010, Université de Sherbrooke Alexey Kokotov and Robert Seiringer joined the Math- Sponsored by the Université de Sherbrooke, the ematical Analysis Laboratory in 2010 – 2011. Alexan- CRM, the ISM, and the RECSUS (Regroupement des der Shnirelman presented a plenary talk at the 2010 Étudiants-Chercheurs en Sciences de l’Université de International Congress of Mathematicians: congratu- Sherbrooke) lations! Robert Seiringer was awarded an NSERC Dis- Organizers: Ibrahim Assem (Sherbrooke), omas covery Accelerator Grant in 2011. Iosif Polterovich Brüstle (Sherbrooke & Bishop’s), Virginie Charee was awarded the 2011 Coxeter-James Prize for Re- (Sherbrooke), Tomasz Kaczynski (Sherbrooke), Chris- search Excellence by the Canadian Mathematical So- tian Mercat (Montpellier 2), Jean-Philippe Morin (Sher- ciety. brooke), Vasilisa Shramchenko (Sherbrooke) Members of the Mathematical Analysis Laboratory Students, postdoctoral fellows, and visitors were also involved in the Second Bavaria – ébec Mathematical Meeting, held at the Universität Würz- Altogether, in 2010 – 2011, 6 postdoctoral fellows, 30 burg on November 22 – 25, 2010 (see http://www. Ph.D. students, and 33 M.Sc. students were supervised mathematik.uni-wuerzburg.de/~mathbq/). e or cosupervised by members of the laboratory. organizers were Stephan Ruscheweyh, Oliver Roth, Daniela Kraus (all from Würzburg), and Richard Seminars Fournier (Dawson College and CRM). Apart from Richard Fournier, there were five participants from e members of the Mathematical Analysis Laboratory ébec: Serge Dubuc, Paul Gauthier, Q. I. Rahman (all organize several seminars at four main locations. Laval from the Université de Montréal), and omas Rans- University hosts an Analysis Seminar, which featured ford and Javad Mashreghi (both from Université La- 16 talks in 2010 – 2011. Galia Dafni (Concordia Univer- val). Each of these five participants gave a lecture. Ilia sity), Alexander Shnirelman (Concordia University), Binder (from Toronto) and Eric Schippers (from Win- and Dmitry Jakobson (McGill University) jointly or- nipeg) also gave invited lectures. e organizers of the ganize the McGill/Concordia Analysis Seminar, which meeting also organized the “Tag der Funktionentheo-

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Richard Duncan (Montréal) Dmitry Korotkin (Concordia) Ergodic theory, martingale theory, probability theory Integrable systems, isomonodromic deformations, in Banach spaces classical and quantum gravity, Frobenius varieties Kohur Gowrisankaran (McGill) Nilima Nigam (Simon Fraser) Potential theory Applied analysis, numerical methods in electromag- Pengfei Guan (McGill) netism Partial differential equations, geometric analysis, sev- Yiannis N. Petridis (Univ. Coll. London) eral complex variables Automorphic forms and their spectral theory, analytic John Harnad (Concordia) number theory, spectral and scaering theory of man- Mathematical physics, classical and quantum physics, ifolds geometrical methods, integrable systems, group theo- Samuel Zaidman (Montréal) retical methods, random matrices, isomonodromic de- Functional analysis and differential equations in ab- formations, isospectral flows stract spaces, pseudo-differential operators Niky Kamran (McGill) Geometric approach to partial differential equations

Mathematical Physics

Description laboratory members were invited to give many lectures, were awarded many prizes and distinctions, and e mathematical physics group is one of the oldest organized many activities. We give here a sample of and most active at the CRM. It consists of 18 regu- these events. lar members, 9 local associate members, all full-time faculty members at one of the participating universi- • Syed Twareque Ali was co-organizer of the Interna- ties, and 5 external associate members working per- tional Workshop on the Mathematical Foundations of manently at universities and research laboratories in antum Mechanics, held at the IISER (Kolkata, In- Europe or the U.S. e group carries out research dia, in December 2010) and co-organizer of the XIV In- in many of the most active areas of mathematical ternational Workshop on Wavelets, antization and physics: coherent nonlinear systems in fluids, optics, Differential Equations (University of Havana, Febru- and plasmas; classical and quantum integrable sys- ary 21 – 25, 2011). tems; the spectral theory of random matrices; perco- • Marco Bertola was an invited speaker at the work- lation phenomena; conformal field theory; quantum shop on Integrable Systems in Pure and Applied Math- statistical mechanics; spectral and scaering theory ematics (Alghero, Italy, June 8 – 12, 2010) and an of random Schrödinger operators; quasi-crystals; rela- invited participant at the minisymposia “Nonlinear tivity; spectral transform methods; foundational ques- Waves in Integrable Systems II” and “Recent Advances tions in quantization; asymptotics of eigenstates; co- in Nonlinear Integrable Systems I” of the SIAM Con- herent states; wavelets; supersymmetry; the symmetry ference on Nonlinear Waves and Coherent Structures analysis of PDEs and difference equations; representa- (Philadelphia, August 2010). tion theory of Lie groups and quantum groups; and the mathematical structure of classical and quantum field • Robert Brandenberger currently holds a Killam Re- theories. search Fellowship (awarded for a period of two years starting in September 2009). He was awarded the 2011 News and highlights CAP/CRM Prize for Mathematical Physics. R. Bran- denberger gave numerous invited lectures and orga- In 2010 – 2011 Keshav Dasgupta, Robert Seiringer, and nized several workshops and conferences in Montréal Johannes Walcher became regular members of the (see below). He was also an organizer (among other Mathematical Physics Laboratory. (R. Seiringer is also events) of the Parallel Session B5 on eoretical and a member of the Mathematical Analysis Laboratory Mathematical Cosmology at GR-19 (Mexico City, July and J. Walcher a member of CIRGET.) During the year,

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5 – 9, 2010) and of the Focus Week on String Cosmol- eory 2011 and the Oberworlfach workshop on “Real ogy (IPMU, Tokyo, October 4 – 10, 2010). Enumerative estions in Complex and Tropical Ge- • Robert Conte helped organize the conference on ometry” (April 17 – 23, 2011). “Modélisation physique et numérique d’écoulements • Pavel Winternitz won the “Ceska Hlava” Prize and turbulents et multiphasiques” in Cargèse, France, on spoke at the special session on “Integrability and Non- September 13 – 17, 2010. integrability in Hamiltonian Systems” at the 7th Inter- • Bertrand Eynard was a plenary speaker at the STAT- national Conference on Differential Systems and Dy- PHYS 24 conference (Cairns, Australia, August 19 – 23, namical Systems (Tampa, Florida, December 15 – 18, 2010). 2010). P. Winternitz was also an organizer of three workshops, including SIDE 9 (Varna, Bulgaria, June • Alfred Michel Grundland was Visiting Researcher at 14 – 19, 2010). the École normale supérieure (CMLA) from June to Au- gust 2010. Students, postdoctoral fellows, and visitors • John Harnad was named Fellow of the Science Col- lege at Concordia University in January 2011. J. Har- In 2010 – 2011 the laboratory members supervised or nad gave numerous invited lectures in 2010 – 2011, cosupervised 16 M.Sc. students, 35 Ph.D. students, and including the opening plenary talk at the five-day 25 postdoctoral fellows. A complete list of fellows, stu- BIRS workshop entitled “New perspectives in univari- dents, and visitors can be found at the archived 2010 – ate and multivariate orthogonal polynomials” (October 2011 Laboratory web site. Here are some news of our 10 – 15, 2010). He also co-organized a five-day BIRS former fellows and students. Former doctoral student workshop entitled “Integrable and Stochastic Lapla- Oksana Yermolayeva (Marie Curie Fellow) received a cian Growth in Modern Mathematical Physics” (Octo- renewal of her Marie Curie Research Fellow position ber 31 – November 5, 2010). for 2010 – 2012 at Université Pierre et Marie Curie. Robert Buckingham was appointed to a tenure track • Jacques Hurtubise was an invited lecturer at the LMS position as Assistant Professor at the Syracuse Univer- Summer School in Leeds (in the summer of 2010). sity. Seung-Yeop Lee obtained a five-year appointment • Véronique Hussin gave three invited lectures in as Research Associate at the California Institute of 2010 – 2011 and co-organized the 28th International Technology. Dong Wang obtained a similar extended Colloquium on Group-eoretical Methods in Physics research appointment at the University of Michigan. (Northumbria University, July 26 – 30, 2010) and the Benjamin Young spent the period from September to workshop entitled “Supersymmetric antum Me- December 2010 as a Member of the Mathematical Sci- chanics and Spectral Design” (Benasque, Spain, July ences Research Institute in Berkeley, and has now an 18 – 30, 2010). extended postdoctoral appointment in Stockholm at the Royal Institute of Technology. Olivier Marchal, • Robert Seiringer was co-organizer of the joint who completed his doctorate in December 2010 un- semester on “Frontiers in Mathematical Physics” that der the joint supervision of J. Harnad, M. Bertola, and took place at Cergy, France, and the CRM (May 2 – 27, B. Eynard, obtained a postdoctoral position at the Uni- 2011 and July 1 – 29, 2011). He was also an organizer versity of Alberta (starting in January 2011). of the workshop entitled ¨¨Current Topics in Mathe- matical Physics” (Erwin-Schrödinger Institute, Vienna, Sarah Post, one of our postdoctoral fellows, gave a August 16 – 24, 2011). lecture on “Symmetry, Superintegrability and Special Functions” at the Conference in honor of Professor • Luc Vinet was made a Chevalier de l’Ordre de la Willard Miller, Jr.’s retirement (Minneapolis, Septem- Pléiade in 2010 and gave numerous invited lectures in ber 17 – 20, 2010). Ferenc Balogh won the Distin- Hong Kong, Spain, the Czech Republic, Ukraine and guished Doctoral Dissertation Prize in Engineering Japan. and Natural Sciences at Concordia University in 2011 • Johannes Walcher was awarded a Canada Research for his thesis carried out under the supervision of John Chair (Tier II) in Mathematical String eory at McGill Harnad. in May 2011. He was also an organizer of the CERN Winter School on Supergravity, Strings and Gauge

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Seminars Workshop Dark Maer from Every Direction e usual weekly Seminar Series in Mathematical April 1 – 3, 2011, McGill Physics took place at the CRM every Tuesday aer- Sponsored by the CRM, Lorne Troier, NSERC, and the noon from September 2010 to May 2011, with active Department of Physics of McGill University participation by members, visitors, postdoctoral fel- Organizers: Robert Brandenberger (McGill), Jim Cline lows, and students. e organizer during the 2010 – (McGill), Andrew R. Frey (McGill), Pat Sco (McGill) 2011 academic year was Yvan Saint-Aubin. Approx- imately half the talks were given by visiting invited Members of the Laboratory speakers, the rest by regular and associate Laboratory members, postdoctoral fellows, and visitors. In ad- Regular members dition, the Working Seminar on Integrable Systems, John Harnad (Concordia), Director Random Matrices, and Random Processes continued, Mathematical physics, classical and quantum physics, taking place again every ursday aernoon at Con- geometrical methods, integrable systems, group theo- cordia, with active participation of many Laboratory retical methods, random matrices, isomonodromic de- members, postdoctoral fellows, students, and visitors. formations, isospectral flows e organizer in 2010 – 2011 was Tiago Dinis da Fon- seca (CRM). Details about these seminar series for Syed Twareque Ali (Concordia) 2010 – 2011 can be found at the archived 2010 – 2011 Coherent states, wavelets, quantization techniques, Laboratory web site. harmonic analysis, Wigner functions Marco Bertola (Concordia) Workshops and Special Sessions Axiomatic quantum field theory, invariant theory of discrete groups, random matrices, isomonodromic de- e following events were organized in part by mem- formations bers of the Mathematical Physics Laboratory. eir re- Robert Brandenberger (McGill) ports can be found in the section General Program. eoretical Cosmology Conference Keshav Dasgupta (McGill) Strong and Electroweak Maer 2010 Heavy ion collision theory in the energy range June 29 – July 2, 2010 30MeV/nucleon to many GeV/nucleon Sponsored by the Department of Physics of McGill Alfred Michel Grundland (UQTR) University, the Perimeter Institute for eoretical Symmetry of differential equations in physics Physics, the Institute of Particle Physics, the Canadian Institute of Nuclear Physics, the CRM, and the Mathe- Richard L. Hall (Concordia) matical Physics Laboratory Spectra of Schrödinger, Klein-Gordon, Dirac and Local Organizing Commiee (McGill): Robert Bran- Salpeter operators, many-body problems, relativis- denberger, Jim Cline, Keshav Dasgupta, Charles Gale, tic scaering theory, iterative solution to ODEs and Sangyong Jeon, Alex Maloney, Guy Moore, Alejandra boundary-value problems Castro, Andrew Frey, Omid Saremi, Bjoern Schenke, Jacques Hurtubise (McGill) Marcus Tassler, Bret Underwood Algebraic geometry, integrable systems, gauge theory, Colloquium on Surfaces and Representations moduli spaces October 6 – 9, 2010, Université de Sherbrooke Véronique Hussin (Montréal) Sponsored by the Université de Sherbrooke, the Group theory, Lie algebras and applications in physics, CRM, the ISM, and the RECSUS (Regroupement des supersymmetries in classical and quantum mechanics Étudiants-Chercheurs en Sciences de l’Université de Dmitry Korotkin (Concordia) Sherbrooke) Integrable systems, isomonodromic deformations, Organizers: Ibrahim Assem (Sherbrooke), omas classical and quantum gravity, Frobenius varieties Brüstle (Sherbrooke & Bishop’s), Virginie Charee Pierre Mathieu (Laval) (Sherbrooke), Tomasz Kaczynski (Sherbrooke), Chris- Conformal field theory, classical and quantum inte- tian Mercat (Montpellier 2), Jean-Philippe Morin (Sher- grable systems, affine Lie algebras brooke), Vasilisa Shramchenko (Sherbrooke)

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Manu Paranjape (Montréal) Bertrand Eynard (CEA/Saclay) eoretical particle physics: field theory, solitons, Matrix models, integrable systems, string theory, re- noncommutative geometry, alternative gravity lationship between matrix models, integrability, and Jiří Patera (Montréal) algebraic geometry Applications of group theory, quasi-crystals, Lie alge- Jean-Pierre Gazeau (Paris Diderot) bras Coherent states, wavelets, relativistic quantum frames, Yvan Saint-Aubin (Montréal) symmetry groups for beta-laices Conformal field theory, statistical mechanics, 2-di- Alexander Its (IUPUI) mensional phase transition model Soliton theory, integrable systems, special functions, Robert Seiringer (McGill) mathematical physics antum many-body systems, Bose–Einstein conden- Dmitry Jakobson (McGill) sates, Ginzburg–Landau theory, Gross-Pitaevskii the- Pure mathematics, global analysis, spectral geometry, ory, bosons quantum chaos, harmonic analysis, eigenvalues and Vasilisa Shramchenko (Sherbrooke) eigenfunctions Frobenius manifolds, integrable systems, Riemann– Vojkan Jakšić (McGill) Hilbert problems, isomonodromic deformations of sys- Mathematical physics, quantum statistical mechanics, tems of linear differential equations, function theory random Schrödinger operators on Riemann surfaces Niky Kamran (McGill) Luc Vinet (Montréal) Geometric approach to partial differential equations Symmetry properties of systems, special functions François Lalonde (Montréal) Johannes Walcher (McGill) Symplectic topology and geometry, global analysis on Mirror symmetry for open strings, nongeometric manifolds, Hamiltonian systems string compactifications Decio Levi (Roma Tre) Pavel Winternitz (Montréal) Symmetries of differential and difference equations, Methods of group theory in physics, nonlinear phe- integrable nonlinear equations on the laice and re- nomena, symmetries of difference equations, superin- ductive perturbation theory on the laice tegrability Alexander Shnirelman (Concordia) Applications of geometrical analysis to fluids and Associate members “weak” solutions of the Euler and Navier-Stokes equa- Robert Conte (CEA/Saclay) tions Integrable and partially integrable systems, Painlevé John A. Toth (McGill) analysis, exact solutions, finite difference equations Spectral theory, semi-classical analysis, microlocal Chris Cummins (Concordia) analysis, Hamiltonian mechanics Group theory, modular functions, moonshine Carolyne M. Van Vliet (Montréal & Miami) Stéphane Durand (Édouard-Montpetit) Non-equilibrium statistical mechanics, fluctuations Classical and quantum physics, mathematical physics, and stochastic processes, quantum transport in con- symmetries, parasupersymmetries, fractional super- densed maer, electronic behavior in submicron quan- symmetries, KdV equations, quantum mechanics, rel- tum devices ativity

PhysNum

Description research in medical imaging and pharmacokinetics. e researchers whose ﬁeld is medical imaging take e PhysNum laboratory was created by physi- part in the activities of the Laboratoire International cists (hence its acronym, which means “Physique de Neuroimagerie et Modélisation (LINeM), which was numérique”). At the present time its members conduct created in 2008 by three institutions: the Institut na-

86 R L tional de la santé et de la recherche médicale (Inserm), • Development and use of global sensitivity ap- the Université Pierre et Marie Curie, and the Univer- proaches for PBPK models. sité de Montréal. In particular, PhysNum researchers have ongoing collaborations with researchers from the News and highlights Centre de recherche de l’Institut universitaire de géri- atrie de Montréal (CRIUGM) and from Unité UMR-S e links between PhysNum and the Odyssée group (at 678 (Inserm). e goal of LINeM is to develop the best INRIA Sophia Antipolis) have been reinforced through mathematical models and tools in diverse areas of neu- a French Government grant to foster the collabora- roimaging. Here are the topics studied by LINeM re- tion with PhysNum members (in particular J.-M. Lina, searchers: M. Descoteaux, and C. Grova). Here is a list of the • Physiological and biochemical sources of functional current research areas of the medical imaging group: brain imaging signals; multimodal imaging of the spinal cord (H. Benali and • Cerebral activation networks; F. Lesage); multiresolution and multimodal imaging in • Haemodynamic responses in optical imaging; magneto-electrophysiology (J.-M. Lina and C. Grova); • Inverse problems and wavelets; models of anatomical and functional connectivity • Functional neuroanatomy of the spinal cord; (H. Benali and M. Descoteaux); neuro-vascular mod- • Intrinsic optical imaging of the spinal cord and the els in epilepsy (C. Grova and H. Benali); inverse prob- brain and data analysis; lems and wavelets (J.-M. Lina); parsimonious sampling • antitative imaging of aging; and (M. Descoteaux, F. Lesage, and J.-M. Lina). • Seizure prediction for epileptic patients with im- In 2010 – 2011 Fahima Nekka’s group was working plants. on pharmacometrics of drug intake behaviour, PK/PD Fahima Nekka and her team conduct research in phar- modelling in presence of drug intake variability, phys- macometrics, a discipline whose goal is to interpret iologically based pharmacokinetics (PBPK) modelling, and describe pharmacological phenomena in a quanti- and the relationship between drug efficacy guidelines tative manner. Pharmacometrics consists of the study established under in vitro conditions and the variabil- of measurement, regression analysis (data fiing), and ity observed in vivo. Fahima Nekka is the coauthor system reproduction (modelling and simulation) for of two presentations at the American Conference on the estimation, evaluation, understanding, and predic- Pharmacometrics 2011, which took place in San Diego, tion of pharmaceutical processes in terms of their gen- California, in April 2011. eral trends and variability. Students Within this area, Fahima Nekka’s group is working on the efficient integration of different drug-related In 2010 – 2011 the members of PhysNum supervised aspects and mechanisms. e group’s modelling ap- or cosupervised 22 M.Sc. students, 12 Ph.D. students, proach, whether driven by hypotheses or data, aims to and 6 postdoctoral fellows. A. Blanc, a student at increase our understanding and to explain the complex the École Polytechnique (France), did an internship in relationship between drugs and living systems. e Montréal under the supervision of C. Grova and J.- team is working on the following topics: M. Lina. G. Girard, a master’s student working with • Compliance metrics and ranking; M. Descoteaux at the Université de Sherbrooke, is the • Metrics to evaluate the clinical impact of variable ambassador of the FiberNavigator soware, a tool for drug intake behaviour; brain surgery and the study of brain connectivity. • Pharmacometrics and mechanistic modelling in ani- mal drug use; Members of the Laboratory • Objective evaluation of a treatment efficacy through the extension of classical breakpoint estimation Regular members methods to the case of variable pharmacokinetic pro- Jean-Marc Lina (ÉTS), Director files; Wavelets, statistical modelling and brain imaging, ma- • Development of physiology-based pharmacokinetic chine learning (PBPK) models to predict drug-drug interactions; and

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Alain Arnéodo (ÉNS Lyon & CNRS) spikes using distributed sources modelling, and mul- Fractals and wavelets timodal analysis of EEG source localization and simul- Habib Benali (UPMC) taneous EEG-fMRI data analysis antitative analysis in brain imaging, medical imag- Frédéric Lesage (Polytechnique Montréal) ing and multimodal systems Conformal theory, integrable systems, inverse prob- Maxime Descoteaux (Sherbrooke) lems, optical imaging Medical imaging, image analysis and processing, com- Fahima Nekka (Montréal) puter vision, applied mathematics Pharmacokinetics, development of mathematical tools Christophe Grova (McGill) from fractal geometry and harmonic analysis for ex- Statistical signal processing, localization of epileptic tracting information, applications to pharmacology and medicine

Statistics Description News and highlights

Statistics is central to many endeavours in society. Many Laboratory members have been honoured in Be it through surveys from sampling, clinical trials to 2010 – 2011. Christian Genest has been awarded a study various biomedical treatments, or experimental Canada Research Chair in Stochatic Dependence Mod- designs in agriculture or industry, statistical method- elling and the Gold Medal of the Statistical Society of ology can be found everywhere in science. Recently, Canada. is medal was awarded because of his con- statistics has undergone a revolution in its techniques tributions to multivariate analysis and nonparametric and approaches. is revolution has been driven by statistics, especially through the “development of mod- the need to analyze very large data sets and data with els and methods of inference for studying stochastic more complex structure, and by the advent of power- dependence, synthesizing expert judgments and multi- ful computers. For example, statistical methodology is criteria decision making, as well as for his applica- now addressing problems whose structure is very com- tions thereof in various fields such as insurance, fi- plex, such as the analysis of brain images or genome nance, and hydrology” (SSC citation). Yoshua Bengio data, and new methodology is being developed, such was awarded the NSERC-Ubiso industrial chair and as data mining, for large data sets. David Stephens was named a James McGill Professor One of the aims of the Laboratory is to structure the in 2010 – 2011. Louis-Paul Rivest became the first hon- ébec statistical community so that it can participate orary member of the Association des statisticiens et sta- in this revolution at a time when an important renewal tisticiennes du ébec in recognition of his contribution of academic personnel is taking place. is structure to the development of statistics. allows the ébec community to benefit from a re- Members of the Statistics Laboratory continue to be cently created Canada-wide program for complex data influential in the statistical community. Christian structures (NICDS), organized by the three Canadian Léger was elected President of the Statistical Society mathematics institutes. e Laboratory is formed of of Canada for 2012 – 2013. Fabrice Larribe was invited the leaders of the ébec school of statistics, who work to give a lecture at the 73th Annual Meeting of the In- on topics such as statistical learning and neural net- stitute of Mathematical Statistics in Gothenburg (Swe- works, survey sampling, analysis of functional data, den). Brenda MacGibbon gave an invited lecture at “A statistical analysis of images, dependence structures, Conference in Honor of Larry Brown’s 70th Birthday” Bayesian analysis, analysis of time series and finan- (held at the Wharton School of the University of Penn- cial data, and resampling methods. Actuarial science sylvania). Christian Genest and Johanna Nešlehová and applied probability are also well represented in the have organized training workshops on the use of cop- Statistics Laboratory. ulas for the modelling of financial data in ébec City, Montréal, Paris, and Prague. Each workshop consisted of courses (lasting from 12 to 16 hours in total) and was aended by 20 to 30 participants. J. Nešlehová has just

88 R L been elected a member of the International Statistical workshops in 2010 – 2011. e report on the first one Institute. may be found in the section on the CRM general pro- is year the Statistics Laboratory welcomed three gram and the reports on the three other workshops in new associate members (all of which are professors the section Multidisciplinary and Industrial Program. at UQAM): Simon Guilloe, Jean-François Renaud, Colloquium and Jean-Philippe Boucher. S. Guilloe’s advisor was Contemporary Statistical Methodology François Perron (from the Université de Montréal). He October 6 – 7, 2010, Université de Sherbrooke had a position in Prince Edward Island before coming Sponsored by the Statistics Laboratory, the ISM, and back to Montréal. J.-F. Renaud’s advisor was Bruno the Université de Sherbrooke Rémillard. He was a postdoctoral fellow in Austria and Organizers: Éric Marchand (Sherbrooke), Ernest then a professor at the University of Waterloo before Monga (Sherbrooke), Gilles Ducharme (Montpellier 2) coming back to Montréal. Workshop Missing Data Approaches in the Health and Social Sci- Students, postdoctoral fellows, and visitors ences: A Modern Survey October 22, 2010, UQAM Laboratory members are deeply involved in the train- Sponsored by the Statistics Laboratory ing of HQP. is year at least 10 students obtained Organizers: Geneviève Lefebvre (UQAM), Russell their doctorate degree. Vahid Partovi Nia, a postdoc- Steele (McGill) toral fellow supervised by David Stephens and Masoud 1st ébec – Ontario Workshop on Insurance Mathemat- Asgharian, is now a professor at the École Polytech- ics nique de Montréal. Approximately 25 laboratory stu- January 28, 2011, UQAM dents have obtained a master’s degree and are now Sponsored by the Statistics Laboratory, the CRM, the working in the public service, research centres, or in- ISM, UQAM, and the MITACS network dustry. A Case Studies Award was given by the Sta- Organizers: Andrei L. Badescu (Toronto), David Lan- tistical Society of Canada to the students Zhihui Liu, driault (Waterloo), Manuel Morales (Montréal), Jean- Mireille Schnitzer, and Esther Perez Trejo, who worked François Renaud (UQAM) under the supervision of Professors Robert Pla, Au- rélie Labbe, and James Hanley. MITACS Day on the Practice of Actuarial Science (Fin- surance Project) In 2010 – 2011 Laboratory members supervised or co- March 16, 2011, Université de Montréal (Department supervised 79 M.Sc. students, 66 Ph.D. students, and 9 of Mathematics and Statistics) postdoctoral fellows. Sponsored by the Statistics Laboratory, the CRM, and the MITACS network Seminars Organizers: Jean-François Angers (Montréal), Manuel Morales (Montréal) e scientific life of the Laboratory revolves around the weekly CRM – ISM – GERAD Statistics Colloquium Members of the Laboratory in Montréal, the Statistics Seminar at Université Laval in ébec, and the Université de Sherbrooke Statistics Regular members Seminar in Sherbrooke. e Statistics Laboratory also supports the Montreal Seminar of Actuarial and Finan- Louis-Paul Rivest (Laval), Director cial Mathematics and the McGill – Université de Mont- Linear models, robustness, directional data, sampling, réal – MPrime Machine Learning Seminar. applications in finance Belkacem Abdous (Laval) Workshops, special sessions, and others Biostatistics, health research methodology, construction and validation of measuring tools in the health From January to June 2011 the CRM held a thematic sector program on statistics that included seven workshops Jean-François Angers (Montréal) (among other activities). We refer the reader to the sec- Decision theory, Bayesian statistics, robustness with tion on the CRM thematic program for reports on these respect to prior information, function estimation activities. In addition the Laboratory sponsored four

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Masoud Asgharian (McGill) Éric Marchand (Sherbrooke) Survival analysis, change-point problems, simulated Statistical inference, Bayesian statistics, multivariate annealing and its variants, optimization analysis and probability Yoshua Bengio (Montréal) Alejandro Murua (Montréal) Statistical learning algorithms, neural networks, nu- Data mining, machine learning, object recognition, cleus models, probabilistic models, data mining, appli- signal processing, and various applications of statistics cations in finance and statistical language modelling and probability to bioinformatics and the social and Martin Bilodeau (Montréal) health sciences Multivariate analysis, decision theory, asymptotic François Perron (Montréal) methods Decision theory, multidimensional data analysis, Yogendra P. Chaubey (Concordia) Bayesian statistics Sampling, linear models, resampling, survival analysis James Ramsay (McGill) Pierre Duchesne (Montréal) Functional data analysis, smoothing and nonparamet- Time series, sampling, multivariate analysis ric regression, curve registration ierry Duchesne (Laval) Bruno Rémillard (HEC Montréal) Survival analysis, longitudinal data analysis, missing Probability theory, empirical processes, time series, data, modelling of losses, insurance of catastrophic nonlinear filtering, applications in finance incidents, nonparametric inference, model selection, Roch Roy (Montréal) warranty Time series analysis, predictive methods, applications Charles Dugas (Montréal) in econometrics and epidemiology Actuarial science, finance, learning algorithms, neural Arusharka Sen (Concordia) networks, universal approximation, survival analysis Statistical inference of truncated data, nonparametric Debbie J. Dupuis (HEC Montréal) function estimation Extreme values, robustness Russell Steele (McGill) Sorana Froda (UQAM) Bayesian approaches to mixing modelling, multiple Nonparametric methods in function estimation, ap- imputation plications of stochastic modelling in biology and David Stephens (McGill) medicine Bayesian statistics, Markov Chain Monte Carlo and ap- Christian Genest (Laval) plications to bioinformatics, statistical genetics, and Multidimensional data analysis, dependence measures, time series analysis nonparametric statistics, decision theory, applications Wei Sun (Concordia) in actuarial science, finance and psychology Nonlinear filtering and its applications, stochastic Nadia Ghazzali (Laval) analysis, statistical inference, stochastic modelling Multidimensional data analysis, neural networks and Alain C. Vandal (McGill) genetic algorithms, applications in astrophysics and Biostatistics, nonparametric survival estimation and biostatistics graph theory, imaging, capture-recapture models Aurélie Labbe (Laval) David B. Wolfson (McGill) Biostatistics and statistical genetics Change-point problems, survival analysis, Bayesian Fabrice Larribe (UQAM) statistics, optimal design, applications in medicine Statistical genetics and biostatistics Christian Léger (Montréal) Resampling methods, adaptive estimation, model selection, robustness, applications in data mining Brenda MacGibbon (UQAM) Mathematical statistics, decision theory, biostatistics

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Associate members Geneviève Lefebvre (UQAM) Bayesian and computational statistics, biostatistics Juli Atherton (McGill) Biostatistics, optimal Bayesian design, change-point Erica Moodie (McGill) problems, survival analysis, applications to genetics Causal inference, optimal dynamic treatment regimes, longitudinal data, dose-response relationships Mylène Bédard (Montréal) Optimal scaling, Metropolis-Hastings algorithms Manuel Morales (Montréal) Mathematical ﬁnance, applied stochastic processes, Anne-Catherine Favre (Laval) ruin theory, actuarial science, Lévy processes, math- Statistical hydrology, analysis and modelling of time ematics of insurance series Johanna Nešlehová (McGill) José Garrido (Concordia) Multivariate analysis, dependence modelling, non- Risk theory, insurance statistics parametric and asymptotic statistics, multivariate ex- David Haziza (Montréal) treme value theory, empirical processes, applications Sampling theory, inference with missing data, robust to biostatistics, neuroscience and risk management inference Robert Platt (McGill) Lajmi Lakhal Chaïeb (Laval) Biostatistics and statistical methods for pediatric and Multidimensional analysis of survival data, analysis of perinatal epidemiology. recurrent events, semi-parametric models and incom- Lea Popovic (Concordia) plete data Probability theory and its applications to evolutionary biology, population genetics, and cell biology

91 Publications P

 CRM publishes monographs, lecture notes, proceedings, soware, videos, and research reports. It has T several collections. e in-house collection (Les Publications CRM) oﬀers titles in both English and French. e CRM also has publishing agreements with the American Mathematical Society (AMS) and Springer. Since 1992, two collections, edited by the CRM, have been published and distributed by the AMS. ey are the CRM Monograph Series and the CRM Proceedings and Lecture Notes. Springer publishes the CRM Series in Mathematical Physics. An asterisk preceding a publication indicates that its author is an Aisenstadt chairholder.

Recent Titles

e following list of recent titles contains books that Bradd Hart, omas G. Kucera, Anand Pillay, Philip J. appeared in 2010 – 2011 or that will be published soon. Sco & Robert A. G. Seely (eds.), Models, Logics, and Higher-Dimensional Categories, vol. 53, 2011. American Mathematical Society Dmitry Jakobson, Stéphane Nonnenmacher & Iosif CRM Monograph Series Polterovich (eds.), Spectrum and Dynamics, vol. 52, Joseph H. Silverman, Moduli Spaces and Arithmetic Dy- 2010. namics (to appear). Springer Marcelo Aguiar & Swapneel Mahajan, Monoidal Cate- CRM Series in Mathematical Physics gories, Species and Hopf Algebras, vol 29, 2010. John Harnad (ed.), Random Matrices, Random Processes American Mathematical Society and Integrable Systems, 2011. CRM Proceedings & Lecture Notes Daniel Daigle, Richard Ganong & Mariusz Koras (eds.), Aﬃne Algebraic Geometry: e Russell Festschri (to appear).

Previous Titles

American Mathematical Society Montserrat Alsina & Pilar Bayer, aternion Orders, CRM Monograph Series adratic Forms, and Shimura Curves, vol. 22, 2004. Saugata Ghosh, Skew-Orthogonal Polynomials and Ran- Andrei Tyurin, antization, Classical and antum dom Matrix eory, vol. 28, 2009. Field eory and eta Functions, vol. 21, 2003. Jean Berstel, Aaron Lauve, Christophe Reutenauer & Joel Feldman, Horst Knörrer & Eugene Trubowitz, Rie- Franco V. Saliola, Combinatorics on Words: Christoffel mann Surfaces of Infinite Genus, vol. 20, 2003. Words and Repetitions in Words, vol. 27, 2008. *Laurent Lafforgue, Chirurgie des grassmanniennes, Victor Guillemin & Reyer Sjamaar, Convexity Proper- vol. 19, 2003. ties of Hamiltonian Group Actions, vol. 26, 2005. *George Lusztig, Hecke Algebras with Unequal Param- *Andrew J. Majda, Rafail V. Abramov & Marcus J. eters, vol. 18, 2003. Grote, Information eory and Stochastics for Multiscale Michael Barr, Acyclic Models, vol. 17, 2002. Nonlinear Systems, vol. 25, 2005. *Joel Feldman, Horst Knörrer & Eugene Trubowitz, Dana Schlomiuk, Andrei A. Bolibrukh, Sergei Yako- Fermionic Functional Integrals and the Renormalization venko, Vadim Kaloshin & Alexandru Buium, On Finite- Group, vol. 16, 2002. ness in Differential Equations and Diophantine Geome- Jose I. Burgos, e Regulators of Beilinson and Borel, try, vol. 24, 2005. vol. 15, 2002. Prakash Panangaden & Franck van Breugel (eds.), Eyal Z. Goren, Lectures on Hilbert Modular Varieties and Mathematical Techniques for Analyzing Concurrent and Modular Forms, vol. 14, 2002. Probabilistic Systems, vol. 23, 2004.

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Michael Baake & Robert V. Moody (eds.), Directions in Jean-Marie De Koninck, Andrew Granville & Florian Mathematical asicrystals, vol. 13, 2000. Luca (eds.), Anatomy of Integers, vol. 46, 2008. Masayoshi Miyanishi, Open Algebraic Surfaces, vol. 12, Panos M. Pardalos & Pierre Hansen (eds.), Data Mining 2001. and Mathematical Programming, vol. 45, 2008. Spencer J. Bloch, Higher Regulators, Algebraic K- Stanley Alama, Lia Bronsard & Peter Sternberg (eds.), eory, and Zeta Functions of Elliptic Curves, vol. 11, Singularities in PDE and the Calculus of Variations, 2000. vol. 44, 2007. James D. Lewis, A Survey of the Hodge Conjecture, 2nd Andrew Granville, Melvyn B. Nathanson & Jozsef edition, vol. 10, 1999 (with an appendix from B. Brent Solymosi (eds.), Additive Combinatorics, vol. 43, 2007. Gordon). Donald A. Dawson, Vojkan Jakšić & Boris Vain- *Yves Meyer, Wavelets, Vibrations and Scaling, vol. 9, berg (eds.), Probability and Mathematical Physics: A 1997. Volume in Honor of Stanislav Molchanov, vol. 42, 2007. *Ioannis Karatzas, Lectures on Mathematics of Finance, André Bandrauk, Michel C. Delfour & Claude vol. 8, 1996. Le Bris (eds.), High-Dimensional Partial Diﬀerential John Milton, Dynamics of Small Neural Populations, Equations in Science and Engineering, vol. 41, 2007. vol. 7, 1996. Vestislav Apostolov, Andrew Dancer, Nigel Hitchin *Eugene B. Dynkin, An Introduction to Branching & McKenzie Wang (eds.), Perspectives in Comparison, Measure-Valued Processes, vol. 6, 1994. Generalized and Special Geometry, vol. 40, 2006. Andrew M. Bruckner, Diﬀerentiation of Real Functions, Pavel Winternitz, David Gomez-Ullate, Arieh Iserles, vol. 5, 1994. Decio Levi, Peter J. Olver, Reinout ispel & Piergiulio Tempesta (eds.), Group eory and Numerical Analysis, *David Ruelle, Dynamical Zeta Functions for Piecewise vol. 39, 2005. Monotone Maps of the Interval, vol. 4, 1994. Jacques Hurtubise & Eyal Markman (eds.), Algebraic V. Kumar Murty, Introduction to Abelian Varieties, Structures and Moduli Spaces, vol. 38, 2004. vol. 3, 1993. Piergiulio Tempesta, Pavel Winternitz, John Harnad, Maximilian Ya. Antimirov, Andrei A. Kolyshkin & Willard Miller Jr., George Pogosyan & Miguel A. Ro- Rémi Vaillancourt, Applied Integral Transforms, vol. 2, driguez (eds.), Superintegrability in Classical and an- 1993. tum Systems, vol. 37, 2004. *Dan V. Voiculescu, Kenneth J. Dykema & Alexandru Hershy Kisilevsky & Eyal Z. Goren (eds.), Number e- Nica, Free Random Variables, vol. 1, 1992. ory, vol. 36, 2004. American Mathematical Society H. E. A. Eddy Campbell & David L. Wehlau (eds.), In- CRM Proceedings & Lecture Notes variant eory in All Characteristics, vol. 35, 2004. Pavel Winternitz, John Harnad, C. S. Lam & Jiří Pat- Javad Mashreghi, omas Ransford & Kristian era (eds.), Symmetry in Physics, vol. 34, 2004. Siep (eds.), Hilbert Spaces of Analytic Functions, vol. 51, 2010. André D. Bandrauk, Michel C. Delfour & Claude Le Bris (eds.), antum Control: Mathematical and Nu- P. Robert Kotiuga (ed.), A Celebration of the Mathemat- merical Challenges, vol. 33, 2003. ical Legacy of Raoul Bo, vol. 50, 2009. Vadim B. Kuznetsov (ed.), e Kowalevski Property, Miguel Abreu, François Lalonde & Leonid Poltero- vol. 32, 2002. vich (eds.), New Perspectives and Challenges in Symplec- tic Field eory, vol. 49, 2009. John Harnad & Alexander R. Its (eds.), Isomonodromic Deformations and Applications in Physics, vol. 31, 2002. David Avis, David Bremner & Antoine Deza (eds.), Polyhedral Computation, vol. 48, 2009. John McKay & Abdellah Sebbar (eds.), Proceedings on Moonshine and Related Topics, vol. 30, 2001. John Harnad & Pavel Winternitz (eds.), Groups and Symmetries: From Neolithic Scots to John McKay, Alan Coley, Decio Levi, Robert Milson, Colin Rogers & vol. 47, 2009. Pavel Winternitz (eds.), Bäcklund and Darboux Trans- formations, vol. 29, 2001.

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John C. Taylor (ed.), Topics in Probability and Lie Joel S. Feldman, Richard Froese & Lon M. Rosen (eds.), Groups: Boundary eory, vol. 28, 2001. Mathematical antum eory II: Schrödinger Opera- Israel M. Sigal & Catherine Sulem (eds.), Nonlinear Dy- tor, vol. 8, 1995. namics and Renormalization Group, vol. 27, 2001. Joel S. Feldman, Richard Froese & Lon M. Rosen (eds.), John Harnad, Gert Sabidussi & Pavel Winternitz (eds.), Mathematical antum eory I: Field eory and Integrable Systems: From Classical to antum, vol. 26, Many-Body eory, vol. 7, 1994. 2000. Guido Mislin (ed.), e Hilton Symposium 1993, vol. 6, Decio Levi & Orlando Ragnisco (eds.), SIDE III — 1994. Symmetry and Integrability of Difference Equations, Donald A. Dawson (ed.), Measure-Valued Processes, vol. 25, 2000. Stochastic Partial Differential Equations and Interacting B. Brent Gordon, James D. Lewis, Stefan Müller-Stach, Systems, vol. 5, 1994. Shuji Saito & Noriko Yui (eds.), e Arithmetic and Ge- Hershy Kisilevsky & M. Ram Murty (eds.), Elliptic ometry of Algebraic Cycles, vol. 24, 2000. Curves and Related Topics, vol. 4, 1994. Pierre Hansen & Odile Marcoe (eds.), Graph Colour- Andrei L. Smirnov & Rémi Vaillancourt (eds.), Asymp- ing and Applications, vol. 23, 1999. totic Methods in Mechanics, vol. 3, 1993. Jan Felipe van Diejen & Luc Vinet (eds.), Algebraic Philip D. Loewen, Optimal Control via Nonsmooth Methods and q-Special Functions, vol. 22, 1999. Analysis, vol. 2, 1993. Michel Fortin (ed.), Plates and Shells, vol. 21, 1999. M. Ram Murty (ed.), eta Functions, vol. 1, 1993. Katie Coughlin (ed.), Semi-Analytic Methods for the Navier – Stokes Equations, vol. 20, 1999. Springer CRM Series in Mathematical Physics Rajiv Gupta & Kenneth S. Williams (eds.), Number e- ory, vol. 19, 1999. Marc iriet, Biology and Mechanics of Blood Flows, Serge Dubuc & Gilles Deslauriers (eds.), Spline Func- 2008 (2 volumes). tions and the eory of Wavelets, vol. 18, 1999. David Sénéchal, André-Marie Tremblay & Claude Olga Kharlampovich (ed.), Summer School in Group Bourbonnais (eds.), eoretical Methods for Strongly eory in Banff, 1996, vol. 17, 1998. Correlated Electrons, 2003. Alain Vincent (ed.), Numerical Methods in Fluid Me- *Roman Jackiw, Lectures on Fluid Dynamics, 2002. chanics, vol. 16, 1998. Yvan Saint-Aubin & Luc Vinet (eds.), eoretical François Lalonde (ed.), Geometry, Topology and Dy- Physics at the End of the Twentieth Century, 2001. namics, vol. 15, 1998. Yvan Saint-Aubin & Luc Vinet (eds.), Algebraic Meth- John Harnad & Alex Kasman (eds.), e Bispectral Prob- ods in Physics, 2000. lem, vol. 14, 1998. Jan Felipe van Diejen & Luc Vinet (eds.), Calogero – Michel Delfour (ed.), Boundaries, Interfaces and Transi- Moser – Sutherland Models, 1999. tions, vol. 13, 1998. Robert Conte (ed.), e Painlevé Property, 1999. Peter G. Greiner, Victor Ivrii, Luis A. Seco & Catherine Richard MacKenzie, Manu B. Paranjape & Woj- Sulem (eds.), Partial Differential Equations and their ciech J. M. Zakrzewski (eds.), Solitons, 1999. Applications, vol. 12, 1997. Luc Vinet & Gordon Semenoff (eds.), Particles and Luc Vinet (ed.), Advances in Mathematical Sciences: Fields, 1998. CRM’s 25 Years, vol. 11, 1997. Donald E. Knuth, Stable Marriage and Its Relation to Springer Other Combinatorial Problems, vol. 10, 1996. Lecture Notes in Statistics (subseries CRM) Decio Levi, Luc Vinet & Pavel Winternitz (eds.), Sym- Marc Moore (ed.), Spatial Statistics: Methodological As- metries and Integrability of Difference Equations, vol. 9, pects and Applications, vol. 159, 2001. 1995. S. Ejaz Ahmed & Nancy Reid (eds.), Empirical Bayes and Likelihood Inference, vol. 148, 2001.

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Les Publications CRM Robert Bédard, Groupes linéaires algébriques, 1991. Laurent Guieu & Claude Roger, L’Algèbre et le Groupe Rudolf Beran & Gilles R. Ducharme, Asymptotic eory de Virasoro, 2007. for Bootstrap Methods in Statistics, 1991. Luc Lapointe, Ge Mo-Lin, Yvan Saint-Aubin & Luc James D. Lewis, A Survey of the Hodge Conjecture, 1991. Vinet, Proceedings of the Canada – China Meeting on David W. Rand & Tatiana Patera, Concorder, 1991 (so- eoretical Physics, 2003. ware and user guide). Armel Mercier, Fonctions de plusieurs variables : Diffé- David W. Rand & Tatiana Patera, Le Concordeur, 1991 rentiation, 2002. (soware and user guide). Nadia El-Mabrouk, omas Lengauer & David Véronique Hussin (ed.), Lie eory, Differential Equa- Sankoff (eds.), Currents in Computational Molecular tions and Representation eory, 1990. Biology, 2001. John Harnad & Jerrold E. Marsden (eds.), Hamiltonian James G. Huard & Kenneth S. Williams (eds.), e Col- Systems, Transformation Groups and Spectral Trans- lected Papers of Sarvadaman Chowla. Volume I: 1925 – form Methods, 1990. 1935; Volume II: 1936 – 1961; Volume III: 1962 – 1986, M. Ram Murty (ed.), Automorphic Forms and Analytic 2000. Number eory, 1990. Michael Barr & Charles Wells, Category eory for Wendy G. McKay, Jiří Patera & David W. Rand, Tables Computing Science, 1999. of Representations of Simple Lie Algebras. Volume I: Ex- Maximilian Ya. Antimirov, Andrei A. Kolyshkin & ceptional Simple Lie Algebras, 1990. Rémi Vaillancourt, Mathematical Models for Eddy Cur- Anthony W. Knapp, Representations of Real Reductive rent Testing, 1998. Groups, 1990. Xavier Fernique, Fonctions aléatoires gaussiennes, vec- Wendy G. McKay, Jiří Patera & David W. Rand, Sim- teurs aléatoires gaussiens, 1997. pLie, 1990 (soware and user guide). Faqir Khanna & Luc Vinet (eds.), Field eory, Inte- Francis H. Clarke, Optimization and Nonsmooth Anal- grable Systems and Symmetries, 1997. ysis, Montréal, 1989. Paul Koosis, Leçons sur le théorème de Beurling et Mal- Samuel Zaidman, Une Introduction à la théorie des équa- liavin, 1996. tions aux dérivées partielles, 1989. David W. Rand, Concorder Version ree, 1996 (so- *Yuri I. Manin, antum Groups and Noncommutative ware and user guide). Geometry, 1988. Jacques Gauvin, eory of Nonconvex Programming, Lucien Le Cam, Notes on Asymptotic Methods in Statis- 1994. tical Decision eory, 1974. Decio Levi, Curtis R. Menyuk & Pavel Winter- nitz (eds.), Self-Similarity in Stimulated Raman Scaer- Les Presses de l’Université de Montréal ing, 1994. Chaire Aisenstadt Rémi Vaillancourt, Compléments de mathématiques *Laurent Schwartz, Semimartingales and their Stochas- pour ingénieurs, 1993. tic Calculus on Manifolds, 1984. Robert P. Langlands & Dinakar Ramakrishnan (eds.), *Yuval Ne′eman, Symétries, jauges et variétés de groupe, e Zeta Functions of Picard Modular Surfaces, 1992. 1979. Florin N. Diacu, Singularities of the N-Body Problem, *R. Tyrrell Rockafellar, La théorie des sous-gradients et 1992. ses applications à l’optimisation, fonctions convexes et Jacques Gauvin, éorie de la programmation mathé- non convexes, 1979. matique non convexe, 1992. *Jacques-Louis Lions, Sur quelques questions d’analyse, Pierre Ferland, Claude Tricot & Axel van de Walle, de mécanique et de contrôle optimal, 1976. Analyse fractale, 1992 (soware and user guide). *Donald E. Knuth, Mariages stables et leurs relations Stéphane Baldo, Introduction à la topologie des en- avec d’autres problèmes combinatoires, 1976. sembles fractals, 1991.

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*Robert Hermann, Physical Aspects of Lie Group eory, Advanced Mathematics, vol. 10, 1998 (a collaboration 1974. with the AMS and International Press). *Mark Kac, elques problèmes mathématiques en phy- Pierre Ferland, Claude Tricot & Axel van de Walle, sique statistique, 1974. Fractal Analysis User’s Guide, 1994 (a collaboration *Sybreen de Groot, La transformation de Weyl et la with the AMS). fonction de Wigner : une forme alternative de la méca- Hedy Aouch, Jean-Pierre Aubin, Francis Clarke & nique quantique, 1974. Ivar Ekeland (eds.), Analyse non linéaire, 1989 (a collaboration with Gauthier-Villars). Other Collaborations with Publishers Videos Marc Moore, Sorana Froda & Christian Léger (eds.), Mathematical Statistics and Applications: Festschri for Eﬁm Zelmanov, Abstract Algebra in the 20th Century, Constance van Eeden, Lecture Notes – Monograph Se- 1997. ries, vol. 42, 2003 (a collaboration with the Institute of Serge Lang, Les grands courants, 1991. Mathematical Statistics). Robert Bédard, Brouiller les cartes, 1991. Duong H. Phong, Luc Vinet & Shing-Tung Yau (eds.), Serge Lang, Les équations diophantiennes, 1991. Mirror Manifolds and Geometry, AMS/IP Studies in Laurent Schwartz, Le mouvement brownien, 1990. Laurent Schwartz, Une vie de mathématicien, 1989.

97 Scientific Personnel S P

CRM Members in 2010 – 2011

In contrast with most other mathematics institutes around the world, the CRM can count on the solid foundation of regular, associate, and invited members. Each regular member is also a professor at one of the partner institutions: Montréal, Concordia, McGill, UQAM, Laval, Sherbrooke, and Oawa. Other members are researchers affiliated with the CRM in 2010 – 2011 as part of exchange agreements with neighbouring universities and industry or are long-term visitors from Canadian and foreign institutions. e presence at the CRM of such an active group of researchers has brought many benefits to the Centre. In particular, the CRM’s national program is greatly facilitated by having on hand a large reserve of willing organizers, who even contribute financially to the organization of activities. e largest partnership is with the Université de Montréal, which grants the equivalent of five full-time teaching positions in release time to the CRM. Release agreements with the other Montréal area universities afford the equivalent of two more full-time positions. Facilities are also provided to researchers affiliated with junior colleges. Several members are affiliated to the CRM through industrial agreements.

Regular members Galia Dafni, Concordia Syed Twareque Ali, Concordia Henri Darmon, McGill Jean-François Angers, Montréal Chantal David, Concordia Vestislav Apostolov, UQAM Jean-Marie De Koninck, Laval Paul Arminjon, Montréal Michel C. Delfour, Montréal Ibrahim Assem, Sherbrooke Maxime Descoteaux, Sherbrooke André D. Bandrauk, Sherbrooke Eusebius J. Doedel, Concordia Line Baribeau, Laval Pierre Duchesne, Montréal Peter Bartello, McGill ierry Duchesne, Laval Robert Bédard, UQAM Nadia El-Mabrouk, Montréal Jacques Bélair, Montréal André Fortin, Laval Habib Benali, UPMC & Inserm Richard Fournier, Dawson & Montréal Yoshua Bengio, Montréal Marlène Frigon, Montréal François Bergeron, UQAM André Garon, Polytechnique Montréal Marco Bertola, Concordia Paul M. Gauthier, Montréal Yves Bourgault, Oawa Christian Genest, McGill Anne Bourlioux, Montréal Eyal Z. Goren, McGill Steven P. Boyer, UQAM Andrew Granville, Montréal Gilles Brassard, Montréal Christophe Grova, McGill Srečko Brlek, UQAM Alfred Michel Grundland, UQTR omas Brüstle, Sherbrooke & Bishop’s Pengfei Guan, McGill Virginie Charette, Sherbrooke Geňa Hahn, Montréal Cédric Chauve, Simon Fraser Richard L. Hall, Concordia Vašek Chvátal, Concordia Sylvie Hamel, Montréal Francis H. Clarke, Lyon 1 John Harnad, Concordia Olivier Collin, UQAM Tony R. Humphries, McGill Octav Cornea, Montréal Jacques Hurtubise, McGill Miklós Csűrös, Montréal Véronique Hussin, Montréal Chris J. Cummins, Concordia Adrian Iovita, Concordia

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Dmitry Jakobson, McGill Christophe Reutenauer, UQAM Vojkan Jakšić, McGill Louis-Paul Rivest, Laval André Joyal, UQAM Ivo G. Rosenberg, Montréal Tomasz Kaczynski, Sherbrooke Christiane Rousseau, Montréal Niky Kamran, McGill Damien Roy, Oawa Olga Kharlampovich, McGill Peter Russell, McGill Hershy Kisilevsky, Concordia Yvan Saint-Aubin, Montréal Paul Koosis, McGill David Sankoﬀ, Oawa Dmitry Korotkin, Concordia Dana Schlomiuk, Montréal Gilbert Labelle, UQAM Robert Seiringer, McGill John Labute, McGill Alexander Shnirelman, Concordia François Lalonde, Montréal Vasilisa Shramchenko, Sherbrooke Benoît Larose, Champlain St-Lambert & Concordia Alina Stancu, Concordia Christian Léger, Montréal Ron J. Stern, Concordia Frédéric Lesage, Polytechnique Montréal Alain Tapp, Montréal Sabin Lessard, Montréal Francisco aine, Concordia Claude Levesque, Laval John A. Toth, McGill Jean-Marc Lina, ÉTS Paul F. Tupper, Simon Fraser Shiping Liu, Sherbrooke Lennaert van Veen, UOIT Steven Lu, UQAM Luc Vinet, Montréal Brenda MacGibbon, UQAM Timothy R. S. Walsh, UQAM Michael C. Mackey, McGill omas P. Wihler, Bern Vladimir Makarenkov, UQAM Pavel Winternitz, Montréal Michael Makkai, McGill Daniel T. Wise, McGill Javad Mashreghi, Laval Xiaowen Zhou, Concordia Sherwin A. Maslowe, McGill Associate members Pierre Mathieu, Laval John McKay, Concordia Nantel Bergeron, York Manuel Morales, Montréal Robert Conte, CEA/Saclay M. Ram Murty, een’s Stéphane Durand, Collège Édouard-Montpetit Fahima Nekka, Montréal Bertrand Eynard, CEA/Saclay Nilima Nigam, Simon Fraser Martin J. Gander, Genève Robert G. Owens, Montréal Pierre Ille, Institut de mathématiques de Luminy Manu Paranjape, Montréal Marc Laforest, Polytechnique Montréal Jiří Patera, Montréal Decio Levi, Roma Tre François Perron, Montréal Jun Li, Pharsight Iosif Polterovich, Montréal Emmanuel Lorin de la Grandmaison, Carleton Lea Popovic, Concordia Yiannis N. Petridis, Univ. Coll. London James O. Ramsay, McGill Elisa Shahbazian, OODA Technologies omas J. Ransford, Laval Bruno Rémillard, HEC Montréal

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Marc iriet, UPMC & INRIA Rocquencourt Invited members Pierre Valin, Defence R&D Canada Mylène Bédard, Montréal Carolyne M. Van Vliet, Montréal & Miami Toni Bourama, Virginia State Jean-Paul Zolésio, INRIA Sophia Antipolis Louis Doray, Montréal David Haziza, Montréal

Postdoctoral Fellows

Each year the CRM plays host to a great number of postdoctoral fellows. eir funding is provided through the NSERC and FRQNT postdoctoral programs, the NATO international program administered by NSERC, the CRM (usually in collaboration with the ISM), the CRM’s research laboratories, and individual research grants from CRM members. e list below includes postdoctoral fellows in residence at the CRM and those co-funded by the CRM. Some of the fellows were in residence at the CRM for only part of the year. e aﬃliation given is the institution where the doctorate was obtained.

Elif Fidan Acar, Toronto Nabil Kahouadji, Paris Diderot Shabnam Akhtari, UBC Abdoulaye Kane, Laval Mathieu Anel, Paul Sabatier Dimitris Koukoulopoulos, UIUC Ferenc Balogh, Concordia Ruochuan Liu, MIT Mounir Bennoune, Paul Sabatier Pawel Lorek, Wrocław Mattia Cafasso, SISSA Alok Kumar Maharana, Tata Inst. Renato Calleja, UT Austin Guyslain Naves, Joseph Fourier Emmanuel Delsinne, Caen Karol Palka, Warsaw Nikolai Dimitrov, Cornell Prim Plansangkate, Cambridge Tiago Dinis da Fonseca, UPMC Sarah Post, Minnesota Norman Nam Van Do, Melbourne Aleix Prats-Ferrer, Barcelona Grégoire Dupont, Lyon 1 Cornelius Reinfeldt, Heriot-Wa Abdelkrim El Basraoui, Oawa David Ridout, Adelaide Xander Faber, Columbia Vivien Ripoll, Paris Diderot François Fillion-Gourdeau, McGill Brian Seguin, Carnegie Mellon Igor Gorelyshev, Russian Academy of Sciences Ethan C. Smith, Clemson Melita Hadzagic, McGill Mahmood Sohrabi, Carleton Benoit Hamelin, Polytechnique Montréal Christian Stump, Wien Alexander J. Hariton, Montréal Diane Vavrichek, Michigan Eric Harper, Miami Driss Yacoubi, UPMC Alexander E. Hoﬀnung, UC Riverside Benjamin Young, UBC Hongnian Huang, Wisconsin – Madison El Miloud Zaoui, Sherbrooke Duc Khiem Huynh, Bristol

Visitors

Each year the CRM hosts a large number of visitors. e majority come to the Centre to participate in scien- tiﬁc activities organized or co-organized by the CRM. In 2010 – 2011 there were 776 participants in the thematic

101 C    program activities and 199 participants in the activities of the multidisciplinary and industrial program. Further- more 711 participants were registered in those activities of the general program that took place at the CRM or its partner institutions, and the CRM supported in part two conferences hosting 437 participants (CNTA XI and CanaDAM 2011).

Long-term visitors Joan Carles Artés, UA Barcelona Jean-Pierre Aubin, École Polytechnique e following list only includes visitors who were in Alina Bucur, UC San Diego residence for at least four weeks. Goce Chadzitaskos, Doppler Inst. Montserrat Casals-Ruiz, Vanderbilt Robert Conte, CEA/Saclay Rupert L. Frank, Princeton Aka Bile Frederic Edoukou, Nanyang Tech. Christian Hainzl, Tübingen Bertrand Eynard, CEA/Saclay Zdenek Kabat, TU Prague Brooke Feigon, East Anglia Dalibor Karasek, TU Prague Roman Golovko, Montréal Ilya Kazachkov, Vanderbilt Matthew Greenberg, Calgary Decio Levi, Roma Tre Mo Hendon, Georgia Mathieu Lewin, Cergy-Pontoise Jiří Hrivnák, Montréal Adam Logan, Liverpool & Waterloo Francesco Iachello, Yale Joel Louwsma, Caltech François Légaré, INRS-ÉMT Alexei G. Miasnikov, Stevens Inst. Frank Lemire, Windsor Djordje Milicevic, Michigan Michael Levitin, Cardiﬀ Michael Monastyrsky, ITEP Willard Miller Jr., Minnesota Antonella Perucca, EPFL Robert V. Moody, Alberta Vladimir Shpilrain, CCNY Aleksander Yu. Orlov, Inst. Shirshov Libor Šnobl, TU Prague Denis Osin, Vanderbilt Ramesh Sreekantan, ISI Bangalore Alexei V. Penskoi, Independent Univ. of Moscow Sumati Surya, ITEP Vladimir N. Remeslennikov, Omsk State Marc iriet, UPMC Nikolay Romanovskiy, Sobolev Inst. Nicholas Touikan, UQAM Yuri Safarov, King’s Coll. London Sébastien Tremblay, UQTR Avinash Sathaye, Kentucky Enric Ventura, UP Catalunya Kaneenika Sinha, IISER Kolkata Nicolae Vulpe, Academy of Sciences of Moldova Gerhard Sorger, Wien Yuanli Zhang, unaﬃliated Marzena Szajewska, Bialystok Oleksiy Zhedanov, Donetsk IPE Zora omova, SUNYIT Short-term visitors Alexander Turbiner, UNAM Elena Vedmedenko, Hamburg e following visitors were in residence for less than Esther Widiasih, Minnesota four weeks. Vladimir E. Zakharov, Arizona Alain Arnéodo, ÉNS Lyon Jean-Paul Zolésio, INRIA Sophia Antipolis Douglas N. Arnold, Minnesota

102 List of Students Having Graduated in 2010 – 2011 C   

 CRM members supervise a large number of graduate students. In this section we give information on the T students supervised by CRM members who graduated in 2010 – 2011. e name of the student is followed by the name of his or her supervisor (or names of his or her supervisors), his or her institution, and his or her program. Some names may be missing from this list, because we have only included those that have been brought to our aention.

Ph.D. Students

Waldo Arriagada-Silva Alexandre Goguin Christiane Rousseau Habib Benali, Frédéric Lesage Université de Montréal Université Pierre et Marie Curie Mathematics (applied mathematics option) Neuroscience Ferenc Balogh Alexandre Hocquard John Harnad Nicolas Papageorgiou; Bruno Rémillard Concordia University HEC Montréal Mathematics Financial engineering Noomen Ben Ghorbal Benoit Huard Christian Genest Alfred Michel Grundland Université Laval Université de Montréal Mathematics (statistics option) Mathematics (applied mathematics option) Alix Boc Félix Labrecque-Synnott Vladimir Makarenkov Jean-François Angers Université du ébec à Montréal Université de Montréal Bioinformatics Statistics Abdelhaﬁd Chekkal Caroline Lambert Christophe Reutenauer Christiane Rousseau Université du ébec à Montréal Université de Montréal Mathematics Mathematics (pure mathematics option) Eﬀat Dehghanian Éveline Legendre André D. Bandrauk Vestislav Apostolov Université de Sherbrooke Université du ébec à Montréal Chemistry Mathematics Elena Alice Dragomir Mehdi Lejmi Sylvie Perreault; Jean-François Angers Vestislav Apostolov Université de Montréal Université du ébec à Montréal Pharmaceutical sciences Mathematics Dumitru Ehran Geva Maimon Yoshua Bengio Russell Steele Université de Montréal McGill University Computer science Statistics Cameron Franc Olivier Marchal Henri Darmon John Harnad; Marco Bertola; Bertrand Eynard McGill University Université de Montréal Mathematics Mathematics (applied mathematics option) Tristan Freiberg James Merleau Andrew Granville Jean-François Angers; Luc Perreault Université de Montréal Université de Montréal Mathematics (pure mathematics option) Statistics

104 L  S H G  2010 – 2011

Andrey Nikolaev Antonio Rieser Alexei G. Miasnikov Octav Cornea; François Lalonde McGill University Université de Montréal Mathematics Mathematics (pure mathematics option) Milton Nogueira da Silva Junior Frédérick Tremblay Fernando Duda; Eliot Fried Pavel Winternitz Universidade Federal de Rio de Janeiro; McGill Univer- Université de Montréal sity Mathematics (applied mathematics option) Mechanical engineering Pascal Turbis Ivo Panayotov Anne Bourlioux Xiao-Wen Chang Université de Montréal McGill University Mathematics (applied mathematics option) Mathematics Michael Lennox Wong Charles Paquette Jacques Hurtubise; Peter Russell Shiping Liu McGill University Université de Sherbrooke Mathematics Mathematics Yu Zhao entin Rajon Henri Darmon omas J. Ransford; Jérémie Rostand McGill University Université Laval Mathematics Mathematics

M.Sc. Students

Maxime Abran Marc-Olivier Bélisle Frédéric Lesage Virginie Charee École Polytechnique de Montréal Université de Sherbrooke Electrical Engineering Mathematics Adil Arqib Louis Philip Benoit Brouvette Louis-Paul Rivest Miklós Csűrös; Sylvie Hamel Université Laval Université de Montréal Statistics Bioinformatics Dylan Attwell-Duvall Véronique Boiteau Eyal Z. Goren Nadia Ghazzali; Belkacem Abdous McGill University Université Laval Mathematics Mathematics Janine Bachrachas Olivier Breuleux Alina Stancu Yoshua Bengio Concordia University Université de Montréal Mathematics Computer science Raymond Bastien-Ferland Leila Bridgeman Louis-Paul Rivest Tony Humphries; omas P. Wihler Université Laval McGill University Statistics Mathematics

105 C   

Ruth Bruno Alexandre Gougeon Éric Marchand Bruno Rémillard; Nicolas Papageorgiou Université de Sherbrooke HEC Montréal Biostatistics Management sciences Luca Candelori Kaveh Hamidya Henri Darmon Bruno Rémillard McGill University HEC Montréal Mathematics Management sciences Éric Charland Fanny Harvey omas Brüstle Christian Genest; ierry Duchesne Université de Sherbrooke Université Laval Mathematics Statistics Hugo Cloutier Gilbert Honnouvo Alain Goupil David B. Wolfson Université du ébec à Trois-Rivières McGill University Mathematics Mathematics François D’Auteuil-Potvin Aymen Jendoubi Louis-Paul Rivest André Fortin Université Laval Université Laval Statistics Mathematics Félix Desrochers-Guérin Anne-Sophie Julien Steven Shin-Yi Lu Louis-Paul Rivest Université du ébec à Montréal Université Laval Mathematics Biostatistics Bastien Ferland-Raymond Jean-Philippe Labbé Louis-Paul Rivest Srečko Brlek Université Laval Université du ébec à Montréal Statistics Mathematics Maxime Fortier-Bourque Étienne Lareau omas J. Ransford Frédéric Lesage Université Laval École Polytechnique de Montréal Mathematics Biomedical engineering Jérôme Fortier James-Michael Leahy Line Baribeau; Jérémie Rostand Henri Darmon Université Laval McGill University Mathematics Mathematics Jérôme-Melville Giguère Maude Lepage Richard Fournier Christian Genest Université de Montréal Université Laval Mathematics Statistics Frédéric Godin Patrick Letendre Manuel Morales Claude Levesque; Jean-Marie De Koninck Université de Montréal Université Laval Mathematics Mathematics

106 L  S H G  2010 – 2011

Aziz Lmoudden Sylvain Pannetier Lebeuf Louis-Paul Rivest Yoshua Bengio; Manuel Morales Université Laval Université de Montréal Statistics Mathematics Jonathan Lortie Valérie Patenaude Christophe Hohlweg Jean-François Angers; Louis G. Doray; Serge Dubuc Université du ébec à Montréal Université de Montréal Mathematics Statistics Ying Lu Benoît Pouliot ierry Duchesne André Fortin Université Laval Université Laval Statistics Mathematics Omid Makhmali Louis-Xavier Proulx Niky Kamran Anne Bourlioux McGill University Université de Montréal Mathematics Mathematics Zia Mohaddes William Phillip Rempel Sylvie Hamel; Andreea-Ruxandra Schmitzer Niky Kamran Université de Montréal McGill University Bioinformatics Mathematics Marcela Molinie Juan Ignacio Restrepo Jacques Bélair Henri Darmon Université de Montréal McGill University Mathematics Mathematics Christian Olivier Nambeu Márcio Ribeiro David Haziza Christian Léger Université de Montréal Université de Montréal Statistics Statistics Cheikhe Ndongo Mariolys Rivas Alfred Michel Grundland Marni Mishna Université du ébec à Trois-Rivières Simon Fraser University Mathematics Mathematics Annick Joëlle Nembot Simo Marc-André Rousseau Alejandro Murua David A. Stephens Université de Montréal McGill University Statistics Statistics Herbert Nkwimi Tchahou Alaa Shawli Pierre Duchesne Russell Steele; Masoud Asgharian Université de Montréal McGill University Statistics Mathematics Hassan Omidi Firouzi Alexandre St-Onge Manuel Morales Line Baribeau Université de Montréal Université Laval Mathematics Mathematics

107 C   

Julia orpe Geneviève Vézina Erica E. M. Moodie Nadia Ghazzali; Belkacem Abdous McGill University Université Laval Epidemiology Mathematics Stéphane Turcotte Gauthier Webanck Louis-Paul Rivest Bruno Rémillard Université Laval HEC Montréal Biostatistics Management sciences

108 Governance and Scientific Guidance C   

 CRM structure consists of a Board of Directors, an Assembly of Members, an International Scientific Ad- T visory Commiee, a Local Scientific Commiee, an Executive Commiee, and a Commiee of Directors of Laboratories. In 2010-2011, the members of the Local Scientific Commiee were Steven P. Boyer (Université du ébec à Montréal), Gilles Brassard (Université de Montréal), André Fortin (Université Laval), Andrew Granville (Université de Montréal), Dmitry Jakobson (McGill University), and Peter Russell (McGill University; Director of the CRM). e Executive Commiee consists of the CRM Director and the Deputy Directors. For more information, the reader may consult the web site crm.math.ca/apropos/CRM_structure_an.shtml.

Board of Directors e Board of Directors is composed of: • e Director (ex oﬃcio); • A member of the Executive Commiee nominated • e Vice-Principal, Research, of each of the main by the Board for a two-year mandate; partner universities of the CRM, or his representa- • Two regular members nominated by the Assembly tive; for three-year mandates, normally renewable once; • A Vice-Principal, Research, of one of the other part- • A Laboratory Director, nominated by the Commiee ner universities of the CRM, chosen by these univer- of Directors of Laboratories for a two-year mandate, sities on a rotating basis for a two-year mandate. normally renewable once; Here are the members of the Board of Directors for 2010 – 2011. Jacques Beauvais, Vice-Rector (Research) Joseph Hubert, Vice-Rector (Research) Université de Sherbrooke Université de Montréal Olivier Collin Yves Mauﬀette, Vice-Rector (Research) Université du ébec à Montréal Université du ébec à Montréal Louise Dandurand, Vice-President (Research) Robert G. Owens Concordia University Université de Montréal Rose Goldstein, Vice-Principal (Research) Rima Rozen, Vice-Principal (Research) McGill University (from January 1st, 2011) McGill University (until December 31, 2010) Andrew Granville Peter Russell, Director of the CRM Université de Montréal McGill University John Harnad Concordia University

Chantal David (Concordia University) and Odile Marcotte (Université du ébec à Montréal), Deputy Directors of the CRM, were invited members.

International Scientific Advisory Commiee

e International Scientific Advisory Commiee consists of distinguished researchers from Canada and abroad. Its members are either mathematicians or scientists with close ties to the mathematical sciences. e Advisory Commiee is kept informed regularly of the activities of the Centre through the Director. e Commiee makes recommendations about the general scientific orientations of the CRM and gives advice about proposed scientific activities.

110 G  S G

Martin Barlow received his ticles, and wrien or edited 13 books or special vol- undergraduate degree from the umes. University of Cambridge in 1975 Allan Borodin received and completed his doctoral de- his B.A. in Mathematics in gree with David Williams at the 1963 (from Rutgers Univer- University College of Swansea sity), his M.Sc. in Electri- in Wales (1978). Since then he cal Engineering and Com- has been a leading researcher in puter Science in 1966 (from probability theory, in particular diffusion in fractals Stevens Institute of Tech- and other disordered media. He held a Royal Soci- nology), and his Ph.D. in ety University Research Fellowship at the University Computer Science in 1969 (from Cornell University). of Cambridge from 1985 to 1992, when he joined the He was a systems programmer at Bell Laboratories in Mathematics Department at the University of British New Jersey from 1963 to 1966, and a Research Fellow Columbia. He is currently Professor of Mathematics at at Cornell from 1966 to 1969. Since 1969, he has been UBC. He has held a number of visiting professorships a professor in the Department of Computer Science at leading universities. Martin Barlow gave an invited at the University of Toronto, where he became a full lecture at the 1990 ICM in Kyoto and was an invited professor in 1977. He was department chair from 1980 lecturer at the prestigious Saint-Flour Summer School to 1985. Professor Borodin is a world leader in the in 1995. In 2008 he received the Jeffery-Williams Prize mathematical foundations of computer science and of the Canadian Mathematical Society and in 2009 the has made fundamental contributions to many areas, CRM – Fields – PIMS Prize. Other distinctions include including algebraic computations, resource tradeoffs, the Rollo Davidson Prize from the University of Cam- routing in interconnection networks, parallel algo- bridge and the Junior Whitehead Prize from the Lon- rithms, on-line algorithms, and adversarial queuing don Mathematical Society. He has been a leader of theory. Professor Borodin has been the editor of many the international probability community as a lead or- journals, including the SIAM Journal on Computing. ganizer of numerous conferences, Associate Editor of He has held positions on, or been active in, dozens of all the top probability journals, and Editor-in-Chief of commiees and organizations, both inside and outside the Electronic Communications in Probability. He has the University, and has held several visiting professor- been a Fellow of the Institute of Mathematical Statis- ships internationally. In 1991 Professor Borodin was tics since 1995 and of the Royal Society of Canada since elected a Fellow of the Royal Society of Canada and in 1998. In 2006 he was elected Fellow of the Royal Soci- 2008 he received the CRM – Fields – PIMS Prize. ety (London). Susan Friedlander is cur- James Berger is the Arts and rently Director of the Center Sciences Professor of Statistics for Applied Mathematical Sci- at the Institute of Statistics and ences and Professor of Math- Decision Sciences of Duke Uni- ematics at the University of versity and Director of the Sta- Southern California. She ob- tistical and Applied Mathemat- tained her Doctoral degree at ical Sciences Institute (SAMSI). Princeton University in 1972. He received a Ph.D. in mathe- She has published extensively in the areas of differen- matics from Cornell University in 1974 and is a past tial equations and fluid mechanics. She has been very recipient of the Guggenheim and Sloan Fellowships. active on numerous commiees and evaluation panels, He was elected to the National Academy of Sciences including the Council of the American Mathematical in 2003. His research has primarily been in Bayesian Society and the Board on Mathematical Sciences and statistics, foundations of statistics, statistical decision eir Applications of the National Academies. She has theory, simulation, model selection, and various inter- also been involved continuously in the organization disciplinary areas of science and industry. He has su- of conferences and workshops; in particular she was pervised 30 Ph.D. dissertations, published over 140 ar- a member of the AMS-Shanghai Joint Meeting Pro- gram Commiee. She has served on numerous AMS

111 C    editorial boards and university commiees. She has Alice Guionnet is “direc- been honoured with several academic awards, includ- trice de recherche” at the ing the Institut Henri-Poincaré Medal, the Gauthier- CNRS and teaches at the Villars Prize for Nonlinear Analysis, and the Univer- École normale supérieure de sity of Illinois Scholar Award (in 2003). Over the years, Lyon. She received a Ph.D. she has been a frequent invited lecturer in the United from the Université Paris- States and around the world Sud in 1995. In 1999 she Mark Goresky has been a was awarded the Oberwol- member of the Institute for fach Prize (for a young European mathematician un- Advanced Study in Princeton der 35 years of age) and in 2009 she received the Loève since 1994. He received his Prize in Probability. She was an invited speaker at B.Sc. from the University of ICIAM 2003 and ICM 2006. Alice Guionnet was a mem- British Columbia in 1971 and ber of the editorial board of Stochastic Processes and a Ph.D. from Brown University their Applications and is currently editor-in-chief of the in 1976. In 1986 he was elected Annales de l’Institut Henri Poincaré B, Probability and to the Royal Society of Canada. Statistics. Her research interests focus mainly on prob- He was awarded the Jeﬀery- ability theory in relation to mathematical physics. Williams Prize of the Canadian Mathematical Society Jacques Hurtubise obtained a B.Sc. in 1996 and the Steele Prize of the American Mathe- in mathematics in 1978 from the Uni- matical Society in 2002 (jointly with R. MacPherson). versité de Montréal and a Ph.D. in He was a member of the editorial board of the Cana- mathematics in 1982 from the Univer- dian Journal of Mathematics from 1997 to 2000 and is sity of Oxford, where he was a Rhodes currently a member of the editorial board of the Bul- scholar. From 1982 to 1988 he was a letin of the American Mathematical Society. He is a professor at UQAM. Since 1988 he has world expert in geometric representation theory. been a professor in the Department Mark L. Green has been a proof Mathematics and Statistics of McGill University (of fessor in the UCLA Department of which he has been the chairman since 2009). His re- Mathematics since 1982. He research interests are in gauge theory, algebraic geome- ceived his Ph.D. from Princeton try, integrable systems, and mathematical physics. He University in 1972 and was Direc- was a Fellow of the Institute for Advanced Study at tor of the Institute for Pure and Princeton in 1987 – 1988 and a Centennial Fellow of the Applied Mathematics from 2001 to American Mathematical Society in 1993 – 1994. In 1993 2008. Mark Green has received nu- Jacques Hurtubise was awarded the Coxeter – James merous honours during his career. In particular, he Prize by the Canadian Mathematical Society. In 2004 was an invited speaker at the International Congress he became a Fellow of the Royal Society of Canada. of Mathematicians in Berlin in 1998. He was a plenary From 2010 to 2012 he was the President of the Canadian speaker at the Abel Centennial held in Oslo in 2002 Mathematical Society. Jacques Hurtubise was or is a and the Hodge Centennial held in Edinburgh in 2003. member of numerous commiees of NSERC, FQRNT, Professor Green’s services to the mathematical com- and the Council of Canadian Academies. munity are extensive. He was a member of the Board Barbara Lee Keyﬁtz has been a of Trustees at the Claremont Center for the Mathemat- professor at the Ohio State Uni- ical Sciences and a member of the Board of Directors versity since January 2009. She of the Center for Mathematics and Teaching. Profes- served as Director of the Fields In- sor Green also served on the NSERC Major Resources stitute for the Mathematical Sci- Support Commiee and was the editor of the Journal ences from 2004 to 2008. From 2000 of Algebraic Geometry. His research interests are in to 2008, she was John and Rebecca commutative algebra, algebraic geometry, and applied Moores Professor of Mathematics mathematics. at the University of Houston, which she joined in 1987, following appointments at Columbia, Princeton, and

112 G  S G

Arizona State University. She studied at the University Peter Russell obtained his Ph.D. of Toronto and obtained her Ph.D. at the Courant In- from the University of California, stitute (NYU). Barbara Keyfitz is a Fellow of the Amer- Berkeley in 1966 under the direc- ican Association for the Advancement of Science and tion of Maxwell Rosenlicht. Af- the recipient of the 2005 Krieger – Nelson Prize of the ter spending three years as a Ben- Canadian Mathematical Society. She serves as Trea- jamin Pierce Instructor at Har- surer of the International Council of Industrial and Ap- vard University, he joined the plied Mathematics and has been a member of several Department of Mathematics and editorial boards. Her research interests are in the field Statistics at McGill University, from which he retired of nonlinear partial differential equations. in 2009. He served as chair of that department from Claude Le Bris obtained his doc- 1988 to 1994 and as director of the Institut des Sciences torate from the École Polytech- Mathématiques in 1995 – 1996 and from 2000 to 2004. nique in France and his accredi- His area of interest is algebraic geometry. Since the tation to supervise research from 1970s Professor Russell has been active in affine alge- the Université Paris Dauphine in braic geometry, which around that time became rec- 1997. His research interests include ognized as a full-fledged subdiscipline of mathemat- mathematical analysis and numer- ics with close links to algebra, algebraic geometry, and ical methods for partial differen- topology. tial equations and their applications to molecular sim- Akshay Venkatesh has been a ulation, multiscale problems, materials science, and professor at Stanford University continuum mechanics. He is a world-renowned ex- since September 2008. He obtained pert in the mathematics of quantum chemistry and his Ph.D. from Princeton Univer- the computation of the electronic structure in quan- sity in 2002, was C.L.E. Moore In- tum physics. Claude Le Bris received the Blaise Pascal structor at MIT from 2002 to 2004, Prize from the Académie des Sciences in 1999, the “CS and a professor at the Courant In- 2002 Prize in Scientific Computing,” and the Giovanni stitute (NYU) from 2004 to 2008. Sacchi-Landriani Prize from the Istituto Lombardo in Akshay Venkatesh has received many prizes and fel- 2002. He was Civil-Engineer-in-Chief and Research lowships since the beginning of his career, in particu- Scientist at the École Nationale des Ponts et Chaussées lar the Sloan Foundation Fellowship (2007), the Salem and scientific leader of the MICMAC project at INRIA. Prize (2007), the David and Lucile Packard Foundation Claude Le Bris has been a member of several program Fellowship (2007 – 2012), and the SASTRA Ramanujan commiees of international conferences and thematic Prize (2008). In 2010 he was Aisenstadt Chair lecturer years organized by research centres. He was co-editor at the CRM, within the framework of the thematic of Mathematical Modelling and Numerical Analysis and semester on Number eory as Experimental and Ap- editor of the Applied Mathematics Research eXpress. He plied Science. His research interests are in number the- has supervised 12 Ph.D. students and authored five ory and automorphic forms, including representation books, 80 articles published in international journals, theory, dynamics on homogeneous spaces, and arith- and 20 articles included into books or conference pro- metic algebraic geometry. ceedings. He has given 90 invited lectures at international conferences and a series of Aisenstadt lectures at the CRM (in the fall of 2009).

Joseph Hubert, Vice-Principal (Research), Université de Montréal, is an ex-oﬃcio member of the International Scientiﬁc Advisory Commiee. Chantal David (Concordia University), Andrew Granville (Université de Mont- réal), and Odile Marcotte (Université du ébec à Montréal), all Deputy Directors of CRM, are invited members of the Commiee.

113 CRM Administrative and Support Staﬀ CRM A  S S

The Director’s Oﬀice

Peter Russell Andrew Granville Director Deputy Director, CRM Prizes Chantal David Odile Marcotte Deputy Director, Le Bulletin du CRM and joint publi- Deputy Director, Annual Report and Coordination cations with the AMS and Springer with Related Fields

Administration

Vincent Masciotra Gaëlle Géraldine Prigent Head of Administration Secretary Muriel Pasqualetti Guillermo Martinez-Zalce Administrative Assistant Research Laboratories Administrative Coordinator Julie Labbé Diane Brulé-De Filippis Secretary Administrative Assistant

Scientific Activities

Louis Pelletier Sakina Benhima Coordinator Project Manager Louise Letendre Administrative Assistant

Computer Services

Daniel Ouimet André Montpetit Systems Administrator Oﬃce Systems Manager (half-time)

Publications

André Montpetit TEX Expert (half-time)

Communications

Suzette Paradis Communications Oﬃcer and Webmaster

115 Mandate of the CRM M   CRM

 Centre de recherches mathématiques (CRM) is tional achievement in theoretical and mathematical T one of the first and foremost institutes of mathe- physics, and the CRM – SSC Prize for exceptional matical research in the world. Indeed it was the first in- contributions to statistics in early career; ternational institute to introduce the famous thematic • it publishes technical reports and several books per programs (in 1984, at the same time as MSRI). ese year (and some of its collections are published jointly programs were created independently by the two in- with the AMS and with Springer); stitutes and were an inspiration for the tens of insti- • it has an extensive postdoctoral fellowship program, tutes that were created in Europe and Asia aer 1984. with more than thirty postdoctoral fellows on site, is model turned out to be the most creative and funded in partnership with other organizations and efficient means of fostering research and its applica- researchers; tions to state-of-the-art technology. Although the ini- • it informs the community of its activities through its tial programs were concentrated in pure and applied newsleer, Le Bulletin du CRM, and its web site at mathematics, they are now much broader and include http://crm.math.ca/; all the fields that use sophisticated mathematical meth- • it participates, with the other two Canadian insti- ods: theoretical physics, classical and quantum infor- tutes, in groundbreaking national initiatives, for in- mation, medical imaging, statistics, probabilistic meth- stance the MITACS network (Mathematics of Infor- ods on large-scale networks, etc. mation Technology and Complex Systems). e in- e CRM was created in 1969 by the Université de stitutes sponsor the Annual Meetings of the Math- Montréal through a special grant from the National ematical Sciences Societies (CMS, SSC, CAIMS), the Research Council of Canada. It became an NSERC na- development of the mathematical sciences in the At- tional research centre in 1984. It is currently funded lantic provinces through AARMS, and other activ- by NSERC (Natural Sciences and Engineering Research ities organized outside the three institutes. ey Council), by the Government of ébec through the also participate in the National Institute for Complex FQRNT (Fonds québécois de la recherche sur la nature Data Structures jointly with the Canadian statistical et les technologies), by the Université de Montréal, as community. well as McGill University, the Université du ébec à is national mandate is complemented by, and indeed Montréal, Concordia University, the University of Ot- supported by, a long-standing vocation of promoting tawa, Université Laval, the Université de Sherbrooke, research in the mathematical sciences in ébec. For and by private donations. e mission of the CRM is instance, to support research in mathematics and closely related • the CRM supports research through its ten research disciplines and to provide leadership in the develop- laboratories spanning most of the important areas of ment of the mathematical sciences in Canada. the mathematical sciences; • it supports, through partnership agreements, a e CRM carries on its mission and national mandate group of local researchers chosen mainly from de- in several ways: partments of mathematics and statistics, but also • it organizes each year a series of scientific events on computer science, physics, economics, engineering, a specific theme (high-profile lectures, workshops, etc.; summer schools, etc.); • it organizes series of regular seminars and lecture • its general program and its multidisciplinary and in- courses on different areas of the mathematical sci- dustrial program provide funding for conferences ences; and special events at the CRM and across the coun- • it sponsors joint activities with the Institut des try; sciences mathématiques (ISM) including the weekly • each year it invites, through the Aisenstadt Chair, CRM – ISM colloquia, graduate courses offered by one or more distinguished mathematicians, to give distinguished visitors, and a program of postdoctoral advanced courses as part of its thematic program; fellowships; • it awards four prizes yearly: the CRM – Fields – • it works actively at developing contacts with indus- PIMS Prize recognizing major contributions to math- try. Its joint activities with liaison and research cen- ematics, the André-Aisenstadt Prize given for out- tres (CIRANO, CRIM, and MITACS) and research standing work carried out by a young Canadian centres doing applied research (CIRRELT, GERAD, mathematician, the CAP – CRM Prize for excep- INRS-ÉMT, and INSERM) led to the creation of in-

117 C   

dustrial networks. e most recent ones involved, in nistre de l’Éducation (in 2008), and the Grandes Confé- 2004 – 2005, Bombardier Aerospace and the CRM – rences du CRM, which allow a broad public to aend IUGM – INSERM Brain Imaging Unit. lectures given by outstanding international scientists. e CRM fulfils its national mission by involving the e director of the CRM is assisted by two manage- largest possible number of Canadian mathematicians rial structures: the Board of Directors and the Inter- in its scientific programs, both as participants and as national Scientific Advisory Commiee. e Advi- organizers. It also supports many events taking place sory Commiee is a group of internationally renowned outside Montréal and the Province of ébec. e mathematicians from Canada and abroad, who ap- CRM is reaching out to the general public through two prove scientific programs and thematic years, choose ongoing programs: the Accromαth magazine, which recipients of the André-Aisenstadt Prize, and suggest was created jointly by the CRM and the ISM and won new scientific avenues to explore. many international prizes and the Prix spécial de la Mi-

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