C CENTRE R DERECHERCHES M MATHÉMATIQUES
AnnualReport 2009 2010
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2 C CENTRE R DERECHERCHES M MATHÉMATIQUES
AnnualReport 2009 2010
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3 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.
© Centre de recherches mathématiques Université de Montréal, 2012 ISBN 978-2-921120-48-7 C
Presenting the Annual Report 2009 – 2010 5
ematic Program 8 ematic Programs of the Year 2009–2010: “Mathematical Problems in Imaging Science” and “Number eory as Experimental and Applied Science” ...... 9 Aisenstadt Chairholders in 2009–2010: Stéphane Mallat, Claude Le Bris, and Akshay Venkatesh .... 10 Activities of the Two ematic Semesters ...... 12 Past ematic Programs ...... 22
General Program 24 CRM Activities ...... 25 CRM–ISM Colloquium Series ...... 30
Multidisciplinary and Industrial Program 33 Activities of the Multidisciplinary and Industrial Program ...... 34
CRM Prizes 38 CRM–Fields–PIMS Prize 2010 Awarded to Gordon Slade ...... 39 André-Aisenstadt Prize 2010 Awarded to Omer Angel ...... 40 CAP–CRM Prize 2010 Awarded to Clifford Burgess ...... 40 CRM–SSC Prize 2010 Awarded to Grace Yi ...... 41
e CRM Outreach Program 43 Arithmetic Problems Posed by Rabbits, Cows, and the Da Vinci Code — Michel Waldschmidt ...... 44 Brouwer’s Fixed-Point eorem: a Mathematical Chameleon — Jean Mawhin ...... 46 Coin Flipping and Other estions of Probability — Jeffrey Rosenthal ...... 47 Geometreks — Ivars Peterson ...... 47
CRM Partnerships 49 CRM Partners ...... 50 Joint Initiatives ...... 53
Mathematical Education 57 Institut des sciences mathématiques (ISM) ...... 58 Other Joint Initiatives ...... 60
Research Laboratories 61 Applied Mathematics ...... 62 CICMA ...... 64 CIRGET ...... 66 GIREF ...... 68 INTRIQ ...... 70 LaCIM ...... 71 Mathematical Analysis ...... 74 Mathematical Physics ...... 76 PhysNum ...... 80 Statistics ...... 82
Publications 85 Recent Titles ...... 86 Previous Titles ...... 86 CRM Preprints ...... 90
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Scientific Personnel 91 CRM Members in 2009–2010 ...... 92 Postdoctoral Fellows ...... 94 Visitors ...... 94
List of Students Having Graduated in 2009–2010 96 Ph.D. Students ...... 97 M.Sc. Students ...... 98
Governance and Scientific Guidance 100 Board of Directors ...... 101 International Scientific Advisory Commiee ...... 102
CRM Administrative and Support Staff 105 e Director’s Office ...... 106 Administration ...... 106 Scientific Activities ...... 106 Computer Services ...... 106 Publications ...... 106 Communications ...... 106
Statement of Revenue and Expenditures for the Fiscal Year Ending on May 31, 2010 107
Mandate of the CRM 111
4 Presenting the Annual Report 2009 – 2010 C
two thematic programs proposed by the CRM for its applications, number theory is now being ap- T in 2009 – 2010 were especially original. Each of plied in many ways and especially in secure infor- them was related to the emergence of pure mathemat- mation exchange and cryptography. e semester on ics in a very active scientific discipline. e semester number theory was organized by Henri Darmon, Eyal on medical and quantum imaging brought together Goren, Andrew Granville, and Michael Rubinstein and two groups of researchers, the first one in brain imag- included a series of lectures by Aisenstadt Chairholder ing and the second one in molecular and atomic imag- Akshay Venkatesh (from Stanford University). ing. Both disciplines are witnessing a revolution in e CRM general program allows researchers to orga- their techniques that requires new mathemacal ideas nize, either at the center or in the laboratories, work- and modern and original methods. Neuroimaging is shops and international conferences that the CRM sup- expanding at a fast pace and involves at least four ar- ports in order to foster scientific exchanges smaller in eas of pure and applied mathematics: modelling, signal scope than thematic semesters or years. e 11 ac- processing, statistical analysis, and information pro- tivities organized under the CRM general program in cessing through data fusion. 2009 – 2010 were aended by 337 participants. e thematic semester on imaging also included a fo- e CRM is the Canadian mathematical institute that cus on atomic imaging, one of the most active fields awards the largest number of prestigious Canadian of modern scientific research. is field is spearhead- prizes (in collaboration with other institutes). Alto- ing a revolution not only in chemistry and physics gether there are four such prizes. e CRM – Fields – but also in mathematics. Underlying this revolution PIMS Prize is awarded to a brilliant Canadian mathe- is the advent, within the last few years, of very high- matician on account of his exceptional contributions 10−15 frequency lasers, of the order of a femtosecond ( ) and is considered to be the crowning of his career. 10−18 for molecules and an aosecond ( ) for atoms. In 2010 Gordon Slade, from the University of British But the reading of these data requires the process- Columbia, was the recipient of the CRM – Fields – ing of fundamental equations that are strongly non- PIMS Prize. e André-Aisenstadt Prize is awarded linear in a nonperburbative regime. is requirement, to a young Canadian mathematician who has distin- in turn, calls for a new kind of mathematics, and guished himself, within a few years, in one of the most the thematic semester on imaging took on the chal- difficult areas of contemporary mathematics. In 2010 lenge. e semester was organized by André Ban- Omer Angel, from the University of British Columbia, drauk, Christophe Grova, Frédéric Lesage and Jean- was the recipient of the André-Aisenstadt Prize. e Marc Lina (and French and American researchers), CRM – SSC Prize is awarded to a Canadian statistician and included two series of lectures by Aisenstadt for the contributions made during his career. In 2010 Chairholders: Stéphane Mallat, from the École Poly- Grace Yi, from the University of Waterloo, was the technique in Paris, and Claude Le Bris from the École recipient of the CRM – SSC Prize. Finally the CRM – des Ponts ParisTech. CAP Prize is awarded to a theoretical or mathematical e thematic program on number theory as experi- physicist for his contributions to his field. In 2010 Clif- mental and applied science was also very topical. Its ford Burgess, professor at McMaster University and purpose was to demonstrate that number theory, both member of the Perimeter Institute, was the recipient in its discovery processes and its applications, can of the CRM – CAP Prize. draw its inspiration from the experimental sciences. During the 2009 – 2010 academic year the Grandes In the discovery process, number theorists are mak- Conférences program, introduced in 2006, continued ing greater and greater use of powerful soware such to develop. Four Grandes Conférences were organized as in order to conduct genuine experiments for in 2009 – 2010. e topic of the lecture by Michel Wald- verifying or falsifying conjectures that are unlikely to schmidt (from Université Pierre et Marie Curie) was in- be proved or disproved soon. ese experiments al- teger sequences that are defined recursively. e topic low researchers to formulate beer and sound conjec- of Jean Mawhin (from the Université catholique de tures. It is a subtle art, as shown by Professor Jean- Louvain) was the fixed point theorem. Jeffrey Rosen- Marie De Koninck in the very first Grande Conférence thal, from the University of Toronto, delivered a lecture du CRM: some conjectures that have been verified for on probability and Ivars Peterson, from the Mathemat- billions of prime numbers are nonetheless false. As ical Association of America, a lecture on Geometreks.
6 P A R 2009 – 2010
e Séminaire de mathématiques supérieures (SMS), In all, 1,126 people took part in the activities of the organized by the CRM nearly every year, is an im- thematic, general, multidisciplinary and industrial pro- portant summer school, the oldest such school in the grams of the CRM during the 2009 – 2010 academic world (since the first one took place in 1962). Dur- year. To these participants one must add the thousands ing two weeks, this summer school gathers world- of people who aended the CRM colloquia, the labora- renowned mathematicians who teach mini-courses to tories seminars, and various schools. e CRM activi- a select audience comprising Ph.D. students, postdoc- ties aracted people from numerous countries on five toral fellows and promising young researchers. In June continents. and July 2009, the SMS was jointly sponsored by the e CRM is deeply grateful to the institutions that sup- CRM, the Institut des sciences mathématiques (ISM), port it, in particular NSERC (Canadian government), the Fields Institute, the National Science Foundation FQRNT (ébec government), NSF (United States gov- (NSF), the Université de Montréal, and the University ernment), the MITACS network, and partner universi- of Waterloo. e topic of the SMS (computational as- ties: Université de Montréal, UQÀM, Concordia Uni- L pects of automorphic forms and -functions) was re- versity, McGill University, Université Laval, Université lated to those studied during the thematic semester on de Sherbrooke, and the University of Oawa. number theory as experimental and applied science. e SMS was organized by Michael Rubinstein (from the University of Waterloo), Andreas Strombergsson François Lalonde (from Uppsala University), Henri Darmon and Eyal Director, CRM Goren (both from McGill University).
7 Thematic Program T P
core of each year’s scientific program at the CRM is its thematic program. In 2009 – 2010 the thematic T program consisted of two semesters: a semester on “Mathematical Problems in Imaging Science: From the Neuronal to the antum World” and a semester on “Number eory as Experimental and Applied Science.” e CRM is very grateful to the National Science Foundation (NSF) for providing generous financial support to the young American mathematicians who aended the activities of the thematic program in 2009 – 2010. e CRM is also grateful for the support extended to its thematic program by the following institutions: NSERC, FQRNT, MI- TACS, the Canadian Institute for Photonic Innovations (CIPI), Microso Research, Université de Montréal, McGill University, Concordia University, Université du ébec à Montréal, Université Laval, Université de Sherbrooke, and University of Oawa. e information provided below comes to a large extent from an article published in the Spring 2010 issue of the Bulletin du CRM (see the article by André Bandrauk, Christophe Grova, Misha Y. Ivanov, Frédéric Lesage, and Jean-Marc Lina) and the Fall 2010 issue of the Bulletin du CRM (see the article by Henri Darmon, Eyal Goren, Andrew Granville, and Michael Rubinstein). e reports are presented in the language in which they were submied.
Thematic Programs of the Year 2009 – 2010 “Mathematical Problems in Imaging Science” and “Number Theory as Experimental and Applied Science”
Mathematical Problems in Imaging Science: vances have broadened the imaging possibilities and From the Neuronal to the antum World allowed us to control molecular dynamics in spatial di- mensions and timescales that were previously out of Functional neuroimaging is a multidisciplinary re- reach (especially the quantum world of the electron). search field using mathematical modelling, signal and e thematic semester on imaging science also in- image processing, and statistical analysis, in order to in- cluded two series of Aisenstadt lectures, given re- terpret the data provided by various devices. e com- spectively by Stéphane Mallat (École Polytechnique & bination of these three branches of applied mathemat- Courant Institute (NYU)) and Claude Le Bris (École ics points to the complexity of neuroimaging, which des Ponts ParisTech). e organizing commiee of the also stems from the diversity of imaging modalities semester consisted of Sylvain Baillet (Medical College available to neuroscientists. Functional neuroimag- of Wisconsin), André Bandrauk (Université de Sher- ing relies on another branch of mathematics (i.e., in- brooke), Habib Benali (Université Pierre et Marie Cu- formation processing) to merge the data provided by rie), Christophe Grova (McGill University), Stéphane those modalities. In the last twenty years neuroimag- Jaffard (Université Paris-Est Créteil Val de Marne), ing has derived significant benefits from mathematics, Claude Le Bris, Frédéric Lesage (École Polytechnique thanks to the expansion of imaging technologies and de Montréal), Jean-Marc Lina (École de technologie su- the design of high-performance analytical methodolo- périeure), and Fred B. Schneider (Cornell University & gies. One of the aims of the organizers was to stim- NSF). ulate interdisciplinary exchanges by including clinical and cognitive aspects into the semester. Number Theory as Experimental and e first three workshops of the thematic semester Applied Science were respectively dedicated to three axes of neu- roimaging where mathematics plays a crucial role: e year 2010 marked the 50th anniversary of the pub- the modelling of the neuronal and vascular processes lication of Eugene Wigner’s famous essay on the “un- within the brain, the solution of inverse problems reasonable effectiveness of mathematics in the natu- in non-invasive imaging, and atomic decompostions ral sciences.” e intervening five decades have wit- for brain imaging. e fourth workshop of the nessed an explosion in the variety and scope of the ap- semester explored the mathematical problems aris- plications of mathematics, to the extent that one can ing from the advances in molecular imaging achieved now speak of an ongoing “mathematization” of many through state-of-the-art laser technology: these ad- branches of science and indeed of society as a whole.
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Number theory, traditionally viewed as far removed ways in which the field stands to be affected by the from the sphere of applications, now plays a central emergence of new soware and technologies. role in questions pertaining to the design of efficient e thematic semester on number theory as experi- networks as well as in areas like robotics, computer vi- mental and applied science included three courses, five sion, statistics, coding theory, computer security, and workshops, a summer school on automorphic forms cryptography. By extending the reach of calculation and L-functions (from June 22 to July 3, 2009), and lec- and the potential of the experimental method, ever- tures by the Aisenstadt Chairholder Akshay Venkatesh more powerful and sophisticated soware packages (in March 2010). e organizing commiee of the like M, M, and S are transforming the semester consisted of Henri Darmon and Eyal Goren way in which number theorists approach their subject. (both from McGill University), Andrew Granville (Uni- e thematic semester was devoted to recent develop- versité de Montréal), and Michael Rubinstein (Univer- ments in number theory with a specific focus on sig- sity of Waterloo). nificant practical applications, as well as on the many
Aisenstadt Chairholders in 2009 – 2010 Stéphane Mallat, Claude Le Bris, and Akshay Venkatesh
Stéphane Mallat and Claude Le Bris were the two Aisenstadt Chairholders for the semester on imaging science and Akshay Venkatesh was the Aisenstadt Chairholder for the semester on number theory.
Stéphane Mallat group of lectures was actually a mini-course on spar- sity for signal and image inverse problems. Stéphane Stéphane Mallat is one of the foremost experts in Mallat introduced mathematical and algorithmic tools wavelet theory, to which he made seminal contribu- for the solution of various inverse problems and dis- tions in the late 1980s and early 1990s. From 1986 to cussed open questions in this area. Here are the themes 1996 he was living in the United States, where he ob- of the five lectures. tained his doctorate. He held positions at the Courant • Sparse representations in signal and image process- Institute (NYU), Massachuses Institute of Technol- ing ogy, and Tel Aviv University. He is currently a pro- • Redundant dictionaries, geometry, and pursuit algo- fessor at the Centre de mathématiques appliquées of rithms the École Polytechnique. His research interests include • Super-resolution with sparsity applied mathematics, signal processing, music synthe- • Compressed sensing sis, image segmentation, and the emergence of geom- • Dictionary learning and source separation etry in relation to perception. Stéphane Mallat has Finally, on Friday aernoon, Stéphane Mallat gave a published more than 40 articles and a book entitled A lecture geared towards a general audience and enti- Wavelet Tour of Signal Processing. In 2001 he took part tled Grouping to perceive an incompressible world. In in the launching of the Let It Wave start-up, which he this conference, he explained that sparse approxima- then directed during six years. In 2007 Stéphane Mal- tions are efficient for low-level signal processing, but lat became again a full-time professor. Also in 2007, he much less so for paern recognition. More dimen- was awarded the Prize of the EADS Corporate Foun- sionality reduction is needed for large-scale paern dation for the Information Sciences. In 2010 Stéphane recognition and visual psychophysics and physiologi- Mallat was appointed Chairman of the Scientific Board cal finding highlight the importance of grouping mech- of the Fondation Sciences mathématiques de Paris. anisms. Grouping enables one to build signal represen- During his stay in Montréal, Stéphane Mallat gave tations for paern recognition and to optimize a metric six lectures within the workshop Dictionary of Atoms: adapted to recognition. New Trends in Advanced Signal Processing in Functional Brain Imaging (see p. 16 for a report on this workshop). From Monday, September 14, through Friday, Septem- ber 18, he gave a 90-minute lecture every day. is
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Claude Le Bris plishments of the past two decades in molecular mod- elling, from a mathematical perspective. He examined Claude Le Bris obtained his doctorate at the École Po- the main challenges of this field from the points of lytechnique in 1993 and his “habilitation” at the Uni- view of mathematical analysis and scientific comput- versité Paris-Dauphine in 1997. His research interests ing. Claude Le Bris demonstrated that even though it is include mathematical analysis and numerical methods not always possible to “see” the quantum scale, simu- for partial differential equations with applications to lating it provides more than a surrogate for vision and molecular simulation, multiscale problems, materials allows us to understand key phenomena. science, and continuum mechanics. He is a world au- On October 26, 2009, Claude Le Bris gave a lecture thority on the mathematics of quantum chemistry and within the Applied Mathematics Seminar. is lecture the computation of the electronic structure in quantum was entitled Multiscale Mechanics of Random Materials: physics. Claude Le Bris was awarded the Blaise Pascal A Mathematical Approach. In this lecture, Professor Prize by the French Academy of Sciences in 1999, the Le Bris gave an overview of some recent contributions CS 2002 Prize in Scientific Computing (by Communi- (both theoretical and numerical) to the field of stochas- cations & Systems), and the Giovanni Sacchi-Landria- tic homogenization. In particular he introduced some ni Prize by the Istituto Lombardo Accademia di Scien- variants of the theory of classical stochastic homoge- ze e Leere in 2002. He held several positions dur- nization and, on the numerical front, some approaches ing his career, in particular those of Civil Engineer-in- for acceleration of convergence in stochastic homoge- Chief and Research Scientist at the École Nationale des nization (representative volume element, variance re- Ponts et Chaussées and scientific leader of the MIC- duction, etc.). Finally, the last Aisenstadt lecture by MAC project at INRIA. He was a member of the scien- Professor Le Bris took place at the Université de Sher- tific program commiee of several international con- brooke. It was entitled e antum World and Its ferences (such as ICIAM 2011 and SIAM MMS 2008) Relation to Macroscopic Physics: e Example of Ma- and thematic programs (such as those organized by terials Science. In this lecture Professor Le Bris pre- the CRM in Montéal, the IMA in Minneapolis, and the sented modelling and numerical strategies that cou- BICMR in Beijing). He has had extensive editorial ac- ple length scales, and possibly time scales, thus giving tivity as Co-Editor-in-Chief of Mathematical Modelling birth to a new generation of multiscale models. is and Numerical Analysis and Editor-in-Chief of Applied coupling enables scientists to insert into models at rel- Mathematics Research eXpress. He has supervised 12 atively large scales the information provided by molec- doctoral students. He is also the author of five books, ular modelling at the quantum and classical scales. 80 articles in international journals, 20 articles in books and conference proceedings, and he has given 90 in- vited lectures at international conferences. Akshay Venkatesh e first Aisenstadt lecture given by Professor Le Bris (on October 22, 2009) was entitled Computational Professor Venkatesh is a leading expert in the fields antum Chemistry and Physics: Mathematical and of automorphic forms and representation theory, with Numerical Accomplishments and Challenges. Compu- emphasis on the enumeration of arithmetic objects tational chemistry and physics provide scientists with counted by rational points on algebraic varieties, the qualitatively and quantitatively correct informations analytic theory of automorphic forms (along with its that can be used to understand maer. Molecular relation to quantum chaos and geodesic flows), L-func- electronic theory, however, was until recently poorly tions, and applications to spectral theory and equidis- known by mathematicians and computer scientists. tribution. He held a Clay Research Fellowship from Claude Le Bris explained to his audience that the sit- 2004 to 2006, and was an associate professor at the uation is now different and presented some success Courant Institute at New York University. Professor stories at the intersection of mathematics, chemistry, Venkatesh is now a professor at Stanford University. and physics. e second lecture by Professor Le Bris He was awarded the Salem Prize and the Packard Fel- (on October 23, 2009) was geared towards a general lowship in 2007, and the 2008 SASTRA Ramanujan audience and was entitled Seeing (and Understanding) Prize. the Invisible: e antum World. In this second lec- Professor Venkatesh gave three beautiful lectures at ture, Professor Le Bris presented the major accom- the CRM, during the workshop on computer methods
11 C for L-functions and automorphic forms, held on March Aisenstadt Chair 22 – 26, 2010 (see p. 20 for a report on this workshop). His first lecture, entitled Playing with Numbers: Some e Aisenstadt Chair was endowed by Montréal phi- Glimpses of Experimental Number eory, was broadly lanthropist Dr. André Aisenstadt. Under its auspices, accessible and sparked many lively mathematical dis- one or more distinguished mathematicians are in- cussions at the reception following the lecture. In this vited each year for a period of at least one week, first lecture Professor Venkatesh considered the infa- ideally one or two months. During their stay the mous Pell equation and methods for guessing the size lecturers present a series of lectures on a specialized of the smallest solution of some equations. He de- topic. ey are also invited to prepare a monograph scribed a heuristic that predicts the size of the smallest (see the Section on publications in the present report solution; this heuristic is actually correct for all small for a list of these monographs). At the request of values of a parameter d. He then told his audience Dr. Aisenstadt, the first lecture given by an Aisenstadt that this heuristic can be generalized to an extraordi- Chairholder should be accessible to a wide audience. nary extent and described the links between this topic Previous holders of the Aisenstadt Chair are: Marc and the work of Birch and Swinnerton-Dyer, which led Kac, Eduardo Zarantonello, Robert Hermann, Marcos to the Birch – Swinnerton-Dyer Conjecture. Professor Moshinsky, Sybren de Groot, Donald Knuth, Jacques- ′ Venkatesh also spoke about the unpredictability of cu- Louis Lions, R. Tyrrell Rockafellar, Yuval Ne eman, bic equations and the fact that even calculations can be Gian-Carlo Rota, Laurent Schwartz, Gérard Debreu, misleading (it was only recently discovered, through Philip Holmes, Ronald Graham, Robert Langlands, computations, that 30 is the sum of three cubes). Yuri Manin, Jerrold Marsden, Dan Voiculescu, James Arthur, Eugene B. Dynkin, David P. Ruelle, Robert e second lecture by Professor Venkatesh dealt with Bryant, Blaine Lawson, Yves Meyer, Ioannis Karatzas, the torsion in cohomology of arithmetic groups, a topic László Babai, Efim I. Zelmanov, Peter Hall, David Cox, that is still poorly understood but has generated a great Frans Oort, Joel S. Feldman, Roman Jackiw, Duong H. deal of interest because of its tantalizing connections Phong, Michael S. Waterman, Arthur T. Winfree, Ed- to the arithmetic of finite extensions of the rational ward Frenkel, Laurent Lafforgue, George Lusztig, Lás- numbers and so-called Galois extensions. Professor zló Lovász, Endre Szemerédi, Peter Sarnak, Shing- Venkatesh devoted his third lecture to statistics of Ga- Tung Yau, omas Yizhao Hou, Andrew J. Majda, Man- lois groups. e problem he addressed is the follow- jul Bhargava, K. Soundararajan, Terence Tao, Noga ing: given a finite group G, evaluate the number of Alon, Paul Seymour, Richard Stanley, John J. Tyson, number fields K/Q of degree d such that their Ga- John Rinzel, Gerhard Huisken, Jean-Christophe Yoc- lois closure over Q has Galois group isomorphic to G. coz, Wendelin Werner, Andrei Okounkov, Svante Jan- For a detailed description of the lectures by Professor son, and Craig Tracy. Venkatesh, we refer the reader to the Spring 2010 issue of the Bulletin du CRM (see the article by Henri Dar- mon, Eyal Goren, and Andrew Granville, of which the present report is a summary).
Activities of the Two Thematic Semesters
SMS 2009 Summer School Organizing Commiee: Automorphic Forms and L-functions: Michael Rubinstein (Waterloo), Andreas Strömbergs- Computational Aspects son (Uppsala) June 22 – July 3, 2009, CRM Local Organizers: Sponsored by the CRM, the Fields Institute, the Ins- Henri Darmon & Eyal Goren (McGill) titut des sciences mathématiques (ISM), the National Speakers: Science Foundation (NSF), the Université de Montréal, Andrew Booker (Bristol), Henri Darmon, Noam D. and the University of Waterloo Elkies (Harvard), Dorian Goldfeld (Columbia), Eyal Goren, Dennis A. Hejhal (Minnesota), Kamal Khuri-Makdisi (AUB), Erez Lapid (HUJI), Michael Ru-
12 T P binstein, Harold Stark (Clark), Fredrik Strömberg (TU • Audrey Terras discussed zeta and L-functions of Darmstadt), Andreas Strömbergsson, Audrey Terras graphs. (UCSD), Akshay Venkatesh (Stanford), John Voight • Harold Stark gave an overview on Artin L-functions. (Vermont) • Kamal Khuri-Makdisi spoke about modular interpre- Number of participants: 68 tation and equations for modular varieties.
is summer school brought together a number of ex- In addition, two shorter talks were given present- perts who have been leaders in both the theoretical ing fairly recent breakthroughs in the computation of L and computational aspects of the theory of automor- -functions. In the first talk, Ghaith Hiary (from the phic forms and L-functions. Each of them gave courses University of Waterloo) reported on his new algorithm lasting between 3 and 5 hours; the aim of those courses for fast computation of the Riemann zeta function on was to present graduate students and post-doctoral fel- the critical line. e time complexity of his algorithm is a function with exponent 4/13, while the best ex- lows with the state of the art in the subject and to re- 1 port on new advances that have not yet been covered ponent previously known was 3 . In the second talk, in a forum of this kind. Pankaj Vishe (from New York University) reported on a new fast algorithm for computation of the L-function A total of fieen speakers covered the theory of auto- associated to a modular form (holomorphic or non- morphic forms and L-functions from various perspec- holomorphic). Also Andrew Booker in his last talk pre- tives: analytic, arithmetic, and algebraic, with a focus sented his fairly recent breakthrough (jointly achieved on techniques for their numerical evaluation. e pro- with Ce Bian): he is able to compute the first few gen- gram for the two weeks was as follows. uine GL(3) L-functions. • Eyal Goren and Henri Darmon gave introductory Among the 68 participants, 24 were from Canada, 16 courses on elliptic curves, holomorphic modular from the USA, 22 from Europe, of which 9 were funded forms, and L-functions. by the Algant program (“Algebra, Geometry and Num- • Dorian Goldfeld spoke on automorphic forms and ber eory,” a part of the European Erasmus Mundus L-functions in higher rank, covering material from Programme), and 6 from other parts of the world. e the first half of his recent book Automorphic forms organizers received feedback from a number of stu- and L-functions for the group GL(n), and also dis- dents and postdocs who had aended the summer cussing the translation between classical language school. All were very pleased with the structure and and adelic language. content of the program and several of them stated that • Fredrik Strömberg discussed Maass waveforms for it was the most useful and interesting summer school Z SL(2, ) and subgroups from a computational point they had aended. of view; one additional lecture within this course was given by Dennis Hejhal. Workshop • Noam Elkies lectured on K3 surfaces of high Picard Brain Activity Modelling: From Fine to number and their moduli. Coarse Scale • Michael Rubinstein spoke about algorithms for the August 17 – 22, 2009, CRM computation of L-functions. Sponsored by the CRM and MITACS • Akshay Venkatesh covered the theory of Eisenstein series. Organizers: • John Voight gave a course on the algorithmic theory Habib Benali (FMPMC Pitié-Salpêtrière), eodore of quaternion algebras. J. Huppert (UPCM), Frédéric Lesage (Polytechnique • Andrew Booker presented techniques from Fourier Montréal) analysis, such as the FFT and band limited interpo- Speakers: lation, for computing L-functions, and discussed his Beau Ances (WUSTL), David Boas (Harvard), Richard work with Ce Bian for finding GL(3) Maass forms. B. Buxton (UCSD), Julien Cohen-Adad (Harvard), • Erez Lapid talked about the Arthur – Selberg trace Mathieu Dehaes (Inserm & UPMC), Hélène Girouard formula and some of its applications. (Montréal), Edith Hamel (McGill), Richard Hoge • Andreas Strömbergsson lectured on computations (Montréal), eodore J. Huppert, Renaud Jolivet (Uni- using the Selberg Trace Formula. versitätsSpital Zürich), Srinivas Laxminarayan (North-
13 C eastern), Jean-Marc Lina (ÉTS), Réjean Plamondon RMN, MEG/EEG, Imagerie Optique Diffuse) ne peut (Polytechnique Montréal), Jorge Riera (Tohoku), Amir faire l’économie d’une modélisation mathématique des Shmuel (McGill), Ying Zheng (Sheffield) processus physiologiques cérébraux. Ces modèles du Number of participants: 62 tissu cérébral relient les différents compartiments de l’électrophysiologie au métabolisme énergétique et à Le premier atelier du semestre sur l’imagerie fut orga- l’hémodynamique. Ils se déclinent sous forme de sys- nisé par Frédéric Lesage, eodore Huppert et Habib tèmes d’équations différentielles dont la complexité ne Benali. Notre compréhension du cerveau humain et la réside pas tant dans leur nombre que dans leur cou- capacité de mesurer l’activation neuronale ont évolué plage et leur non linéarité intrinsèque. Le but de cet de façon significative au cours des dernières années. atelier était de faire le point sur ces modèles dyna- Ces développements sont liés à l’évolution de tech- miques en les confrontant avec les différentes moda- niques non invasives de mesure incluant l’ÉlectroEn- lités de mesure de l’activité cérébrale. céphaloGraphie (EEG), la MagnétoEncéphaloGraphie (MEG), la Tomographie par Émission de Positrons L’atelier commença par un retour sur les processus bio- (TEP), l’Imagerie par Résonance Magnétique fonction- logiques et biochimiques impliqués dans la réponse hé- nelle (IRM) et l’Imagerie Optique Diffuse (IOD). Ce re- modynamique (dans l’exposé d’Edith Hamel) et leurs gard sur le cerveau a permis une meilleure compréhen- modélisations (dans l’exposé de Renaud Jolivet). Il s’est sion du traitement effectué par le cerveau en réponse ensuite concentré sur les méthodes permeant de ca- à une stimulation, avec, comme conséquence, l’émer- ractériser ces processus par l’imagerie. Plusieurs mé- gence d’une description détaillée de la réponse neuro- thodes ont été proposées afin de pallier aux difficultés nale, métabolique et vasculaire. rencontrées et la plupart de celles-ci furent explorées par les conférenciers. Dans certains cas, elles cherchent Cee description demeure incomplète. Les techniques à maximiser le nombre de paramètres observés afin de d’EEG et de MEG mesurent la réponse électrophy- mieux distinguer les facteurs physiologiques qui obs- siologique avec une grande précision temporelle mais curcissent la réponse neurale ; ces méthodes formaient offrent une résolution spatiale limitée. Les techniques le sujet des exposés de David Boas, Amir Shmuel et de TEP, IRMf et IOD permeent de mesurer les ré- Jorge Riera. Par exemple, l’utilisation d’une prépara- ponses métabolique et hémodynamique, dans certains tion d’hypercapnie permet de modifier le débit sanguin cas avec une grande précision spatiale (IRM), mais cérébral sans affecter le métabolisme sous-jacent (tel au prix d’une perte en résolution temporelle et d’un qu’expliqué dans l’exposé de Richard Hoge). En utili- regard indirect sur l’activation neuronale. Les études sant une séquence IRM mesurant à la fois le signal dé- neuronales basées sur l’hémodynamique font donc pendant du niveau d’oxygénation du sang (BOLD) et face à un défi d’interprétation mais sont largement uti- le débit sanguin (ASL), Richard Buxton a montré dans lisées dans la communauté. En particulier, l’imagerie à son exposé qu’il était possible d’estimer une constante résonance magnétique (IRM) de type BOLD a vu son de couplage et donc le CMRO2. Cee technique ne ré- applicabilité exploser au cours des dernières années. sout pas tous les problèmes : en particulier, elle utilise Malgré sa grande popularité, l’interaction entre l’acti- une relation (la relation de Grubb entre le débit et le vation neuronale, le débit sanguin, la consommation volume sanguin) qui varie d’un individu à l’autre et d’oxygène et le volume sanguin limitent son interpré- est sujee à modification dans les populations âgées. tation et plusieurs études récentes cherchent à mieux La recherche d’autres options et leurs validations sont caractériser ces relations. La modélisation de l’inter- donc nécessaires, ainsi que eodore Huppert l’a mon- action entre débit sanguin, volume sanguin et oxygé- tré dans son exposé. nation est essentielle afin de distinguer, dans la ré- ponse, les effets de l’anatomie vasculaire des proces- La modélisation des processus biochimiques de la ré- sus métaboliques sous-jacents (CMRO2). Cee obser- ponse vasculaire à une activation neuronale, le proces- vation n’est pas naïve : l’utilisation de l’IRM pour ca- sus de consommation d’oxygène, et la quantification ractériser les maladies ou le vieillissement nécessite de la relation entre l’activité neuronale et la réponse cee quantification du signal. hémodynamique ont tous fait l’objet de séminaires qui permeaient non seulement d’aborder la modélisation Pour cee raison, l’interprétation des signaux en des mesures mais aussi de confronter cee modéli- imagerie fonctionnelle cérébrale (IRMf, Spectroscopie sation aux données expérimentales les plus récentes.
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Les commentaires des participants, leur grand nombre différents compartiments (neuronal, hémodynamique, (62), et l’intérêt montré tout au long de l’atelier dé- métabolique) des modèles actuels. montrent qu’il a connu un grand succès. En particu- En invitant Jorge Riera, Nelson Trujillo-Barreto et Jean lier, les longs séminaires (d’une durée de deux heures Daunizeau à présenter leurs travaux, les organisateurs et un quart) donnant une introduction aux domaines de de l’atelier ont mis l’accent sur les modèles avancés recherche ont permis de rejoindre cet auditoire inter- pour décrire aux échelles les plus petites les généra- disciplinaire. Plus de la moitié des participants étaient teurs de l’activité bioélectrique mesurable par les tech- des étudiants aux cycles supérieurs. niques d’EEG et de MEG. La formulation numérique du problème direct exprimant la relation entre ces sources Workshop intracérébrales et les mesures électromagnétiques de Inverse Problems in Brain Imaging and l’EEG et de la MEG fut présentée par Jan De Munck Multimodal Fusion et Mai Hamalainen, qui airèrent l’aention de l’au- August 24 – 29, 2009, CRM ditoire sur les performances de l’approche BEM (par Sponsored by the CRM and MITACS « élements finis de frontière ») pour la résolution des Organizers: équations de Maxwell dans une modélisation réaliste Sylvain Baillet (MCW), Christophe Grova (McGill), de la tête. Cee formulation acquise, la localisation de Jean-Marc Lina (ÉTS) l’activité cérébrale consiste à résoudre le problème in- Speakers: verse, intrinsèquement mal posé. Sylvain Baillet, Doug Cheyne (Toronto), Sarang Dalal Outre Mai Hamalainen, qui présenta les grandes (Inserm), Jean Daunizeau (UC London), Jan De Munck lignes des techniques habituelles de régularisation, (VU Amsterdam), Alexandre Gramfort (INRIA Saclay), l’atelier réunit les experts des approches les plus sou- Stéphane Grimault (Montréal), Christophe Grova, Ra- vent utilisées dans le contexte de l’imagerie fonction- mon Guevara (UBC), Mai Hamalainen (Harvard), nelle. Ainsi John Mosher et Doug Cheyne présentèrent Eliane Kobayashi (McGill), Jean-Marc Lina, John les avantages du filtrage des données de la MEG et Mosher (Cleveland Clinic), Srikantan Nagarajan l’EEG dans l’approche Beamformer, Srikantan Naga- (UCSF), Jorge Riera (Tohoku), Hermann Stefan (Erlan- rajan et Nelson Trujillo-Barreto présentèrent l’état de gen-Nürnberg), Samu Taulu (Elekta Neuromag Oy), l’art dans les approches probabilistes bayésiennes, et Nelson Jesus Trujillo-Barreto (CNEURO), Zhigang Yao Sylvain Baillet présenta une technique par flot optique (Pisburgh) permeant une description particulièrement novatrice Number of participants: 67 de la dynamique fonctionnelle. Christophe Grova et Jean-Marc Lina, quant à eux, présentèrent les derniers Cet atelier fut dédié à la mémoire de Keith Worsley, résultats en fusion MEG et EEG dans une approche professeur à l’Université McGill, et de Line Garnero, d’inférence par maximum d’entropie. Les aspects nu- chercheur au CNRS. Les enjeux cliniques ainsi que les mériques d’optimisation furent abordés par Alexandre problématiques liées aux neurosciences cognitives jus- Gramfort alors que les enjeux cliniques (concernant tifient les efforts constants pour définir le cadre métho- l’épilepsie) et de neurosciences (concernant la mé- dologique de la quantification locale de l’activité céré- moire) firent l’objet des exposés d’Eliane Kobayashi et brale à partir des mesures non invasives et des ima- de Stéphane Grimault. Ces exposés placèrent la problé- geurs 3D mentionnés ci-dessus (EEG, MEG, IOD, IRMf, matique de la localisation de l’activité cérébrale dans TEP). L’information produite par les imageurs (IRMf son véritable contexte, tout en justifiant les travaux et TEP) est assez bien localisée dans le volume céré- méthodologiques et mathématiques des exposés pré- bral mais partielle, voire spécifique à certains aspects cédents. du fonctionnement, et doit être fusionnée avec les me- sures non invasives. L’imagerie cérébrale se trouve L’atelier inclut notamment les présentations orales de ainsi au carrefour de plusieurs disciplines et probléma- 12 conférenciers invités (y compris 5 cours complets de tiques dont l’objectif est de donner une carte de l’ac- trois heures donnés par des chercheurs mondialement tivité du cerveau la plus juste possible des points de reconnus en résolution du problème inverse en électro- vue spatial et temportel, et qui prenne en compte les physiologie), 10 conférences d’une heure sur des sujets plus spécifiques ou appliqués, et quatre tables rondes (dont certaines furent enflammées !). Un des conféren-
15 C ciers, John Mosher, confia à Christophe Grova qu’il Le troisième atelier du semestre sur l’imagerie portait avait mis en place une étude spécifique pour répondre donc sur l’échantillonnage parcimonieux (compressed à une question posée pendant ces tables rondes ; les sensing) et la résolution de problèmes inverses, dans résultats de cee étude ont été présentés lors de la le contexte des neurosciences. Ce contexte fut intro- conférence internationale Biomag 2010 (à Dubrovnik, duit grâce aux deux exposés de Dimitri Van De Ville. en avril 2010). Malgré un programme plutôt chargé, la Le premier portait sur l’analyse espace-échelle (onde- participation fut excellente tout au long de la semaine, lees) en Imagerie de Résonance Magnétique fonction- et la plupart des participants demandèrent spontané- nelle ; le second présentait la construction d’atomes ment quand aurait lieu le prochain atelier de ce genre fonctionnels spécifiques à la modélisation des réponses au CRM. hémodynamiques. Le contexte des neurosciences fut également présenté par Arnaud Delorme, spécialiste Workshop des analyses temps-fréquence en électrophysiologie. Dictionary of Atoms: New Trends in La transition vers la compression parcimonieuse du Advanced Signal Processing in Functional point de vue mathématique fut assurée par Michael Brain Imaging Lustig, qui présenta ses travaux de pionnier sur l’ap- September 14 – 19, 2009, CRM plication de l’échantillonnage parcimonieux en IRM. Sponsored by the CRM and MITACS Cet exemple illustrait parfaitement l’enjeu de l’échan- tillonnage parcimonieux, qui consiste à revisiter le Organizers: théorème de l’échantillonnage de Nyquist-Shannon en Stéphane Jaffard (UPEC), Frédéric Lesage (Polytech- tenant compte de la compressibilité de l’information nique Montréal), Jean-Marc Lina (ÉTS) mesurée. Speakers: Farras Abdelnour (Pisburgh), Richard G. Baraniuk L’exposé de Ronald DeVore a su remere en pers- (Rice), Andrew Bolstad (MIT), Maureen Clerc (IN- pective les fondements de l’échantillonnage parcimo- RIA Sophia Antipolis), Arnaud Delorme (Paul Sabatier nieux et les conditions de reconstruction (décodage) & CNRS), Ronald A. DeVore (South Carolina), Rémi du signal échantillonné parcimonieusement. Ces as- Gribonval (INRIA Rennes), Stéphane Jaffard, Michael pects furent aussi couverts en détail par Rémi Gribon- Lustig (Stanford), Stéphane Mallat (École Polytech- val, dont les trois exposés couvrirent autant la théorie nique), Dimitri Van De Ville (EPFL), Fabrice Wendling que les applications en traitement du signal (la sépara- (Inserm & Rennes 1) tion de sources, notamment). Les présentations de Ri- Number of participants: 45 chard Baraniuk plaçèrent l’échantillonnage parcimo- nieux dans le contexte de la modélisation des signaux Pendant la dernière décennie, les signaux bioélec- et des questions de réduction dimensionnelle. Les pré- triques tels que ceux de l’EEG illustrèrent une des pro- sentations de Maureen Clerc et d’Andrew Bolstad re- blématiques du traitement du signal les plus intéres- prirent l’analyse temps-fréquence dans le contexte de santes. En effet, la mesure de l’activité de plusieurs l’étude des signaux électrophysiologiques. L’exposé de milliards de neurones à partir de quelques capteurs de Fabrice Wendling porta sur la modélisation de ces si- potentiel électrique placés sur la surface de la tête est gnaux dans le contexte de l’épilepsie et suggéra des une réduction dimensionnelle considérable, qui devrait problématiques pratiques à la communauté des mathé- compromere toute tentative de localisation de cee maticiens participant à l’atelier. activité par EEG. Le second atelier du semestre sur L’atelier bénéficia de la présence de Stéphane Mallat, l’imagerie (voir ci-dessus), qui portait sur les méthodes titulaire de la chaire Aisenstadt, dont les exposés por- de localisation de sources cérébrales à partir des me- tèrent, de manière générale, sur la résolution de pro- sures électrophysiologiques, a montré qu’il était pos- blèmes inverses du point de vue théorique (sous l’angle sible de résoudre ces problèmes inverses et que, dans de la mesure parcimonieuse) et du point de vue pra- une certaine mesure, cee réduction dimensionnelle tique (c’est-à-dire de la compression d’images). préservait l’information pertinente de l’activité neuro- nale. Ce point de vue, bien qu’intuitif, est intimement relié à la notion de compression.
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Workshop Dirac equations (for relativistic phenomena) coupled antum Dynamic Imaging with Maxwell equations (to take photons into account). October 19 – 23, 2009, CRM e speakers who were invited to the workshop are Sponsored by the CRM, the Canadian Institute for Pho- acknowledged experts in the development of the the- tonic Innovations (CIPI), the NSF, and the Université ories and numerical methods necessary for treating de Sherbrooke photon-atom-molecule interactions in the nonlinear Organizers: non-perturbative regime. In particular the generation André Bandrauk (Sherbrooke), Misha Y. Ivanov (Impe- of aosecond pulses is a spin-off of such theories of rial College London), Claude Le Bris (École des Ponts the nonlinear non-perturbative laser-maer interac- ParisTech), Fred B. Schneider (Cornell & NSF) tions. e workshop was further enhanced by two Speakers: Aisenstadt Chair lectures delivered by Claude Le Bris. Klaus Bartschat (Drake), Heiko Bauke (MPI Kern- He described the mathematical problems and progress physik), omas Brabec (Oawa), Tucker Carring- in developing and validating numerical methods for ton (een’s), Szczepan Chelkowski (Sherbrooke), imaging quantum phenomena with sub-femtosecond Agapi Emmanouilidou (UC London), Farhad Faisal temporal and sub-ångström spatial resolution. In ad- (Bielefeld), Hans-Christian Hege (Zuse-Institut Berlin), dition to the 23 invited lectures, six post-doctoral fel- Christoph H. Keitel (MPI Kernphysik), Jean-Claude lows were invited to give presentations of their most Kieffer (INRS-EMT), Michael Koppitz (Zuse-Institut recent work. Of further interest to the workshop par- Berlin), Claude Le Bris, Catherine Lefebvre (Sher- ticipants were three lectures by information technol- brooke), François Légaré (INRS-EMT), Chii-Dong Lin ogy experts. ese experts addressed a very important (Kansas State), Emmanuel Lorin de la Grandmai- problem: that of using the quantum imaging methods son (Carleton), Jörn Manz (FU Berlin), Alfred Ma- discussed in the workshop and the massive amount quet (UPMC), T. Tung Nguyen-Dang (Laval), Re- of multidimensional information encoded in the time- nate Pazourek (TU Wien), Fred B. Schneider, Olga dependent many-body wavefunctions for the eventual Smirnova (Max-Born-Institut), Anthony F. Starace production of “molecular movies.” is is a new direc- (Nebraska), Kazuo Takatsuka (Tokyo), Ken Taylor tion in molecular imaging, whose aim is to make quan- (een’s, Belfast), Jonathan Tennyson (UC London), tum information available to researchers in the molec- Turgay Ahmet Uzer (Georgia Tech), Zachary Walters ular sciences, allowing them to visualize quantum phe- (Max-Born-Institut), Djemel Ziou (Sherbrooke) nomena in their natural (from the femto to aosecond) Number of participants: 65 timescale. is workshop, the first of its kind ever held in Canada, e organizers (A. Bandrauk, M. Ivanov, C. Le Bris, and focused on the theoretical and mathematical problems F. Schneider) are very grateful for the financial support associated with the imaging of quantum phenomena extended by the NSF, the Canadian Institute for Pho- in maer from the femtosecond scale (10−15 s) for nu- tonic Innovations (CIPI), the Université de Sherbrooke, clear motion to the aosecond scale (10−18 s) for elec- and NSERC, which supports (among other endeavours) tron motion. Motion of a proton (one of the most im- the CRM thematic program. portant nuclei) and motions in chemistry and biology (e.g., DNA) have a natural time scale of 7 femtosec- Course onds. Motion of electrons, responsible for chemical Expander Graphs binding and electron transfer processes in natural phe- January 4 – February 26, 2010 nomena, has a characteristic time scale of about 100 aoseconds (it takes an electron 152 aoseconds to go Lecturer: Eyal Goren (McGill) around the hydrogen atom). Both proton and electron Number of participants: 15 motion can only be described by quantum mechan- e mini-course on expander graphs consisted of 10 ics, i.e., by high-dimensional partial differential equa- hours giving an overview of some of the main top- tions (HDPDEs). Furthermore such motions can only ics in this area (Ramanujan graphs and complexes, the be monitored by ultrashort laser pulses. us the inter- Alon – Boppana theorem and the spectrum of infinite action of maer with such pulses can only be described trees, known constructions of Ramanujan graphs, the by HDPDEs such as time-dependent Schrödinger and
17 C zig-zag product, Cayley graphs and expansion), and a Organizers: report on very recent breakthroughs concerning ex- Mahew Greenberg (Calgary), Xavier-François Roblot pansion in finite simple groups. In addition, certain (Lyon 1), Mark Watkins (Sydney), Christian Wuthrich applications of expander graphs were presented. e (Noingham) program was organized so as to serve as preparation Speakers: and motivation for the CRM workshop on graphs and Joël Bellaiche (Brandeis), Bryden Cais (McGill), Hugo arithmetic, which took place on March 8 – 12, 2010. Chapdelaine (Laval), John H. Coates (Cambridge), e participants included about 10 graduate students Henri Darmon (McGill), Samit Dasgupta (UC Santa and 5 postdoctoral fellows. Cruz), Lassina Dembélé (Duisburg-Essen), Mahew Greenberg, Ralph Greenberg (Washington), Masato Course Kurihara (Keio), Zhibin Liang (Capital Normal), Marc Computational Aspects of aternion Masdeu Sabaté (McGill), Kazuo Matsuno (Tsuda Col- Algebras and Shimura Curves lege), Jeehoon Park (McGill), Glenn Stevens (Boston), January 4 - April 30, 2010 Lawrence C. Washington (Maryland), Mark Watkins, Christian Wuthrich Lecturer: John Voight (Vermont) Number of participants: 46 Number of participants: 15 To kick off its thematic semester on Number eory as e graduate course Computational Aspects of ater- an Experimental and Applied Science, the CRM played nion Algebras and Shimura Curves was very success- host to the Magma 2010 Conference on p-adic L-func- ful. We covered a variety of subjects in four months, tions. is conference brought together forty partic- including the basic theory of quaternion algebras ipants, both students and researchers, from Australia, over fields and the relationship to quadratic forms, Canada, China, England, France, Japan, and the United the structure theory of quaternion algebras and or- States, with the goal of developing applications of com- ders over local and global fields, graphs, adelic meth- puter algebra and “p-adic numerical analysis” to fun- ods (Eichler’s theorem of norms, strong approxima- damental problems of number theory. tion, and the mass formula), quaternion unit groups, e conference opened with a wide-ranging lecture by Shimura curves, and the relationship to supersingular Henri Darmon on the application of p-adic L-func- elliptic curves and theta functions. ese topics were tions to the explicit construction of many gems of closely related to the five week-long workshops that arithmetic, from units in rings of algebraic integers were held during this period. to rational points on abelian varieties. is theme roughout the course we stressed explicit methods. was expanded upon in the lectures of Hugo Chapde- We met twice in the lab to work with the algorithms laine, Samit Dasgupta, and Marc Masdeu Sabaté. An- in practice, and in the second lab the participants were other major theme of the conference was the interplay invited to solve the class number 1 problem for ternary between theoretical insight and advances in explicit quadratic forms over the rational numbers, combining computation. is was particularly evident in a se- the theory learned in the classroom and computation. quence of lectures dealing with overconvergent modu- e graduate students enrolled in the course were very lar symbols. Joël Bellaïche lectured on an exciting new pleased with it. For instance, a master’s student com- theoretical development, namely the application of mented that he had learned a lot of material for his fu- the theory of overconvergent modular symbols to the ture research, another that the course content would construction of critical p-adic L-functions. Mahew be immediately useful to him, and a third one that the Greenberg and Glenn Stevens discussed other aspects course was “very timely” in terms of his thesis work. of these symbols, focusing on their explicit nature and their suitability for implementation in computer alge- bra systems. MAGMA 2010 Conference on p-adic L-functions Iwasawa theory also featured prominently in the pro- February 22 – 26, 2010, CRM gram. In a talk with the provocative title Why Iwasawa Sponsored by the M Computer Algebra Group of eorists Need p-adic L-Functions, Christian Wuthrich the University of Sydney convinced the Iwasawa theorists that they do need
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L-functions. Expanding on this theme, Lawrence curves. is method was presented by Aurel Page. Washington spoke about a question in algebraic num- e methods based on p-adic cohomology (which is ber theory motivated by Iwasawa theory while Ralph closely related to the de Rham cohomology of the va- Greenberg gave constructions for (analytic and alge- riety computed with differential forms, and seems bet- braic) p-adic L-functions associated with Artin repre- ter suited for explicit computations) were presented by sentations. On the computational side, Kazuo Matsuno the other lecturers. Darmon talked about the AGM discussed 2-adic cyclotomic µ-invariants of ordinary method of Satoh based on the arithmetic-geometric elliptic curves while Zhibin Liang explained the the- mean, and Logan talked about the approach of Lauder ory and calculations related to the conjecture of Birch exploiting the differential equation associated to the and Swinnerton-Dyer for elliptic curves with complex Gauss–Manin connection for computing the zeta func- multiplication. tions of the varieties as a whole. Topics related to p-adic automorphic forms and p-adic Workshop on Graphs and Arithmetic Hodge theory were also on the agenda. Jeehoon Park March 8 – 12, 2010, CRM presented a construction of Teitelbaum-type L-invari- Sponsored by the CRM and the NSF ants for Hilbert modular forms on definite quater- nion algebras. Lassina Dembélé gave evidence for Organizers: a multiplicity one conjecture for mod p quaternionic Eyal Goren (McGill), Andrew Granville (Montréal), automorphic forms. Bryden Cais discussed connec- Weng-Ching Winnie Li (Penn State) tions between Hida families of modular forms and Speakers: p-adic Hodge theory. e conference was capped off Omer Angel (UBC), Jean Bourgain (IAS), Boris Bukh by a wonderful colloquium lecture delivered by John (Cambridge), Mei-Chu Chang (UC Riverside), Anne Coates on the past, present, and future of Iwasawa the- de Roton (Henri Poincaré), Yang Fang (Penn State), ory and p-adic L-functions. e hospitality and excel- Elena Fuchs (Princeton), Alexei Glibichuk (UNAM), lent environment for scientific exchange provided by Harald Andrés Helfgo (Bristol), Jerome William Hoff- the CRM were appreciated by all and facilitated a pro- man (Louisiana State), Ming-Hsuan Kang (Penn State), ductive and highly successful conference. Dubi Kelmer (Chicago), Alex Kontorovich (Brown), Weng-Ching Winnie Li, Alex Lubotzky (HUJI), M. Ram Course Murty (een’s), László Pyber (Alfréd Rényi), Igor Point Counting and Cohomology Shparlinski (Macquarie), Adrian Ubis (UA Madrid), March 1 – April 30, 2010 Peter Varju (Princeton), Chian-Jen Wang (NTHU), Gilles Zémor (Bordeaux 1), Tamar Ziegler (Technion) Organizer: Henri Darmon (McGill) Number of participants: 52 Speakers: Francesc Castella (McGill), Henri Darmon, Adam Lo- e connections between graphs and arithmetic e- gan (Waterloo), Aurel Page (Bordeaux 1) merged from several directions, via explicit construc- Number of participants: 10 tions, via uniformization, and via arithmetic proper- ties of subgroups of Lie groups. Ultimately, all these is mini-course consisted of 10 hours of lectures results rest on spectral properties or structural proper- given by Henri Darmon (4 hours), Aurel Page (2 hours), ties of algebraic groups, where the crucial input is of- Francesc Castella (2 hours), and Adam Logan (2 hours). ten supplied by number theory (in the wide sense) and e mini-course discussed point counting algorithms algebraic geometry. e theory of expander graphs for varieties over finite fields arising from (etale and has fertilized number theory, geometry, and theoreti- p-adic) cohomology and was an introduction to the cal computer science. is workshop had several focal workshop on the same topic (see below). e basic points: (i) Ramanujan complexes; (ii) expansion in fi- principle used by all those algorithms is that the zeta nite simple groups and in Lie groups; (iii) connection function of a variety over a finite field is the character- between expanders and geometry; and (iv) the affine istic polynomial of the Frobenius endomorphism act- sieve. It also included lectures on related topics that ing on the cohomology of the variety. e first point do not fall under these classifications, notably: (a) the counting method is based on the l-adic cohomology; lecture by Tamar Ziegler, who reported on the spectac- it is due to Schoof, and works well only for elliptic
19 C ular result of Green – Tao – Ziegler concerning primes e workshop was aended by 52 participants com- in linear forms; and (b) the lecture by the Aisenstadt ing from Canada, the United States, England, Hungary, prize winner, Omer Angel, concerning limits of graphs China, Spain, Australia, Mexico, France, Japan, and Is- and local vs. global phenomena in graphs. rael. It was an exciting event, where many important Here are some details concerning the program. e de- results that have not yet appeared in print, or for which scription is partial and the interested reader can con- a preprint doesn’t even exist yet, were reported. It gave sult the CRM website for more details. a panorama of the subject, as well as important emerg- ing directions. • e topic of Ramanujan complexes arises naturally as one studied the quotient of buildings by arithmetic Workshop groups (the usual (p + 1)-regular graphs, where p Computer Methods for L-functions and denotes a prime, are quotients of the (p + 1)-regular Automorphic Forms tree, which is the Bruhat – Tits building for PGL2). March 22 – 26, 2010, CRM Several lectures examined this notion and proved the Sponsored by the CRM and the NSF Ramanujan property for the case of GL3 (Chian-Jen Wang) and Sp4 (Yang Fang), and PGLn was discussed Organizers: (Ming-Hsuan Kang). Many of the results obtained Craig Citro (Washington), Bas Edixhoven (Leiden), here were formulated in terms of the zeta function Michael Rubinstein (Waterloo), William Stein (Wash- in the complex plane and are joint work with Win- ington) nie Li. e talk by William Hoffman explored the Speakers: relations of this topic to arithmetic geometry. Amod Agashe (Florida State), Salman Baig (Wash- • Harald Helfgo gave an overview of the work done ington), David Farmer (AIM), William B. Hart (War- in this area since his seminal Annals paper, and Lász- wick), Ghaith Hiary (Waterloo), Michael Rubinstein, ló Pyber reported on a remarkable breakthrough, Nathan C. Ryan (Bucknell), William Stein, Akshay stating, roughly, that in all finite simple groups of Venkatesh (Stanford), John Voight (Vermont), Mark bounded Lie rank, a symmetric set of generators A Watkins (Sydney) grows uniformly: AAA has a large cardinality com- Number of participants: 48 pared to that of A, unless there is some obvious ob- struction. is result was obtained independently by e purpose of this gathering, funded by the CRM and Pyber – Szabó and Breuillard – Green – Tao. By the also by an NSF Focused Research Group grant, was to result of Bourgain – Gamburd one expects to be able give researchers an opportunity to collaborate on re- to make this family into a family of expanders. Pe- search related to L-functions and automorphic forms. Aernoons were reserved for work, while mornings ter Varju talked about expansion in SLd(Z/qZ). Jean Bourgain talked about spectral gaps in SU(d) and were devoted to talks. Ten morning lectures were d held, with talks on various computational aspects of Dubi Kelmer considered PGL2. • Alex Lubotzky talked about connections between ex- L-functions and automorphic forms given by the fol- panders and geometry, with emphasis on hyperbolic lowing researchers: A. Agashe, S. Baig, D. Farmer, manifolds, and Elena Fuchs talked about these con- W. Hart, N. Ryan, M. Rubinstein, J. Voight, W. Stein, nections in the context of Apollonian circle pack- and M. Watkins. Several optional technical talks were ings. given in the aernoons. In addition Akshay Venkatesh • Alex Kontorovich reported new results concern- gave three Aisenstadt Chair lectures, one of which was ing the affine sieve, a topic that appeared in other geared towards a broad audience. talks as well. In addition, we had several inspir- During the workshop several working groups were ing talks going in other directions: codes (Gilles Zé- formed, in order to address the following topics: Clas- mor), almost Ramanujan graphs (Ram Murty), Sum- sical Modular Forms; Siegel Modular Forms; Ranks of products (Alexey Glibichuk, Boris Bukh), charac- Elliptic Curves in Families of Twists; Maass Forms; ter sums (Mei-Chu Chang), distribution of primes Hilbert Modular Forms; Analytic Algorithms; and El- (Adrian Ubis, Anne de Roton) and relation to matrix liptic Curves over Function Fields. For example, the theory (Igor Shparlinski). Maass Forms group continued their work on com- puting L-functions corresponding to Maass forms for
20 T P higher rank groups. ey focused mainly on extend- for the security of the RSA scheme; analysis of elliptic ing their work to congruence subgroups of SL(3, Z). and hyperelliptic curve cryptography, including secu- eir code was working well by the end of the week rity analyses and applications to pairing-based cryp- and they computed roughly 20 L-functions satisfying a tography; a new proposal for fully homomorphic en- functional equation of the same form as that of a Maass cryption; and hash function aacks. L form of non-trivial level. e -functions they com- e 27 presentations covered major areas of cryptogra- puted are not self-dual and hence cannot be expressed phy and security and provided a good balance between L as symmetric square -functions of Maass forms on a survey talks and presentations of recent results. e (2, Z) congruence subgroup of SL . e program, how- talks can be grouped into the following areas. ever, also found the symmetric square L-functions for several Maass forms on Gamma(2). 1. Factorization of large integers (including the impact on the security of RSA-based cryptosystems) e working group on Ranks of Elliptic Curves dis- • A successful new aack on RSA-768 (achieved cussed different strategies for finding high-rank ellip- through a distributed effort carried out by four in- tic curves in the family of quadratic twists of a given el- stitutes) liptic curve. e workshop also gave an opportunity to • Presentation and discussion of RSA-1024 aack several postdocs and graduate students for discussing predictions their ideas with participating researchers. 2. ECC and DLP aacks (including the impact on the security of ECC-based cryptosystems) Workshop • Presentation of improved aacks with auxiliary Computer Security and Cryptography inputs April 12 – 16, 2010, CRM • Examination and improvement of birthday para- Sponsored by the CRM and Microso Research dox constants Organizers: • Presentation of an aack on ECC2K-130 Tanja Lange (TU Eindhoven), Kristin E. Lauter (Mi- (achieved through a distributed effort carried out croso Research), Joseph Silverman (Brown) by twelve institutes) Speakers: 3. Pairing-based cryptography Daniel J. Bernstein (UIC), Alexandra Boldyreva (Geor- • Efficient implementation results (new record an- gia Tech), Melissa E. Chase (Microso Research), San- nounced) jit Chaerjee (Waterloo), Jung Hee Cheon (Seoul Na- • Presentation of a generic group model security tional University), Kirsten Eisentraeger (Penn State), • Presentation of curve generation challenges and Steven Galbraith (Auckland), Koray Karabina (Wa- solutions terloo), orsten Kleinjung (EPFL), Victor S. Miller • Presentation and improvement of Complex Mul- (CCR — Princeton), Payman Mohassel (Calgary), David tiplication methods for generating elliptic and hy- Molnar (Microso Research), Michael Naehrig (Mi- perelliptic curves croso Research), Christopher Peikert (Georgia Tech), • Survey of hyperelliptic curve pairings Christiane Peters (TU Eindhoven), Christophe Pe- 4. Code and laice-based cryptosystems (post- tit (UC Louvain), Christophe Ritzenthaler (Méditerra- quantum cryptography) née), Renate Scheidler (Calgary), Éric Schost (West- • Proposal of new systems (LWE: Learning with Er- ern Ontario), Peter Schwabe (TU Eindhoven), Hovav rors public key cryptosystems) Shacham (UCSD), Igor Shparlinski (Macquarie), Alice • Survey of code-based cryptography (McEliece pa- Silverberg (UC Irvine), Andrew V. Sutherland (MIT), rameters) Vinod Vaikuntanathan (IBM Research), Bianca Viray • Explanation of known aacks and examination of (UC Berkeley) their relevance (HNP, i.e., Hidden Number Prob- Number of participants: 78 lem) 5. Fully homomorphic encryption: Proposal of an ap- e Workshop on Computer Security and Cryptog- proximate GCD-based system (Eurocrypt 2010 pa- raphy featured a plethora of distinguished lecturers per) speaking on a variety of current research topics: in- 6. Presentation of hash function aacks teger factorization algorithms and their implications • SAT solvers (as compared with MD2 and MD5)
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• Preimage and collision aacks on Cayley-graph- Luis Finoi (Tennessee), Pierrick Gaudry (LORIA & based hash functions CNRS), David Harvey (NYU), Kristin E. Lauter (Mi- 7. Discussion and coordination of computational re- croso Research), Reynald Lercier (DGA & Rennes 1), sources (Cloud Computing, distributed computing Christiane Peters (TU Eindhoven), Christophe Ritzen- efforts,…) thaler (Méditerranée), David Roe (Harvard), Adriana 8. Presentation of recent new cryptographic applica- Salerno (Bates College), Igor Shparlinski (Macquarie), tions Benjamin Smith (INRIA Saclay), Andrew V. Sutherland • Encrypted database search (MIT), John Voight (Vermont), Daqing Wan (UC Irvine) • Anonymous credentials Number of participants: 39
We received extremely positive feedback from the par- e activities of this workshop were disrupted by the ticipants, both about the quality of the presentations eruption of the Eyjaallajökull volcano, which closed and about the opportunities to interact and to discuss the European airspace for several days. As a result, outside the talks. Several participants pointed out that the organizers recruited some graduate students and they made new contacts and that they have started new postdoctoral fellows who were aending the activities collaborations. and who graciously agreed to give last minute talks. Among these we would like to mention Nick Alexan- Workshop der, Christiane Peters, Adriana Salerno, and Benjamin Counting Points: Theory, Algorithms and Smith. e result was a very nice mix of talks by se- Practice nior and junior participants. ere were also some pro- April 19 – 23, 2010, CRM ductive discussions about large-scale computing aer the lecture of Dan Bernstein, and some useful back- Organizers: and-forth discussions between people using different Kiran S. Kedlaya (MIT), Jean-François Mestre (Paris Di- flavours of p-adic cohomology for computations (e.g., derot) David Harvey and John Voight). Speakers: Nick Alexander (UC Irvine), Daniel J. Bernstein (UIC),
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.
2008 – 2009 Joint CRM – PIMS Program: Challenges 2001 – 2002 Groups and Geometry and Perspectives in Probability 2000 – 2001 Mathematical Methods in Biology and 2008 – 2009 Probabilistic Methods in Mathematical Medicine Physics 1999 – 2000 Mathematical Physics January – June 2008 Dynamical Systems and Evolu- 1998 – 1999 Number eory and Arithmetic Geome- tion Equations try June – December 2007 Applied Dynamical Systems 1997 – 1998 Statistics January – June 2007 Recent Advances in Combina- 1996 – 1997 Combinatorics and Group eory torics 1995 – 1996 Applied and Numerical Analysis June – December 2006 Combinatorial Optimization 1994 – 1995 Geometry and Topology 2005 – 2006 Analysis in Number eory 1993 – 1994 Dynamical Systems and Applications 2004 – 2005 e Mathematics of Stochastic and Mul- 1992 Probability and Stochastic Control tiscale Modelling (Special Semester) 2003 – 2004 Geometric and Spectral Analysis 1991 – 1992 Automorphic Forms in Number eory 2002 – 2003 Mathematics in Computer Science 1991 Operator Algebras (Special Semester)
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1990 Nonlinear PDEs and Applications 1987 – 1988 Fractals: eory and Application (Concentration Period) 1987 Structural Rigidity (Special Semester) 1988 Shimura Varieties (Special Semester) 1987 antum Field eory (Special Semester)
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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 aended by a small number of researchers or large meetings aended 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 submied.
CRM Activities Affine Algebraic Geometry: A Conference in Workshop Honour of Peter Russell Models, Logics and Higher-Dimensional June 1–5, 2009, McGill University Categories: A Tribute to the Work of Mihaly Sponsored by the CRM, McGill University, the Univer- Makkai sity of Oawa, the University of Warsaw, and York June 19 – 20, 2009, CRM University Organizers: Organizers: Bradd Hart (McMaster), omas G. Kucera (Manitoba), Daniel Daigle (Oawa), Richard Ganong (York), Jac- Philip Sco (Oawa), Robert A.G. Seely (McGill) ques Hurtubise (McGill), Mariusz Koras (Warsaw), Speakers: Steven Lu (UQÀM) Mike Barr (McGill), Victor Harnik (Haifa), An- Speakers: dré Joyal (UQÀM), Henry Kierstead (Arizona State), Jason Bell (Simon Fraser), Pierree Cassou-Noguès Julia F. Knight (Notre Dame), François Lamarche (Bordeaux 1), Daniel Daigle, Hubert Flenner (Ruhr (INRIA Nancy), Joachim Lambek (McGill), Mihaly Bochum), Gene Freudenburg (Western Michigan), Ra- Makkai (McGill), Robert Paré (Dalhousie), Anand Pil- jendra Gurjar (Tata Inst.), Zbigniew Jelonek (Jagel- lay (Leeds), Gonzalo E. Reyes (Montréal), Charles lonian), Mariusz Koras, Herbert Kurke (Humboldt), Steinhorn (Vassar), Marek Zawadowski (Warsaw) Shigeru Kuroda (Tokyo Metropolitan), Steven Lu, Kayo Number of participants: 48 Masuda (Kwansei Gakuin), Vikram Mehta (Tata Inst.), Masayoshi Miyanishi (Kwansei Gakuin), Lucy Moser- is workshop followed the “Makkai workshop” that Jauslin (Bourgogne), Pavaman Murthy (Chicago), was held at McGill University on June 18 and featured 8 Stepan Orevkov (Paul Sabatier), Karol Palka (Warsaw), talks. Mihaly Makkai is a distinguished professor from Vladimir Popov (Steklov Inst., Moscow), Paul Roberts McGill University who has made important contribu- (Utah), Marko Roczen (Humboldt), Avinash Sathaye tions to logic and category theory. ere were 13 talks (Kentucky), Yoshifumi Takeda (Wakayama Medical), given at the CRM workshop on June 19 and 20, as well Stéphane Vénéreau (Basel), David Wright (WUSTL) as a special historical talk at the end of the first day, Number of participants: 39 covering many aspects of Makkai’s career and influ- ence. e high quality of the presentations, and of the is five-day conference celebrated the contributions resulting discussions, was a fiing tribute to the contri- of Peter Russell to the area of affine algebraic geome- butions of Professor Makkai, especially as they covered try, as well as to problems in characteristic p geometry. a diversity of fields of mathematics and yet displayed a It assembled participants working in such topics as al- thematic unity. Makkai himself underlined this point gebraic group actions on affine spaces, the cancellation in his comments on Friday evening; so did Jean-Pierre problem, embeddings of affine spaces, and the theory Marquis in his workshop lecture on the philosophy of of open surfaces. e conference saw a plethora of new Makkai’s mathematics. results, accompanying the natural reminiscences of a remarkable career. Professor Makkai’s work features a remarkably suc- cessful marriage of ideas and techniques between cat- egory theory on one hand and model theory and logic on the other. is marriage was already evident in the 1977 monograph entitled “First Order Categorical Logic” by M. Makkai and G. Reyes, which successfully
25 C combined traditional model theory with Grothendieck jointe du CRM) et Roland Malhamé (directeur du GE- toposes. In the following years Professor Makkai built RAD), la partie scientifique de l’atelier commença par up an impressive body of work in several related fields: un exposé du professeur Hans Schneider. Le professeur categorical model theory, first order logic with depen- Schneider annonça également que la revue Linear Al- dent sorts, and higher-dimensional category theory. In gebra and Its Applications publierait un numéro spécial his work he has proposed a coherent and far reaching consacré aux contributions des participants et d’autres view of categorical logic in the foundations of mathe- collègues. matics. Les sujets abordés au cours de la première journée ont e workshop was timely not only because of Pro- témoigné de la très grande diversité des applications fessor Makkai’s 70th birthday, but also because of des mathématiques tropicales, allant de la théorie des the widening realization that traditional model theory jeux (M. Akian) à l’algèbre des matrices (Z. Izhakian), might usefully embrace the categorical methods pio- en passant par les fonctions convexes et la complexité neered by Professor Makkai. Traditional model the- dans les espaces tropicaux (W. McEneaney). Cee dé- ory is set-based. In contrast, contexts and techniques monstration s’est poursuivie le mardi 30 juin, avec from category theory are used more and more in recent des exposés portant sur l’analyse de la circulation model-theoretic work in such areas as algebraic geom- et de la congestion dans une ville (J.-P. adrat), la etry, differential algebra, Mordell – Lang theory, etc. commande optimale des systèmes à évènements dis- e workshop focused on the main themes of Professor crets (J.-L. Boimond), les équations implicites aux dif- Makkai’s career: traditional model theory, categorical férences en automatique (J.-J. Loiseau), la théorie de la model theory and logics, and higher-dimensional cat- mesure (P. Poncet) et le calcul du second cycle maxi- egory theory. mal dans le graphe de précédence d’une matrice à co- efficients dans l’algèbre tropicale (Monika Molnárová 1st Montreal Workshop on Idempotent and et Martin Gavalec). Tropical Mathematics La troisième journée, coïncidant avec la fête natio- June 29–July 3, 2009, GERAD nale du Canada, consista d’un brillant exposé sur le ré- Sponsored by the CRM and GERAD gime permanent des puissances de matrices tropicales (S. Sergeev) et d’un autre sur les valeurs propres des Organizer: Édouard Wagneur (GERAD & Polytech- polynômes matriciels (S. Meisam). La dernière journée nique Montréal) permit d’apprécier quelques résultats surprenants dans Local Commiee: la « tropicalisation » de la géométrie convexe discrète Ivo G. Rosenberg (Montréal), Édouard Wagneur (S. Gaubert) et d’approfondir les sujets suivants : struc- Speakers: tures des hyperplans tropicaux (V. Nitica), applications Marianne Akian (INRIA & École Polytechnique), Jean- du plan tropical dans lui-même (de la Puente) et valeurs Louis Boimond (Angers), Maria Jesús de la Puente propres d’applications d’intervalles (M. Gavalec). Enfin (Complutense), Stéphane Gaubert (INRIA & École Po- É. Wagneur introduisit un type de complexité inédit, la lytechnique), Martin Gavalec (Hradec Králové), Zur complexité formelle de la solution de certaines inéga- Izhakian (Bar-Ilan), Jean-Jacques Loiseau (Nantes & lités max-linéaires. CNRS), William McEneaney (UCSD), Sharify Meisam Tout au long de l’atelier, les participants (y compris (INRIA & École Polytechnique), Monika Molnárová plusieurs étudiants) se réunirent par petits groupes, (TU Košice), Viorel Nitica (West Chester), Paul Poncet afin d’étudier un concept ou un nouveau problème. Ces (INRIA & École Polytechnique), Jean-Pierre adrat échanges étaient un des buts de l’atelier, qui connut (INRIA Rocquencourt), Sergei Sergeev (Birmingham), donc un franc succès. Hans Schneider (Wisconsin – Madison), Ivan Singer (Inst. Simion Stoilow), Édouard Wagneur Number of participants: 25 15th IAPR International Conference on Discrete Geometry for Computer Imagery L’atelier a duré 4 jours au lieu de 5, parce qu’un col- lègue russe très aendu n’a pu obtenir son visa à September 30 – October 2, 2009, UQÀM temps. Après des allocations d’ouverture prononcées Sponsored by the CRM, the Government of ébec par Édouard Wagneur, Chantal David (directrice ad- (ministry of Education), and the Canada Research
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Chair in algebra, combinatorics, and mathematical Holographic Cosmology Workshop computer science October 2 - 4, 2009, McGill University Steering Commiee: Sponsored by the Mathematical Physics Laboratory Eric Andres (Poitiers), Gunilla Borgefors (Uppsala), Organizer: Robert Brandenberger (McGill) Achille Braquelaire (Bordeaux 1), Jean-Marc Chassery Participants: (Grenoble INP), David Coeurjolly (Lyon 1 & CNRS), Stephon Alexander (Haverford), Chong-Sun Chu Ullrich Köthe (Hamburg), Annick Montanvert (Greno- (Durham), Daniel Kabat (Lehman Coll., CUNY), Al- ble INP), Kálmán Palágyi (Szeged), Gabriella Sanniti di bion Lawrence (Brandeis), David Lowe (Brown), Fotini Baja (Ist. E. Caianiello) Markopoulou (Perimeter Inst.), Samir Mathur (Ohio Program Commiee: State), Savdeep Sethi (Chicago), Harold Steinacker Reneta Barneva (SUNY Fredonia), Michel Couprie (Wien) (ESIEE), Alain Daurat (Strasbourg), Isabelle Debled- Rennesson (LORIA), Christophe Fiorio (Montpellier 2 e goal of this workshop was to gather a small num- & CNRS), Pieter Jonker (TU Del), Christer Kisel- ber of experts to discuss recent approaches to non- man (Uppsala), Walter Kropatsch (TU Wien), Jacques- perturbative quantum gravity and their possible appli- Olivier Lachaud (Savoie), Rémy Malgouyres (Au- cations to cosmology. Specifically, approaches based vergne), Renzo Pinzani (Firenze), Pierre Soille (IPSC), on the AdS/CFT correspondence, matrix models, and Édouard iel (Méditerranée), Peter Veelaert (Gent) non-commutative and emergent gravity models were Co-chairs of the Organizing Commiee: discussed during the workshop. Srečko Brlek, Christophe Reutenauer (UQÀM) Invited Speakers: First Bavaria – ébec Mathematical Valérie Berthé (Montpellier 2 & CNRS), Anders Kock Meeting (Emeritus Professor, Aahrus), Pierre Gauthier (UQÀM) November 30 – December 3, 2009, CRM Number of participants: 85 Sponsored by the Government of ébec (department of international relations) and the Analysis Laboratory La série de congrès sur la géométrie discrète pour l’imagerie est parrainée par le regroupement Interna- Organizers: tional Association for Paern Recognition. Le but de ces Richard Fournier (Dawson), Stephan Ruscheweyh congrès est de rassembler des chercheurs travaillant en (Würzburg) géométrie discrète et topologie et en modèles discrets Speakers: et appliquant leurs travaux à l’analyse et la synthèse Line Baribeau (Laval), Marco Bertola (Concordia), d’images. La géométrie discrète joue un rôle croissant Hans-Peter Bla (KU Eichstä-Ingolstadt), Nicolas dans les domaines de la modélisation des formes, de la Chevrot (Laval), Galia Dafni (Concordia), Serge Dubuc synthèse d’images et de l’analyse d’images. Elle étu- (Montréal), Dimiter Dryanov (Concordia), Daniel Fio- die les définitions topologiques et géométriques des rilli (Montréal), Paul M. Gauthier (Montréal), Andrew objets ou images discrétisés et fournit un cadre théo- Granville (Montréal), Youness Lamzouri (IAS), Javad rique et algorithmique pour l’imagerie par ordinateur. Mashreghi (Laval), Qazi Ibadur Rahman (Montréal), Le congrès tenu à l’UQÀM comporta trois conférences Oliver Roth (Würzburg), Gerhard Schmeisser (Erlan- données par les conférenciers invités, deux sessions gen-Nürnberg), Jörn Steuding (Würzburg) de courtes présentations et des présentations de 25 Number of participants: 31 minutes regroupées dans des sessions portant sur les thèmes suivants : Ce colloque est un des fruits de la collaboration entre • représentation, reconnaissance et analyse des ses deux organisateurs, commencée en 1985 alors formes discrètes, que Richard Fournier effectuait un stage postdocto- • outils discrets et combinatoires pour la segmentation ral en Bavière sous la supervision de Stephan Rusche- et l’analyse d’images, weyh. Dans le cadre de son programme d’échanges • topologie discrète et combinatoire, avec la Bavière, le ministère des Relations interna- • modèles pour la géométrie discrète, tionales a accepté d’accorder un montant de 6 000 $ • transformations géométriques et pour l’organisation de cee première rencontre ma- • tomographie discrète. thématique Bavière-ébec. Presque tous les mathé-
27 C maticiens québécois travaillant en théorie des fonc- wick), Tim Hsu (San José State), Jeremy Kahn (Stony tions participèrent au colloque. Après l’allocution Brook), Alan Reid (UT Austin), Claire Renard (Paul Sa- d’ouverture de Peter Russell, directeur du CRM (pro- batier), Daniel Wise (McGill), Xingru Zhang (Buffalo) noncée en trois langues), les conférences portèrent sur les sujets suivants (entre autres) : la fonction zêta Over the past decade several major breakthroughs de Riemann, la distribution des nombres premiers, les have been made concerning the classification of 3- grandes valeurs prises par les fonctions L, le pro- dimensional manifolds. ese include Perelman’s so- blème de Nevanlinna-Pick, les théorèmes de Landau et lution of the geometrization conjecture and the solu- Schoky, l’entropie de Kolmogorov, une décomposi- tions by Agol and Calegari – Gabai of the tameness 1 conjecture for Kleinian groups. Such results have pro- tion atomique de l’espace de Hajlasz-Sobolev M1 sur les variétés, et les approximants rationnels. Les orga- vided a platform for a renewed aack on other funda- nisateurs ont trouvé tous les exposés intéressants mais mental problems and in particular on one of the ma- veulent souligner les exposés remarquables de Bertola, jor lines of contemporary research, i.e., properties of Bla, Granville, Roth et Schmeisser. 3-dimensional manifolds that hold up to taking a fi- nite degree cover (virtual properties). For instance, Workshop urston has conjectured that a hyperbolic 3-manifold Topics in Riemannian and Poisson admits a finite cover that is a fibration over the circle. Geometry In general, there is a natural sequence of conjectures April 8 – 9, 2010, UQÀM concerning such properties. New methods from Hee- Sponsored by CIRGET gaard Floer theory, contact topology, geometric group theory, and algebraic number theory, combined with Organizers: more traditional methods such as 3-dimensional hy- Marco Gualtieri (Toronto), Jacques Hurtubise (McGill), perbolic geometry, are likely to be influential in the Ruxandra Moraru (Waterloo) study of these properties. e goal of the workshop Speakers: was to showcase these interactions in order to foster Alberto Caaneo (Zürich), Andrew Dancer (Oxford), future developments. On April 19 – 21, Daniel Wise Nigel J. Hitchin (Oxford), Paul Gauduchon (École Po- gave a series of talks on his work on separability for lytechnique) hyperbolic groups with quasiconvex hierarchies. e workshop itself took place on April 22 and 23 and fo- ere has been a great deal of interest recently in var- cused primarily on topics related to the virtual pos- ious forms of generalized geometry, such as general- itive first Bei number conjecture and virtual fiber- ized complex and Kähler geometry. e relation be- ing conjectures for 3-manifolds. Approximately 30 tween such geometries and other special structures, researchers aended the workshop, including many for example ASD conformal metrics, bihermitian ge- graduate students and postdoctoral fellows. ometry, and Poisson structures, has been at the core of intensive recent research in this rapidly developing The Bellairs Workshop in Number Theory field. is two-day workshop was a satellite workshop Moduli Spaces and the Arithmetic of of the BIRS 5-day program entitled “Workshop on gen- Dynamical Systems eralized complex and holomorphic Poisson geometry” May 2 – 9, 2010, Bellairs Research Institute (April 11 – 16, 2010). Approximately 25 researchers at- Sponsored by CICMA tended the workshop held at UQÀM. Organizers: Workshop Xander Faber (McGill), Patrick Ingram (Waterloo) Virtual Properties of 3-Manifolds Principal Speaker: Joseph H. Silverman (Brown) April 19 – 23, 2010, UQÀM Other speakers: Sponsored by CIRGET Laura DeMarco (UIC), Adam Epstein (Warwick), Michelle Manes (Hawaii), Michael Tepper (Penn State Organizers: Abington) Ian Agol (UC Berkeley), Steven Boyer (UQÀM) Number of participants: 25 Speakers: Ian Agol, Nathan Dunfield (UIUC), Stefan Friedl (War-
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e goal of the workshop was to provide a common In 1937 Wagner proved that a graph G is planar if and background on the uses of moduli spaces in dynami- only if it contains neither K5 nor K3,3 as a minor. He cal systems, especially their relationship to arithmetic. then considered a more abstract problem: does there e topics that were discussed include the follow- exist, for each surface Σ, a similar characterization (a ing: moduli spaces of dynamical systems on projec- finite list of excluded minors) for graphs embeddable in tive space, varieties parameterizing dynamical systems Σ? Wagner noticed that to ensure the existence of such along with extra structure (e.g., periodic points of fixed characterizations, it suffices to prove that in every in- period), dynamical systems over function fields. A finite sequence of graphs there is one that is a minor of number of current developments in the subject were another. is laer statement became known as Wag- discussed, with the aim of stimulating new activity ner’s Conjecture. Wagner’s Conjecture was proved by and collaboration. e main speaker, Joseph Silver- Robertson and Seymour as part of their grand project man, gave a two-hour lecture each day from Monday on graph minors. to Friday, while the evening lectures were given by Results from this entire project were covered in the lec- Laura DeMarco, Adam Epstein, Michelle Manes, grad- ture course “Structural results obtained from excluding uate students, and Michael Tepper. graph minors”, taught by Bruce Reed, who, inciden- tally, is in the final stages of completing a book on the First Montreal Spring School in Graph graph minors project. e key structural theorem of Theory the course states (approximately) that all graphs with- May 2 – 29, 2010, McGill University out a fixed graph H as a minor can be obtained by gluing together (in an appropriate way) certain “topo- Organizer: Bruce Reed (McGill) logically simple” graphs. At the end of the course we Speakers: turned to Wagner’s Conjecture. It is by no means triv- Maria Chudnovsky (Columbia), Bruce Reed, Paul Sey- ial to deduce Wagner’s Conjecture from the structure mour (Princeton) theorem, but the structure theorem does allow us to get Number of participants: 69 a grip on the problem that is essential to its resolution. Much of mathematics is driven by conjectures, and this One colours a graph by assigning a colour to each ver- is particularly true of Graph eory. Two of the great tex in such a way that no two adjacent vertices receive conjectures that drove, stretched, and teased, a gener- the same colour. If there is a set of ω vertices (a clique) ation of graph theorists are Wagner’s Conjecture and that are all mutually adjacent, then it is clear that at e Strong Perfect Graph Conjecture (due to Berge). In least ω colours will be needed to colour the graph. the past decade both have been proved: the former by It is somewhat interesting to know that for a certain Robertson and Seymour and the laer by Chudnovsky, graph, this number of colours suffices, i.e., the number Robertson, Seymour, and omas. Each of the proofs of colours needed equals the size of the largest clique. (and this is especially true of the former) represents It is much more interesting to know that for a certain the culmination of a grand project of research that has graph G, this property holds not only for G but also built up a whole structural theory surrounding the re- for all induced subgraphs of G (i.e., graphs that can be quired result. obtained from G by deleting vertices). If this is the case For a new generation of graph theorists these results then we say that G is perfect. may be taken as given. at does not mean, however, It is easy to find graphs that are not perfect. For exam- that they should be ignored. e wealth of knowledge ple, odd cycles of length at least five are imperfect, and and techniques built up in proving these results is a so are their complementary graphs (i.e., those obtained bounty that the new generation is lucky to inherit. e by switching edges and non-edges). us for a graph to First Montreal Spring School in Graph eory was an be perfect it is necessary that it contain neither an odd opportunity for young researchers from Canada and cycle of length at least five, nor the complement of such around the world to learn of this bounty from three a cycle, as an induced subgraph. e Strong Perfect top academics in the field. In all we had over 60 par- Graph Conjecture, due to Berge (1960), states that this ticipants at the school, coming from 15 countries. necessary condition is also sufficient. e other course in the school, “Structural results obtained by exclud- ing induced subgraphs”, which included a proof of the
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Strong Perfect Graph Conjecture, was taught jointly Workshop on Evolutionary Genomics by Paul Seymour and Maria Chudnovsky. Acfas 2010 In Paul Seymour’s lectures we were introduced to a May 10, 2010, Université de Montréal structure theorem for graphs (now known as Berge Organizer: Nadia El-Mabrouk (Montréal) graphs) that have neither odd cycles of length at least Speakers: five nor their complements as induced subgraphs. e Denis Bertrand (Montréal), Mathieu Blanchee structure theorem shows that such graphs either be- (McGill), Cedric Chauve (Simon Fraser), Miklós Csűrös long to one of a few families of basic graphs, or admit (Montréal), Andréa Doroei (Montréal), Sylvie Hamel one of a few types of decompositions. Since the fami- (Montréal), Paul Horton (AIST), David Sankoff (Ot- lies of basic graphs are known to be perfect, and graphs tawa) admiing such decompositions are known to be per- fect, the proof of the Strong Perfect Graph Conjec- Ce colloque fut organisé dans le cadre du congrès de ture follows. Maria Chudnovsky’s lectures (one quar- l’Acfas en 2010, qui eut lieu à l’Université de Montréal. ter of the course) focused on more recent results and Entre 15 et 20 personnes y participèrent. Voici les titres open conjectures, including recent advances related to des présentations. the Erdős – Hajnal Conjecture (a conjecture that is still open). • Evolution of the mitochondrial proteome (P. Horton) • Génomes ancestraux de levures (C. Chauve) e participants showed their gratitude at the end of • Compléter les gènes manquants des échafaudages à the school by buying a few small gis for the lectur- l’aide de l’évidence comparative (D. Sanko) ers. In particular, Paul received a set of five cigars, • Le rôle de la régulation « longue-distance » dans la pré- each with the name of a conjecture wrien on it. Each servation de la synténie (M. Blanchee) time he (on his own or with collaborators) proves one • Médianes de m permutations (S. Hamel) of these conjectures, he is allowed to smoke the corre- • Génomes pré-dupliqués ancestraux (D. Bertrand) sponding cigar. e participants are probably hoping • Correction des arbres de gènes (A. Doroei) that there will be another school (in 10 years from now) • Évolution de l’organisation exon-intron chez les euca- based on the proofs of these conjectures! ryotes (M. Csűrös)
CRM–ISM 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 laer 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 2009 – 2010 the colloquium coordinators were Steven Lu (UQÀM) and John Toth (McGill).
September 25, 2009 October 30, 2009 Svetlana Katok (Penn State) Glenn Stevens (Boston) Structure of Aractors for (a, b)-Continued Fraction p-adic Variation in the eory of Automorphic Forms Transformations November 6, 2009 October 9, 2009 Christopher Sogge (Johns Hopkins) Ravi Ramakrishna (Cornell) Kakeya – Nikodym Averages and Lp Norms of Eigen- What is a Galois Representation? functions
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November 20, 2009 February 12, 2010 James Lewis (Alberta) Frank Soile (Texas A&M) New Invariants on Algebraic Cycles Orbitopes November 27, 2009 February 19, 2010 Shing-Tung Yau (Harvard) Jeremy astel (Toronto) Canonical Metrics on Kähler Manifolds Large Scale Behaviour of the Continuum Random Poly- December 4, 2009 mer and KPZ Erez Boas (Bordeaux 1) February 26, 2010 Galois Modules in Arithmetic and Geometry John Coates (Cambridge) December 18, 2009 Iwasawa eory François Lalonde (Montréal) March 5, 2010 La nouvelle géométrie algébrique réelle Balint Virag (Toronto) January 8, 2010 Random Schrödinger Operators and Random Matrices Henri Darmon (McGill) March 12, 2010 Diophantine Equations: What Numbers Reveal About Winnie Li (Penn State) Shape and Structure Recent Progress on the Arithmetic of Non-congruence January 15, 2010 Modular Forms Jim Bryan (UBC) March 19, 2010 e Orbifold Vertex: Counting Curves on Orbifolds by Michael Larsen (Indiana) Counting Piles of Colored Boxes Word Maps over Simple Groups January 29, 2010 April 9, 2010 Kumar Murty (Toronto) Nigel Hitchin (Oxford) e Euler – Kronecker Constant of a Number Field Magnetic Monopoles and Projective Geometry February 5, 2010 April 16, 2010 Robert McCann (Toronto) Panagiota Daskalopoulos (Columbia) Optimal Multidimensional Pricing Facing Informational Surface Evolution under Curvature Flows — Existence Asymmetry and Optimal Regularity
CRM – ISM – GERAD Statistics Colloquium
In 2009 – 2010 the organizing team of the Statistics Colloquium included Geneviève Lefebvre (UQÀM), Mylène Bédard (Montréal), Lea Popovic (Concordia), and Russell Steele (McGill).
October 2, 2009 October 30, 2009 Zhiqiang Tan (Rutgers) Jean-François Plante (HEC Montréal) Marginal and Nested Structural Models Using Instru- Méthodes pondérées pour les statistiques de rangs multi- mental Variables variés October 9, 2009 November 6, 2009 Samuel Kou (Harvard) Don Fraser (Toronto) Equi-energy Sampler: From Statistical Inference to Sta- Statistical Tools: Is ere Any Merit in Calibration? tistical Mechanics November 13, 2009 October 23, 2009 Jeffrey Rosenthal (Toronto) Pranab K. Sen (UNC-Chapel Hill) Comment optimiser l’algorithme Metropolis ? e eil – Sen Estimator of the Slope in a Measurement November 27, 2009 Error Perspective Benoit Liquet (Bordeaux Segalen) Choice of Estimators Based on Different Observations: Modified AIC and LCV Criteria
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December 4, 2009 February 26, 2010 Bovas Abraham (Waterloo) Michael R. Kosorok (UNC-Chapel Hill) Real Experiments, Real Mistakes, Real Learning Reinforcement Learning Strategies for Clinical Trials in January 22, 2010 Non-Small Cell Lung Cancer Galin Jones (Minnesota) March 5, 2010 Output Analysis for Markov Chain Monte Carlo Simon Guilloe (Prince Edward Island) January 29, 2010 Un modèle de tamis bayésien pour l’inférence sur les lois Pierre Lafaye de Micheaux (Montréal) de valeurs extrêmes bivariées Goodness-of-fit Tests in ARMA and VARMA Models, March 12, 2010 with a Comparison Against the Jarque – Bera Test Dylan Small (Pennsylvania) February 12, 2010 Error Free Milestones in Error Prone Measurements Johanna Nešlehová (McGill) March 19, 2010 From Archimedean to Liouville copulas Robert Strawderman (Cornell) February 19, 2010 Conditional GEE for Recurrent Event Data Abbas Khalili (McGill) April 9, 2010 Estimation and Feature Selection in Mixture-of-Experts Changbao Wu (Waterloo) Models, and Mixture Regression Models with Diverging Analysis of Longitudinal Surveys with Missing Re- Number of Parameters sponses
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e 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). e reports are presented in the language in which they were submied.
Activities of the Multidisciplinary and Industrial Program
Third Montréal Industrial Problem Solving ticipants worked on six problems proposed by the fol- Workshop lowing organizations: Pra & Whitney, Natural Re- A CRM – MITACS Event sources Canada, Rolls-Royce Canada, IREQ, GIRO, and August 17 – 21, 2009, CRM FPInnovations (FERIC division). e organizers are Financed by MITACS and ncm2 (Network for Comput- very grateful to the persons who helped them gather ing and Mathematical Modeling) with a contribution the problems, in particular Anne Bourlioux and Chris- by Pra & Whitney tiane Rousseau (from the Université de Montréal) and Catherine Mavriplis (from the University of Oawa). Organizing commiee: Note that four of the problems were supplied by insti- Jean-Marc Rousseau (CIRANO & ncm2, chair), Fabian tutions (Natural Resources Canada, IREQ, GIRO, FPIn- Bastin (Montréal), Eric Bosco (Director, Business De- novations) that were represented at the Second Mon- velopment, MITACS), Michel Gendreau (Polytech- tréal Industrial Problem Solving Workshop. nique Montréal), Bernard Gendron (Director, CIR- RELT), Roland Malhamé (Director, GERAD), Odile e first problem, supplied by Pra & Whitney, con- Marcoe (Deputy Director, CRM), Catherine Mavriplis cerned the optimization of the realized value during (Oawa), Christiane Rousseau (Director, CRM) the post-certification phase of product development. Participating researchers: is problem was tackled successfully by the partici- Pierre Baptiste (Polytechnique Montréal), Fabian Bas- pants, who modelled it as a linear problem and solved tin, Kamel Bentahar (Oxford), Anne Bourlioux (Mont- it before the end of the workshop. e second problem, réal), Michel Gendreau, Alain Hertz (Polytechnique supplied by the CanmetENERGY centre of Natural Re- Montréal), Angelo Lucia (Rhode Island), Apala Majum- sources Canada, consisted of computing the minimal dar (Oxford), Odile Marcoe, Catherine Mavriplis (Ot- energy needed to operate a distillation column in or- tawa), Laurent Michel (Connecticut), Robert Pellerin der to carry out a specific separation task. e team (Polytechnique Montréal), Stephen Peppin (Oxford), studying this problem made a lot of progress towards Mohammed A. Qazi (Tuskegee), Tim Reis (Oxford), the proof of an important theorem! e third problem, Louis-Martin Rousseau (Polytechnique Montréal) provided by Rolls-Royce Canada, involved the study Industrial representatives: of methods for locating large and small vortical struc- Étienne Ayoe-Sauvé (CanmetENERGY), Yvan Beau- tures within a reacting flow. is is a difficult problem, regard (Pra & Whitney), Pierre Gauthier (Rolls-Royce whose solution is necessary to assess the behaviour of Canada), Joseph Nader (FPInnovations), Jean-Claude reacting flows in gas turbine engines. Rizzi (IREQ), Patrick St-Louis (GIRO Inc.), Guy Vanier e fourth problem, supplied by IREQ, the Hydro- (IREQ) ébec research institute, dealt with the optimization Number of participants: 16 researchers, 7 indus- of dynamic transfer limits in an energy transportation trial representatives, and 25 students and postdoctoral network. e power transfer capacity of such a net- fellows work is subject to many limits, which depend (among other factors) upon certain company decisions. e As part of its multidisciplinary and industrial pro- problem is then to optimize the limits for a set of sub- gram, the CRM organizes workshops where aca- network configurations, and the team working on this demic researchers, industry representatives, students, problem was able to model the problem and start solv- and postdoctoral fellows model and solve prob- ing it. e fih problem, supplied by GIRO, dealt with lems brought forward by industrial partners. e the real-time placement of labels on a geographical ird Montréal Industrial Problem Solving Workshop map. e team members made several suggestions that (IPSW) was held on August 17 – 21, 2009, and its par- the industrial representative found original and useful.
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Finally, the sixth problem, provided by FPInnovations, of hoof and track surface in race horses. e topic of concerned the scheduling of trucks in the forestry in- the second day was the analysis of data collected us- dustry. ing the MRI imaging technique that measures water Although the majority of participants were from Mon- diffusion in the brain. Aer a nice introduction to MRI tréal, many participants came from other cities or imaging by Christian Beaulieu, speakers presented sta- countries to aend the workshop: 2 from Oawa, 4 tistical models for MRI data dealing with large dimen- from Toronto, 4 from the University of Oxford, and 3 sions (more than one million data points in a typical from the United States. An intern from the Nether- brain) and the 3D spatial structure of this type of data. lands also took part in the workshop. e atmosphere e matrix Wishart distribution was proposed as a po- of the workshop was very friendly and the industrial tentially useful tool for this type of data. More exam- representatives were enthusiastic about the work car- ples of non standard data analysis, with manifold sam- ried out during the workshop; some of them wondered ple spaces, were given on the third day. In the last pre- why no workshop was being planned for 2010! e sentation, Jim Ramsay highlighted the need to develop organizers explained to them that an industrial prob- object-oriented statistical methods that use the math- lem solving workshop requires a lot of effort by sev- ematical structure of the manifold on which the data eral groups of people, and that the Montréal commu- is defined to construct statistical models for such data. nity intends to hold a workshop every two years (start- He emphasized the strong links of this topic with the ing in 2009). e community also has to take into forthcoming SAMSI thematic year on object-oriented account the dates of the other Canadian IPSWs. e inference and invited the participants to take part in reader may find more details on the workshop web site this activity. (crm.math.ca/probindustriels2009/index_e.shtml). NICDS Workshop NICDS Workshop Statistical Methods for Geographic and The Analysis of Directional Data with Spatial Data in the Management of Natural Applications to Biomechanics and Resources Biomedical Imaging March 3 – 5, 2010, CRM November 25 – 27, 2009, CRM Sponsored by the National Institute for Complex Data Sponsored by the National Institute for Complex Data Structures (NICDS) Structures (NICDS) Organizers: Organizers: DongMei Chen (een’s), ierry Duchesne & Anne- Peter T. Kim (Guelph), Louis-Paul Rivest (Laval) Catherine Favre (Laval), Subhash R. Lele (Alberta) Speakers: Keynote speakers: Christian Beaulieu (Alberta), Aurelio Cappozzo (Fo- Brian Klinkenberg (UBC), Philippe Naveau (IPSL), ro Italico), Moo K. Chung (Wisconsin – Madison), Jim James V. Zidek (UBC) Dickey (Western Ontario), Giseon Heo (Alberta), Peter Invited speakers: E. Jupp (St Andrews), Peter T. Kim, Hélène Massam Olaf Berke (Guelph), Nicolas Bousquet (EDF R&D), (York), Michael Pierrynowski (McMaster), James O. Rob Deardon (Guelph), Vincent Fortin (Environment Ramsay (McGill), Louis-Paul Rivest, Jeffrey J. oma- Canada), Rémy Garçon (EDF-DTG), Jonah L. Keim son (Guelph), Hongtu Zhu (UNC-Chapel Hill) (Matrix Solutions Inc.), Subhash Lele, Song Liang (Ohio Number of participants: 36 State), James Merleau (IREQ), Evelyn Merrill (Alberta), Mériem Saïd (Laval), Dominique Tapsoba (IREQ) e inaugural talk, by Aurelio Cappozzo, gave a gen- Other speakers: eral overview of classical problems in biomechanics Julie Carreau (INRIA Rhône-Alpes), omas-Charles emphasizing the recent functional method that uses Fortier-Filion (CEHQ), Marie-Josée Fortin (Toronto), statistical models to determine the geometric charac- Nicholas Gralewicz (Victoria), Patrick Leighton (Mont- teristics of human joints. e other talks in biome- réal), Jed Long (Victoria), Alain Mailhot (INRS-ETE), chanics presented functional and manifold data for Colin Robertson (Victoria), Patrick Simard (INRS- specific problems such as the investigation of back pain ETE), Stephen Smith (BIO), William Weimin Yoo (Wa- among heavy equipment workers and the interaction terloo), Zhijie Zhang (een’s)
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Number of participants: 67 cussions entraînées par les exposés ont fait que ces deux journées se sont terminé beaucoup plus tard que Cet atelier a été conçu suite à un appel fait par l’Ins- prévu en dépit de la discipline des conférenciers ! i titut national sur les structures de données complexes plus est, à la demande générale, les aides visuelles que (INSDC). Il s’agit d’un atelier inaugural dont l’objectif les conférenciers ont utilisées lors de leurs présenta- est de réunir des étudiants, stagiaires et chercheurs des tions ont été mises sur le site web de l’atelier. Les dis- milieux académique et industriel ayant des intérêts de cussions du jour 3 ont été tout particulièrement ap- recherche liés à l’application de méthodes statistiques préciées. Plusieurs idées de financement (programmes pour l’analyse de données géographiques et/ou spa- spéciaux du CRSNG, idées d’ateliers pour chacun des tiales aux problèmes liés à la gestion des ressources na- sous-thèmes, problèmes de recherche susceptibles de turelles. Le support financier de l’INSDC a permis d’at- générer du financement pour des projets en équipe, tirer plusieurs conférenciers de l’extérieur du ébec, possibilités de stages MITACS) ont été identifiées. incluant une forte délégation de conférenciers français ainsi que plusieurs participants des États-Unis et de Les discussions en petits groupes ont déjà mené à de l’Ouest canadien. nouvelles collaborations. En outre, Lele et Forester pré- voient travailler sur la modélisation des habitats dispo- L’atelier était divisé en deux parties : les exposés nibles et leur prise en considération dans les méthodes scientifiques (jours 1 et 2) et une période de discus- d’estimation pondérées, et leur entretien a permis à sion sur les opportunités de financement accompagnée Lele de terminer un article passant en revue les mé- d’échanges entre des chercheurs formant des petits thodes d’ajustement de fonctions de sélection des res- groupes et ayant des intérêts de recherche communs sources. Chen et Deardon ont entrepris une collabora- (jour 3). Les 13 exposés du jour 1 (2 de 50 minutes, 6 de tion sur la modélisation de la propagation de la grippe 30 minutes et 5 de 20 minutes) portaient tous sur des A (H1N1) en Ontario. Il semblerait que les chercheurs sujets liés au sous-thème « hydrologie, météorologie, d’Hydro-ébec et d’Électricité de France ont échangé climatologie ». On y a discuté de modèles spatiaux de de nombreuses idées sur des problèmes communs. dispersion de l’ozone (Zidek), de méthodes d’interpo- lation spatiale des mesures de précipitations (V. For- Workshop tin, Carreau, Tapsoba, Fortier-Filion), de modélisation Analysis of Multiphase Biomembranes d’évènements climatiques extrêmes (Naveau, Garçon) April 24 – 26, 2010, McGill University ainsi que d’autres problèmes méthodologiques spéci- Sponsored by the Applied Mathematics Laboratory fiques en analyse ou en modélisation de données spa- tiales. Organizer: Eliot Fried (McGill) Les 7 exposés de la matinée du jour 2 traitaient de mé- Speakers: thodes employées dans l’analyse et la modélisation de Luca Deseri (Trento), Qiang Du (Penn State), Guy la propagation de maladies zoonotiques. On y a pré- Genin (WUSTL), James T. Jenkins (Cornell), Mikko senté une revue des méthodes utilisées pour modéli- Kartunnen (Western Ontario), David Steigmann (UC ser la distribution spatiale des espèces (Klinkenberg) Berkeley), Huai-Ying Zhang (McGill) ainsi que des approches particulières à des maladies Number of participants: 28 précises ou en présence de difficultés statistiques par- By all accounts, the workshop was a great success. It ticulières. Finalement, les 6 exposés de l’après-midi was devoted primarily to tutorial lectures given by Pro- du jour 2 étaient dédiés à des problèmes en écologie. fessors Du, Jenkins, and Steigmann. In addition, hour- On a discuté des méthodes et approches utilisées pour long research presentations were given by Professors construire des fonctions de sélection des ressources Deseri, Genin, Kartunnen, and Steigmann and a Ph.D. (Lele, Merrill, Keim) ainsi que des modèles spatiaux student, Ms. Zhang. pour divers problèmes en écologie (M.-J. Fortin, Smith, Gralewicz). Professors Jenkins and Steigmann provided in-depth derivations of the partial differential equations gov- Les participants se sont révélés très heureux du pro- erning equilibrium configurations of single- and multi- gramme, même s’il était très varié et très chargé. Les component biomembranes. ey also presented an- exposés des jours 1 et 2 ont tous suscité beaucoup d’in- alytical and numerical results regarding solutions to térêt dans l’auditoire. Les nombreuses questions et dis- these equations. Professor Du provided a comprehen-
36 M I P sive overview of numerical methods for solving both Speakers: static and dynamic problems for single- and multi- Youssef Belhamadia (Alberta), François Bertrand (Po- component biomembranes, with a strong focus on lytechnique Montréal), Richard Bois (Laval), Yves phase-field based methods. It is perhaps not particu- Bourgault (Oawa), Julien Bruchon (ÉNSM Saint- larly surprising that the many students who aended Étienne), Éric Chamberland (Laval), ierry Coupez the workshop benefited from these lectures. In addi- (Mines ParisTech), Michel Delfour (Montréal), Julien tion, faculty members with knowledge of the field also Dompierre (Laurentian), Mohamed Farhloul (Monc- found that these lectures provided valuable perspec- ton), Michel Fortin (Laval), Martin Gander (Genève), tive. Robert Guénee (Laval), François Guibault (Polytech- e research talks were also highly informative. Pro- nique Montréal), Wagdi Habashi (McGill), Frédéric fessor Deseri presented a new theory for phase transi- Hecht (UPMC), Hassan Manouzi (Laval), Zoubida tions in multicomponent biomembranes derived on the Mghazli (Ibn Tofaïl), Yvan Mokwinski (Polytechnique basis of Gamma-convergence. Professor Genin pre- Montréal), Dominique Pelletier (Polytechnique Mont- sented an overview of state-of-the-art imaging tech- réal), Marco Picasso (EPFL), Roger Pierre (Laval), niques with the goal of providing theorists and an- Jean-François Remacle (UC Louvain), Myriam Rioux alysts with background needed to connect their re- (Oawa), Abdellatif Serghini Mounim (Laurentian), sults with experimental measurements. Professor Kar- Olivier Sigouin (Laval), Azzeddine Soulaïmani (ÉTS), tunnen discussed the latest atomistic simulation tech- Pascal Turbis (Montréal), Bocar A. Wane (Laval) niques for biomembranes. Professor Steigmann pre- e conference itself took place on May 25 and May sented very exciting results for problems involving 27, 2010, while May 26 was the Special Day in Hon- biomembranes on surfaces. Finally, Ms. Zhang pre- our of Michel Fortin, a Université Laval Emeritus Pro- sented results from her thesis research concerning fessor who was also the founder and first director of molecular diffusion on biomembrane surfaces. GIREF (Groupe Interdisciplinaire de Recherche en Élé- Despite occurring over a weekend with unusually fine ments Finis), an interdisciplinary research group in fi- weather, aendance was consistently high throughout nite element methods. GIREF, which is now a CRM the workshop. All aendees appeared to have con- laboratory, includes both theoreticians and practition- sidered the time spent to be most worthwhile. ey ers working in numerical modelling and the finite el- were asked to respond to a few questions concerning ements method for solving PDEs (a field in which the workshop, and the analysis of their answers reveals Dr. Fortin is a world leader). Here is a partial list of the that topics of the conference and Special Day, all related to • they learned a lot during the workshop, the research interests of Dr. Fortin and his GIREF col- • the workshop was “a one-of-a-kind opportunity to leagues: adaptive finite elements, anisotropic meshing, discuss membrane physics across disciplines and adaptive meshing, approximation of stochastic PDEs length scales” (in the words of one participant), through the finite elements method, asymptotic topo- • the participants made new contacts, and logical development and adaptive meshing, numeri- • the workshop organization was excellent. cal methods for moving boundary problems, surface remeshing using harmonic maps, and applications to CRM – GIREF Conference on Adaptive cardiac medicine and aircra protection system design. Meshing and Error Estimation and Martin Gander gave a lecture on the history of varia- Special Day in Honour of Michel Fortin tional problems from Euler to modern computing and May 25 – 27, 2010, Université Laval the finite element methods, in which he highlighted the contributions of Walther Ritz, a Swiss physicist and Organizers: mathematician. Roger Pierre gave a talk about Michel André Fortin & José Manuel Urquiza (Laval) Fortin’s legacy, and Dr. Fortin himself gave a lecture on optimal adaptation and meshings.
37 CRM Prizes CRM P
CRM–Fields–PIMS Prize 2010 Awarded to Gordon Slade
tablished a very complete description of the critical window for the Hamming cube with randomly deleted edges. ese results concern the most difficult problems in central areas of probability and statistical physics. ese are questions motivated by physical problems that are easy to state and notoriously difficult to solve. e use of the lace expansion to establish mean field behaviour for the self-avoiding walk and critical perco- lation above the critical dimension is one of the major developments in probability theory in the last fieen years. Gordon Slade from the University of British Columbia Gordon Slade received his undergraduate degree from was awarded the 2010 CRM – Fields – PIMS Prize in the University of Toronto in 1977 and completed his recognition of his outstanding work in rigorous sta- doctoral degree with Lon Rosen and Joel Feldman tistical mechanics and probability. He is renowned for at the University of British Columbia in 1984. He developing a technique known as the lace expansion was Lecturer at the University of Virginia from 1985 into a systematic calculus, which he has applied to di- to 1986. In 1986 he joined the faculty of McMaster verse and famous problems including the self-avoiding University and since 1999 he has been Professor of walk, percolation, branched polymers, random graphs, Mathematics at the University of British Columbia. and numerical techniques for the exact enumeration More details on the contributions of Professor Slade of self-avoiding walks. In 1992 Hara and Slade proved to mathematics may be found in Le Bulletin du CRM that in five or more dimensions, the end-to-end dis- (Spring 2010). tance√ of a self-avoiding walk grows according to the same n law as that exhibited by a simple random The CRM – Fields – PIMS Prize walk and that the scaling limit of a self-avoiding walk is Brownian motion. is prize was established in 1994 as the CRM – Fields In 1989 Hara and Slade proved that the Aizenman – Prize to recognize exceptional research in the math- Newman triangle condition holds for critical percola- ematical sciences. In 2005, PIMS became an equal tion in high dimensions. e triangle condition implies partner in the awarding of the prize and its name a large collection of properties for the critical cluster was changed to the CRM – Fields – PIMS Prize. A that are collectively summarized by the term “mean commiee appointed by the three institutes chooses field theory.” Since this initial impetus, a quite com- the recipient. e previous recipients of the prize plete understanding of critical percolation clusters in are H. S. M. (Donald) Coxeter (1995), George A. El- high dimensions has grown out of work with his co- lio (1996), James Arthur (1997), Robert V. Moody authors Derbez, Hara, van der Hofstad, and den Hol- (1998), Stephen A. Cook (1999), Israel Michael Si- lander. In particular, the scaling limit of oriented per- gal (2000), William T. Tue (2001), John B. Friedlan- colation is the super-Brownian motion and the exis- der (2002), John McKay (2003), Edwin Perkins (2003), tence and properties of the incipient infinite perco- Donald A. Dawson (2004), David Boyd (2005), Nicole lation cluster have been established in certain cases. Tomczak-Jaegermann (2006), Joel S. Feldman (2007), By related methods, Slade and his co-authors have es- Allan Borodin (2008), and Martin Barlow (2009).
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André-Aisenstadt Prize 2010 Awarded to Omer Angel
e 2010 André-Aisenstadt Prize was awarded to Omer ric on a manifold has Hausdorff dimension 4. In more Angel of the University of British Columbia. Dr. An- recent work, Angel, Holroyd, Romik, and Virag gave gel won a gold medal at the 1993 International Math a very precise description of some of the statistics of Olympiad, and went on to obtain his Ph.D. from the a random sorting network, allowing them to make Weizmann Institute in 2003 under the supervision of the remarkable conjecture that a typical short (ran- Itai Benjamini and Oded Schramm. Aer postdoctoral dom) path between objects on a laice stays close to experiences at the Université Paris-Sud 11 and Univer- a geodesic (under the standard embedding). sity of British Columbia, and a faculty position at the A detailed description of the contributions of Omer University of Toronto, he joined the faculty at the Uni- Angel may be found in Le Bulletin du CRM versity of British Columbia in 2008. He works in prob- (Spring 2010). ability theory, on percolation, random walks, and ran- dom spatial processes of all sorts, with applications to The André-Aisenstadt Prize other areas of mathematics, physics, and even biology. He has many impressive results, of which we now de- Created in 1991, the André-Aisenstadt Mathematics scribe two. Prize is intended to recognize and reward research achievements in pure and applied mathematics by tal- ented young Canadian mathematicians. is prize consists of a $3,000 award and a medal. e recipient is chosen by the International Scientific Advisory Com- miee of the CRM. At the time of consideration, can- didates must be Canadian citizens or permanent resi- dents of Canada, and no more than seven years from their Ph.D. e previous recipients of the André-Aisenstadt Prize are Niky Kamran (1992), Ian Putnam (1993), Michael Ward (1995), Nigel Higson (1995), Adrian S. Lewis In early work Angel, with Schramm, put the local study (1996), Lisa Jeffrey (1997), Henri Darmon (1997), Boris of random triangulations on firm ground by proving Khesin (1998), John Toth (1999), Changfeng Gui (2000), the existence of a limit object. Subsequently he showed Eckhard Meinrenken (2001), Jinyi Chen (2002), Alexan- how to sample such a uniform random triangulation, der Brudnyi (2003), Vinayak Vatsal (2004), Ravi Vakil devising a tool that allowed him to determine the crit- (2005), Iosif Polterovich (2006), Tai-Peng Tsai (2006), ical percolation probability and establish the widely Alexander E. Holroyd (2007), Gregory G. Smith (2007), held belief (amongst physicists) that a random met- József Solymosi (2008), Jonathan Taylor (2008), and Valentin Blomer (2009).
CAP–CRM Prize 2010 Awarded to Clifford Burgess
e 2010 CAP – CRM Prize in eoretical and Mathe- models of cosmological inflation based on string the- matical Physics was awarded to Dr. Clifford Burgess, ory opened new areas of research. His ongoing re- from McMaster University and the Perimeter Insti- search in this area has brought string theory to a stage tute, for his prolific and influential work in theoretical where models of the early universe are regularly tested physics. Professor Burgess has made an impact over against the precision data of new cosmological exper- an unusually broad range of fields during his twenty iments. years of research in Canada. His contributions span Burgess has also made innovative contributions in superstring theory, early universe cosmology, parti- neutrino physics, double beta decay, and precision ac- cle phenomenology, astrophysics, and condensed mat- celerator measurements. Burgess is a renowned expert ter physics. His pioneering work in constructing new
40 CRM P
Study in Princeton, he joined the faculty at McGill Uni- versity in 1987 and was made James McGill Professor in 2003. He is presently a professor in the Department of Physics and Astronomy at McMaster University and an Associate Member at the Perimeter Institute. Pro- fessor Burgess was a Killam Fellow from 2005 to 2007 and was elected Fellow of the Royal Society of Canada in 2008. A detailed description of the contributions of Clifford Burgess may be found in Le Bulletin du CRM (Spring 2011).
The CAP – CRM Prize
e Centre de recherches mathématiques (CRM) and in the applications of effective field theory and has the Canadian Association of Physicists (CAP) created wrien a number of authoritative reviews on the topic. in 1995, on the occasion of the 50th anniversary of the He has also co-authored a graduate textbook on parti- CAP, a joint prize for recognizing exceptional achieve- cle physics. With over 120 published research articles, ments in theoretical and mathematical physics. e he is one of Canada’s most prolific and highly cited prize consists of a $2,000 award and a medal. particle theorists. His research consistently demon- e previous recipients of the prize are Werner Is- strates a very high quality and remarkable creativity, rael (1995), William G. Unruh (1996), Ian Affleck and as a result, Professor Burgess has aained an out- (1997), J. Richard Bond (1998), David J. Rowe (1999), standing international profile in the theoretical physics Gordon W. Semenoff (2000), André-Marie Tremblay community. (2001), Pavel Winternitz (2002), Mahew Choptuik Clifford Burgess carried out doctoral work in eoreti- (2003), Jiří Patera (2004), Robert C. Myers (2005), John cal Particle Physics at the University of Texas at Austin Harnad (2006), Joel S. Feldman (2007), Richard Cleve under the supervision of Steven Weinberg. Aer do- (2008), and Hong Guo (2009). ing a postdoctoral stint at the Institute for Advanced CRM–SSC Prize 2010 Awarded to Grace Yi
Grace Y. Yi, Professor in the came to Canada to study statistics. She received an Department of Statistics and M.A. from York University in 1996 and completed her Actuarial Science at the Uni- Ph.D. at the University of Toronto in 2000, under the versity of Waterloo, is the supervision of Don Fraser. Aer postdoctoral studies 2010 winner of the CRM – with Richard J. Cook, she was appointed Assistant Pro- SSC Prize. Within 10 years fessor at the University of Waterloo in 2001. She was of her Ph.D., she has con- promoted to Associate Professor in 2004 and is now a tributed in a significant way Full Professor. In 2004, Professor Yi received a Univer- to the development of statis- sity Faculty Award from the Natural Sciences and En- tical methods for longitudi- gineering Research Council of Canada (NSERC). Her nal studies and the analysis of time-to-event data, es- research has been supported by NSERC since the be- pecially for the treatment of missing observations and ginning of her career. measurement errors. Her work on the asymptotic be- Grace Yi has been quite successful in advancing foun- haviour of parametric and semi-parametric inference dational work and developing novel methodology for techniques has also been influential in statistics and health and medical research applications. She was in- biostatistics. vited to present her work at numerous national and in- Professor Yi studied mathematics at Sichuan Univer- ternational conferences, including the Annual Meeting sity in the People’s Republic of China, where she ob- of the Statistical Society of Canada, the Joint Statistical tained a B.Sc. in 1986 and an M.Sc. in 1989. She then Meetings, the Statistics Canada Symposium, and meet-
41 C ings of the International Biometrics Society and the The CRM – SSC Prize International Chinese Statistical Association. She has served as an Associate Editor for e Canadian Jour- e SSC, founded in 1977, is dedicated to the promo- nal of Statistics and the Journal of Applied Probability tion of excellence in statistical research and practice. and Statistics. Professor Yi has also been a Biostatistics e prestigious CRM-SSC Prize, jointly sponsored by and Research Methods Advisor and an external Bio- the SSC and the CRM, is given each year to a Canadian statistics reviewer for the Grant Review Panel of the statistician in recognition of outstanding contributions Canadian Breast Cancer Foundation, Ontario Region. to the discipline during the recipient’s first 15 years af- She has done extensive refereeing work for statistical ter earning a doctorate. journals and granting agencies. Grace Yi is the twelh recipient of the CRM – SSC A detailed description of the contributions of Pro- Prize. e previous winners of the award are Christian fessor Yi may be found in Le Bulletin du CRM Genest (1999), Robert J. Tibshirani (2000), Colleen D. (Spring 2011). Cutler (2001), Larry A. Wasserman (2002), Char- maine B. Dean (2003), Randy Sier (2004), Jiahua Chen (2005), Jeffrey Rosenthal (2006), Richard Cook (2007), Paul Gustafson (2008), and Hugh Chipman (2009).
42 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 four lectures geared towards a general audience in 2009 – 2010. ree of the lectures took place at the Université de Montréal: a lecture by Professor Jean Mawhin on October 8, 2009, a lecture by Professor Jeffrey Rosenthal on November 12, 2009, and a lecture by Ivars Peterson on February 4, 2010. Another lecture was given by Professor Michel Waldschmidt at Université Laval on September 25, 2009. e reader will find summaries of these lectures below. Each Grande Conférence aracted 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 2009 – 2010, the Grandes Conférences program was under the stewardship of Christiane Rousseau and Yvan Saint-Aubin, professors at the department of mathematics and statistics of the Université de Montréal.
Arithmetic Problems Posed by Rabbits, Cows, and the Da Vinci Code Michel Waldschmidt (Université Pierre et Marie Curie) by Claude Levesque (Université Laval)
On Friday evening, In the Da Vinci Code, the first eight numbers of this se- September 25, 2009, a quence, i.e., 1 – 1 – 2 – 3 – 5 – 8 – 13 – 21, are used as a CRM “Grande Confé- password. Integer sequences, be they those used to count rence” given by Pro- Fibonacci’s rabbits, a sunflower’s spirals, Narayana’s fessor Michel Wald- cows, or other sequences defined in an analogous way, schmidt from the Uni- raise a certain number of arithmetic questions, some of versité Pierre et Marie which have been resolved recently, while others still chal- Curie was held in the lenge present-day mathematicians. ese mathemati- magnificent Hydro-ébec auditorium at Université cians work for “the honour of the human spirit.” Laval. e talk addressed arithmetic questions posed Michel Waldschmidt began by presenting the problem by rabbits, cows, and the Da Vinci Code. You guessed of Narayana’s cows. Narayana was an Indian mathe- {F } ∈N it, we are talking about the sequence n n of Fi- matician from the 14th century, who proposed the fol- F = F + F bonacci numbers, for which n+2 n+1 n holds lowing problem: a cow produces one calf every year. F = 0 F = 1 with 0 and 1 . From the outset, let me stress Beginning in its fourth year, each cow produces one that Professor Waldschmidt gave an excellent talk for calf at the start of each year. How many cows and a general audience. calves are there aer 17 years? e speaker described e publicity in Le Soleil and Le Journal de ébec what happens each year to conclude that the number newspapers, as well as the delightful CRM posters de- of cows is equal to the total number of cows in the picting Professor Waldschmidt under a horde of rab- previous year plus the total from two years prior. He bits, were quite effective. As for the lecture given by was careful not to explicitly write that we are deal- Professor Yvan Saint-Aubin last year, the auditorium ing with a third-order linear recurrence {vn}n∈N with was filled to capacity: at least 250 people were present. v1 = v2 = v3 = 1. He then brought up a piano piece e poster read as follows: composed by Tom Johnson based on this Narayana se- … Fibonacci studied the growth of a population of rab- quence. Johnson’s work is composed as follows: a long bits that reproduced according to the following law. Each sound corresponds to a cow and a short sound corre- couple that reached two years of age gave birth every sponds to a calf; at each stage, the piece is constructed year to a new couple. with the musical score from the previous stage fol- e Fibonacci sequence is thus 1, 1, 2, 3, 5, 8, 13, 21, 34, lowed by the musical score from two stages previous 55, 89, 144, 233, 377, 610, 987, 1597, 2584, …. to that. e speaker played a sample of this music, and though the result did not seem to meet the approval of
44 T CRM O P all members of the audience, we at least had the satis- (1) I love you, (2) A lile, (3) A lot, faction of understanding how Tom Johnson composes (4) Passionately, (5) Madly, (6) Not at all, his music! until we reach the last petal. As the number of petals is oen a Fibonacci number, this means in effect con- Waldschmidt then presented Archimedes’ cale prob- sidering the sequence of remainders obtained aer lem, a riddle in the form of an epigram that involves dividing the Fibonacci sequence numbers by 6. Since calculating the number of cale in the sun god’s herd. this series begins with 1, 1, 2, 3, 5, 2, 1, 3, 4, 1, 5, 0, e audience was delighted to hear that a sphere with 5, … and since the first multiple of 6 (in the Fibonacci the diameter of the Milky Way, that light would take sequence) is 144, it is highly unlikely that the last petal ten thousand years to cross, would contain just a will fall on the sixth choice. It is just a short step to minute part of this herd, if we assume that the size of conclude that daisies teach us that we are in love with each animal does not exceed that of the most minus- just about everybody…, or at least we should be. cule bacterium. e speaker then brought up the eight-number secret Aer explaining what the exponential sequence 2n is code for the Da Vinci Code safe: 13 – 3 – 2 – 21 – 1 – 1 – by calculating the number of ancestors of any given 8 – 5, that is, the first eight numbers of the Fibonacci se- person, he moved on to the problem of bees whose quence that simply need to be put back into the proper births are subject to the following rule: e males only order. He continued by presenting the golden rectan- have a mother, while the females have a mother and a gle and the golden number. en came the Penrose father. It turns out that the number of bees, at a certain tilings, all accompanied by beautiful images. At the stage, is equal to the sum of the two previous stages. end of the talk, Professor Waldschmidt mentioned the e presentation was accompanied with slides, allow- following unresolved problem: Is there an infinity of ing us to see the evolution of the swarm of bees from Fibonacci numbers that are prime? one generation to the next, to the great delight of the audience. Professor Waldschmidt concluded by citing the follow- ing leer wrien by Jacobi on July 2, 1830, to Legendre: Next up came Fibonacci’s rabbits, complete with slides “Mr. Fourier was of the opinion that the principal goal of to show the evolution of the population; each picture mathematics is the public interest and the explanation of was worth a thousand words. Professor Waldschmidt natural phenomena; but a philosopher such as he should did not need a recurrence formula to introduce Fi- have known that the only goal of science is the honour bonacci’s numbers! He took advantage of this to men- of the human spirit, and that for this reason a question tion that according to Alfred Lotka’s theory of stable about numbers is every bit as worthwhile as a question populations, if each couple gives birth to a couple only about the system of the world.” the first two seasons, the number of couples born each year will still follow Fibonacci’s law. He then went e members of the audience would certainly have on to explain phyllotaxy, the order by which leaves or liked to ask questions, but the organizer judged that small branches are implanted on the stem of a plant, or, everybody needed some respite aer such a colour- by extension, the arrangement of elements on a fruit, a ful contact with the fauna and flora. It was then that flower, a bud, or a capitulum (according to Wikipedia). the cows’ milk and the bees’ honey were miraculously transformed into wine offered by the CRM. e mem- One of the high points of the conference was the bers of the audience were encouraged to ask their ques- game “love-you, love-you-not.” It involves removing tions around a table laden with appetizers, and glasses one petal at a time from a daisy while repeating in a of wine or juice: Carpe diem. In vino veritas! cyclical fashion:
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Brouwer’s Fixed-Point Theorem: a Mathematical Chameleon Jean Mawhin (Université catholique de Louvain) by Christiane Rousseau (Université de Montréal)
On October 8, 2009, the CRM “Grandes Conférences” point whose image is its antipode. e audience was series featured Jean Mawhin, Professor Emeritus at the then treated to all possible equivalent formulations, in- Université catholique de Louvain, who gave a talk with cluding the following: we can set a sphere’s hair with the catchy title: “Brouwer’s Fixed-Point eorem: a a crew cut, but if we try to comb the hair smoothly, Mathematical Chameleon.” e conference began as there will always be one noncompliant hair! e news a radio news broadcast with news briefs on the eco- brief on vacation weather was demonstrated using the nomy, science, culture, Borsuk – Ulam theorem: “every transformation of Sn and leisure, as well as into Rn maps some pair of antipodal points to the same vacation weather, all point.”As another application, the speaker described in peppered by editorial detail the manner in which one can slice a sandwich or comments! Here, for two pancakes fairly using a single cut. example, is a news e public then played the Sperner game with the brief on the economy: speaker and verified with him that this game is not “In a non-cooperative fair for the person who starts playing. e general- game with any number ization to n-dimensional space was presented, as well of players, there is al- as the fact that this game is equivalent to Brouwer’s ways a social equilib- fixed-point theorem. e audience was then treated rium,” and the weather: “At any moment in time, there to applications of this theorem to mathematical eco- exists on Earth two antipodal points with the same nomics, through non-cooperative games, Nash equi- atmospheric pressure and the same temperature.” e libria, and Nash’s famous theorem stating that every common theme for all of these news briefs, as you have non-cooperative game with n players has an equi- probably guessed, is Brouwer’s fixed-point theorem. librium; this result is one of the contributions that e speaker then defined the notion of a fixed point of won John Nash the Nobel Prize for Economics in a transformation, illustrated abundantly through ex- 1994. e public could let their imagination run amples of usual geometric transformations: symme- free as Professor Mawhin spoke about the generaliza- tries, rotations, etc. He showed the importance of the tions to infinite-dimensional spaces, about what is no hypothesis that the transformation is continuous. He longer true and what is still true in such spaces, and also brought to light the importance of the “topology” about the strange characteristics of drums in infinite- of the set, since a rotation of a circle into itself does not dimensional spaces. have a fixed point. Brouwer’s fixed-point theorem as- Jean Mawhin went on to present the development of serts that every continuous transformation of the unit generalizations of Brouwer’s fixed-point theorem in Bn ball, , into itself has a fixed point. Jean Mawhin gave infinite-dimensional spaces (including Schauder’s and n = 1 the idea underlying the proof in the cases and Tikhonov’s theorems), and explained that Brouwer’s n = 2 before moving on to the history of the theo- fixed-point theorem is at the crossroads of several rem discovery. He then defined the notions of retrac- mathematical disciplines and has many applications tion and retract of a set, which he illustrated amply to mechanics, physics, chemistry, biology, economics, before explaining that Brouwer’s fixed-point theorem and demography. He challenged the audience to find Sn is equivalent to Borsuk’s theorem (“ is not a retract the next applications! Professor Mawhin concluded Bn + 1 of ”). his colourful conference by recalling that the theory Professor Mawhin also explained how rotations of a of fixed points is a mixture of seemingly futile and space into itself can detect the parity of this space, seemingly serious questions and that “their study has thanks to another one of Brouwer’s great theorems, ac- contributed in equal parts to the honour of the human cording to which if n is even, every transformation of spirit and the knowledge of nature.” e evening ended the sphere Sn into itself has either a fixed point, or a with a very lively wine and cheese party.
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Coin Flipping and Other estions of Probability Jeffrey Rosenthal (University of Toronto)
On November 12, 2009, the “Grandes Conférences” se- site probability.ca/sbl/). For instance this book ries featured Jeffrey Rosenthal, who obtained a Ph.D. was the eighth on the list of Best Books of 2005: Editors’ from Harvard University and is now professor at the Picks in Nonfiction on the Amazon site (amazon.ca). University of Toronto. Dr. Rosenthal was awarded Dr. Rosenthal’s lecture had a very apt title, since all the many honours for his research (including the CRM – key concepts of his lecture were introduced through SSC Prize in 2006) and his teaching (in particular coin flipping experiments! is pedagogical point of prizes from Harvard Uni- view may seem narrow; the concepts introduced, how- versity and the Univer- ever, were subtle and difficult to grasp. Dr. Rosenthal sity of Toronto). He has was able to convince his audience that probabilistic gained recognition as an methods are very useful for describing phenomena in outstanding popularizer diverse fields, some of which are well known (loeries, and one of his books, en- casino games, polls, coincidences in everyday life) and titled Struck by Ligthning: others not so much (the spread of illnesses, clinical e Curious World of Prob- studies for testing new medication, etc.). Dr. Rosen- abilities (the basis for his thal’s lecture was a magnificent display of his peda- “Grande Conférence” lec- gogical skills. ture, delivered in French), was very successful (cf. the
Geometreks — Ivars Peterson (Mathematical Association of America) by Christiane Rousseau (Université de Montréal)
Ivars Peterson is a well- (also in Washington), which maintains its balance even known author of many though its beams do not touch one another; the Man mathematics and science in the Community Pavilion at Expo 67; church arches; books for the general pub- the Gateway Arch in St. Louis (Missouri), whose shape lic, and was a scientific is an inverted catenary; and the curves in the profile of journalist for the mag- the Eiffel Tower. Ivars Peterson illustrated how cer- azine Science News for tain window grids resemble Riemann sums from inte- more than 25 years. His gration theory. e observation of famous buildings initial training in physics revealed, among other things, several occurrences of and chemistry led him to the Gaussian distribution in the ageing of buildings. consider applications of Ivars Peterson also described the mathematics of mathematics to all fields Reuleaux’s triangle, a geometric shape with the prop- of science. e talk that he gave on February 4, 2010, erty that it always touches two parallel lines whose at the CRM was entitled Geometreks. e audience distance is equal to the diameter of the shape. e was invited to take a tour of the world surrounding speaker brought up the paradoxes by passing through us, and to observe the mathematics underlying the ar- “No Name Street” and mentioning the fact that every chitecture and art that we see every day. e lecture integer is characterized by a property. For instance, the was abundantly illustrated with photographs, most of number 1729 is the first number that can be wrien in which taken by the speaker all over the world. two ways as the sum of two cubes, since we have the A large part of the lecture was about the observation relations 1729 = 13 + 123 and 1729 = 93 + 103. An- of architectural creations, each more spectacular than other detour led the audience to the Encyclopedia of the next: the National Gallery of Art in Washington Integer Sequences, which allows one to find the spe- with its acute angles; Kenneth Snelson’s Needle Tower cific properties of certain sequences of integers.
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Ivars Peterson also showed the audience how numbers with the audience his enthusiasm for Möbius strips by have inspired artists. For example, Arlene Stamp was showing that they appear in many sculptures, as well inspired by the writing of integers in base two when as in the well-known symbol for recycling, which is she created her friezes, and by the decimals of π when sometimes reproduced incorrectly: the border of the she created a mural in a Toronto subway station. Hela- true symbol is a trivial knot, while the border of the man Ferguson’s fountain is inspired by Fibonacci num- false symbol is a trefoil knot. bers. Geometry inspired Sol LeWi in his pyramid Towards the end of his lecture, Ivars Peterson spoke with four sides, his colourful murals, and his open, in- about fractals, which are marvellous models for shapes complete cubes, as well as Arthur Silverman, Robinson found in nature. He finished the conference by show- Fredenthal, and Ted Bieler, for their sculptures using ing a sculpture by Helaman Ferguson, “Umbilical polyhedrons. A visit to the National Gallery of Canada Torus,” whose section is a hypocycloid and whose sur- in Oawa provided the pretext for a digression on the face motifs imitate a Peano curve. Ivars Peterson’s game of pursuit and the remarkable spirals generated message to the audience was to open one’s eyes and by the pursuers. notice all of the mathematics in our surroundings. e e speaker showed the United States Pavilion at bright eyes at the end of the talk and the conversations Expo 67 (now the Biosphere) and drew the audience’s during the wine and cheese party demonstrated that aention to the hexagonal structure of the cells. Using the message had been well received! an animation, he explained why pentagons are neces- sary to complete the structure. Ivars Peterson shared
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CRM is strongly commied 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 International Scientific Advisory Commiee 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 orga- nizes 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 with other societies and institutes abroad.
CRM Partners
The Fields Institute (FI) and the Pacific Proceedings and Lecture Notes. e CRM Series in Institute for the Mathematical Sciences Mathematical Physics is published by Springer. e (PIMS) CRM has exchange agreements with the Fields Insti- tute, PIMS, MSRI, the Institute for Mathematics and Since the early 1990s two other research institutes have its Applications (USA), École normale supérieure, the joined the CRM on the Canadian scene: Toronto’s Isaac Newton Institute, the Institut des Hautes Études Fields Institute (FI) and the Pacific Institute for the Scientifiques, and BIRS. Mathematical Sciences (PIMS). As well as coordinat- ing their scientific activities, the three institutes have Associations and Professional Societies worked closely on a variety of initiatives, the most im- portant of which is the Mathematics of Information e CRM maintains close ties with the different pro- Technology and Complex Systems network (MITACS). fessional societies in the mathematical sciences: CMS, e three institutes were also involved in other initia- CAIMS, SSC, and CAP. e president of the CMS is tives, such as the CRM – Fields Prize awarded in recog- an ex-officio member of the CRM International Sci- nition of outstanding accomplishments in the math- entific Advisory Commiee. e CRM has also sup- ematical sciences in Canada. It was created in 1994 ported financially certain initiatives of the CMS, such and in 2005 became the CRM – Fields – PIMS Prize. e as the mathematical camps. Together with the other administrative responsibility for this prize rotates be- institutes, the CRM organizes or sponsors special ses- tween the three institutes. sions at the CMS, CAIMS, and SSC meetings. e CRM awards a prize each year jointly with the SSC; simi- International and National Collaborations larly, it awards a prize each year with the CAP in math- ematical and theoretical physics. In 2009 – 2010, the CRM collaborated in particular with the following institutions: Inserm, INRIA, the Banff The Mathematics of Information International Research Station (BIRS), the Groupe Technology and Complex Systems Network d’études et de recherche en analyse des décisions (MITACS) (GERAD), the National Institute for Complex Data Structures (NICDS), and the Tata Institute of Funda- MITACS (Mathematics of Information Technology mental Research (including the Centre for Applicable and Complex Systems) is a pan-Canadian network Mathematics, located in Bangalore). for mathematics whose creation was proposed by the three Canadian mathematical sciences institutes, In its publishing activities, the CRM is continuing its the CRM, Fields and PIMS. MITACS was officially partnership with the American Mathematical Society launched on February 19, 1999. By March 1999, all (AMS), in particular through its two series of joint pub- 21 initial research projects were under way. MITACS lications, the CRM Monograph Series and the CRM leads Canada’s effort in the generation, application,
50 CRM P and commercialization of new mathematical tools and In 2009 – 2010, the NICDS sponsored two workshops methodologies within a world-class research program. at the CRM: the workshop on Analysis of Directional In order to do so, MITACS initiates and fosters linkages Data with Applications to Biomechanics and Biomedical with industrial, governmental, and not-for-profit orga- Imaging and the workshop on Statistical Methods for nizations. e only network of centres of excellence Geographic and Spatial Data in the Management of Nat- for the mathematical sciences, MITACS currently in- ural Resources (see the Section Multidisciplinary and volves more than 300 scientists and 600 students (from Industrial Program, p. 35). almost 50 universities) working on approximately 30 projects. MITACS research focuses on five key sectors NICDS Projects of the economy: biomedical and health sector; envi- • Statistical Methods for Complex Survey Data ronment and natural resources; information process- Project Leader: Changbao Wu (Waterloo) ing; risk and finance; and communication, networks, and security. • Canadian Consortium on Statistical Genomics Project Leader: Rafal Kustra (Toronto) MITACS also extends financial support to some events organized by the CRM and other institutions. In par- • Data Mining with Complex Data Structures ticular, in 2009 – 2010, it supported in part the first Project Leaders: Hugh Chipman (Acadia), Antonio three workshops of the thematic semester on imag- Ciampi (McGill), eodora Kourti (McMaster), Hel- ing science (see the Section ematic Program) and mut Kröger (Laval) the ird Montréal Industrial Problem Solving Workshop • Design and Analysis of Computer Experiments for (see the Section Multidisciplinary and Industrial Pro- Complex Systems gram, p. 34). Project Leader: Derek Bingham (Simon Fraser)
The National Institute for Complex Data • Forests, Fires and Stochastic Modelling Structures (NICDS) Project Leaders: John Braun (Western Ontario), Charmaine Dean (Simon Fraser), Dave Martell In 2008 – 2009, the Canadian statistical community (Toronto) took the initiative and transformed the NPCDS, a na- • Spatial/Temporal Modelling of Marine Ecological tional network in statistics created by the statistical Systems community and the three Canadian mathematics in- Project Leaders: Michael Dowd, Joanna Flemming, stitutes, into an institute, the NICDS. e NICDS was Chris Field (Dalhousie), Rick Routledge (Simon created in response to a pressing need to involve statis- Fraser) ticians in collaborations with researchers from various • Statistical Innovation for the Analysis of Complex disciplines. Its mandate is to enrich and enlarge the Data in Medical and Health Science national research enterprise through a powerful new Project leaders: Richard Cook (Waterloo), Michal model for the statistical sciences. is model has three Abrahamowicz (McGill), Paul Gustafson (UBC), striking, unique features: Wendy Lou (Toronto), Peter Song (Waterloo), Liqun • the creation of interdisciplinary research teams with Wang (Manitoba) quantitative leadership; • the training of the next generation of quantitative Atlantic Association for Research in the researchers to ensure that they will become well Mathematical Sciences (AARMS) versed in the language of multiple disciplines and be prepared to hold leadership positions in long-term AARMS was founded in March 1996 at a time when scientific collaborations; the National Network for Research in the Mathemati- • the raising of the national profile of the statistical cal Sciences was being discussed and planned. AARMS sciences. exists to encourage and advance research in all math- ematical sciences, including statistics and computer In the context of this model, and supported by a proac- science, in the Atlantic region. In addition, AARMS tive management team, the NICDS elicits research pro- acts as a regional voice in discussions of the mathe- posals and builds research projects that are national in matical sciences on a national level. Since its incep- scope and involve numerous disciplines and partners.
51 C tion, AARMS has played an important role in the re- • Sixth Annual East Coast Combinatorics Conference search activities in the Atlantic region, sponsoring or April 29 – 30, 2010, Saint Mary’s University co-sponsoring numerous meetings and workshops. In Organizers: Art Finbow, Bert Hartnell (Saint Mary’s) the summer of 2002, AARMS initiated an annual Sum- • W. J. Blundon Seminar mer School for graduate students and promising un- May 19 – 21, 2010, Memorial University dergraduates. AARMS is grateful to Canada’s three Organization: High School Competitions Com- mathematical institutes, the Centre de recherches ma- miee, Department of Mathematics and Statistics, thématiques, the Fields Institute, and the Pacific Insti- Memorial University tute for the Mathematical Sciences as well as to the member universities, for providing funding for its ac- Academic Partners tivities. Its member universities are Acadia Univer- sity, Cape Breton University, Dalhousie University, e activities of the CRM rest on a solid basis of co- Memorial University of Newfoundland, Mount Allison operation with regional universities, in particular the University, St. Francis Xavier University, Saint Mary’s Montréal universities, and most particularly the Uni- University, the Université de Moncton, the University versité de Montréal, whose support for the CRM has of New Brunswick, and the University of Prince Ed- been unfailing. e Université de Montréal releases ward Island. five of its faculty members to work at the CRM each year, and the support of these faculty members is an es- AARMS Scientific Activities sential asset for the CRM’s scientific activities. ere is • eory Canada 5 in addition a regular program of teaching releases with June 3 – 6, 2009, University of New Brunswick the other Montréal universities, bringing the equiva- Local organizer: Viqar Husain (New Brunswick) lent of another two positions to the CRM each year. On an ad-hoc basis linked to the thematic program, • International Workshop/Special session of 2009 the CRM has also been arranging the release of re- Summer CMS meeting: Groups and Hopf Algebras search personnel from nearby universities such as La- June 3 – 8, 2009, Memorial University val, Sherbrooke, een’s, and Oawa. e partner- Local organization: Atlantic Algebra Centre ships of the CRM with the other research institutes in • Graph Searching: special session, CMS summer the Montréal area have been very profitable. meeting With the financial support of the Université de Mont- June 6 – 8, 2009, Memorial University réal, McGill University, the Université du ébec à Organizer: Anthony Bonato (Ryerson) Montréal, Concordia University, and Université Laval, • Mathematics Education: special session, CMS sum- as well as grants from NSERC and the Fonds québé- mer meeting cois de la recherche sur la nature et les technologies June 6 – 8, 2009, Memorial University (FQRNT), the CRM finances the activities of its ten lab- Organizer: Sherry Mantyka (Memorial) oratories, which collectively represent the most active • International Conference on Nielsen eory branches of the mathematical sciences. ese labora- June 9 – 13, 2009, Memorial University tories are the perfect illustration of scientific vitality Local organizer: Philip Heath (Memorial) and serve to feed the national and international scien- tific programs of the CRM. e reader may refer to the • Bluenose Numerical Analysis Days 2009 Section Research Laboratories for descriptions of the July 10, 2009, Acadia University activities of each of these laboratories. Local organization: Ronald Haynes (Memorial), Richard Karsten (Acadia), Paul Muir (Saint Mary’s), Association with the University of Oawa Patrick Keast (Dalhousie) • APICS Math/Stats/CS conference 2009 In 2003, the Department of Mathematics and Statistics October 23 – 25, 2009, Dalhousie University of the University of Oawa became a member of the Local organization: David Iron, Richard Nowa- Centre de recherches mathématiques (CRM). In part- kowski, Art Sedgwick (Dalhousie) nership with the University of Oawa, the CRM cofi- nances the CRM – University of Oawa Distinguished Lecture Series, postdoctoral fellowships, and teaching
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releases so that University of Oawa faculty members merce. e ncm2 was founded by the CRM, the Centre can undertake research with colleagues in the CRM’s de recherche en calcul appliqué (CERCA), the Center laboratories or participate in the scientific activities of for Interuniversity Research and Analysis of Organi- the CRM. zations (CIRANO), the Centre for Research on Trans- portation (CRT), GERAD, the Centre de recherche in- CRM – University of Oawa Distinguished formatique de Montréal (CRIM), and the Institut natio- Lecture Series nal de la recherche scientifique – Télécommunications (INRS-Télécom). At the present time the following e series features talks by prominent mathematicians centres are members of the ncm2: CIRANO, CIRRELT, from Canada and abroad on topics at the forefront of CRM, GERAD, and INRS-ÉMT. today’s mathematical research. In 2009-2010 there was one such talk at the University of Oawa. ébec Neuroimaging Initiative (RNQ)
• Categorification of quantum groups In recent years, CRM’s PhysNum laboratory has devel- Mikhail Khovanov (Columbia), April 23, 2010 oped a strong collaborative network with various part- ners in neuroimaging in the Montréal area. is net- Network for Computing and Mathematical work became an officially recognized network with the Modeling (ncm2) founding of the Regroupement Neuroimagerie ébec (RNQ), under the umbrella of the Institut universitaire e CRM is one of the founding members of the de gériatrie de Montréal. RNQ, with its 70 researchers, Network for Computing and Mathematical Modeling has recently purchased some key equipment in neu- (ncm2), a network created by several research cen- roimaging thanks to a very large grant ($11M). One tres in order to respond to the needs of industry in of the strongest alliances of the CRM within that net- fields related to computing and mathematical mod- work is its association with the INSERM laboratory elling. e research of the network focuses on five for brain imaging at FMPMC Pitié-Salpêtrière (Paris), major themes: risk management, information process- whose director is Dr. Habib Benali. ing, imaging and parallel computing, transport and telecommunications, and health and electronic com-
Joint Initiatives
e annual meetings of the CMS, SSC, and CAIMS, as well as some of their training and promotion activities, are jointly sponsored by the CRM, the Fields Institute, PIMS, and MITACS.
2009 Annual meeting of the Statistical Local Arrangements Commiee: Society of Canada Matias Salibián-Barrera, chair; Lang Wu; Nancy Heck- May 31 – June 3, 2009, University of British Columbia man (UBC) Sponsored by the CRM, the Fields Institute, PIMS, MI- e 37th Annual Meeting of the SSC was a great suc- TACS, the University of British Columbia (Faculty of cess, and included an impressive number of communi- Science, Department of Statistics, School of Population cations (more than 370). e meeting featured a ses- and Public Health), Simon Fraser University (Depart- sion in honour of Jack Kalbfleisch’s 65th birthday and ment of Statistics and Actuarial Science), University of memorial sessions in honour of Randy Sier and Keith Victoria (Department of Mathematics and Statistics), Worsley, respectively. It also featured many addresses Michael Smith Laboratories, Capital One, FPInnova- and lectures, in particular the following ones. tions, STATA, and Syreon Corporation • SSC Presidential Invited Address (Chris Wild, Auck- Program Commiee Chair: land). Wendy Lou (Toronto) • Special Invited Session of the Survey Methods Sec- tion (Jean-François Beaumont, Statistics Canada).
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• Isobel Loutit Invited Address on Business and Indus- Combinatorial Designs and Related Topics trial Statistics (William Woodall, Virginia Tech). Organizers: Václav Linek (Winnipeg), Nabil Shalaby • Gold Medal Award Address (Luc Devroye, McGill). (Memorial) • Special Invited Session of the Probability Section (Pe- Financial Mathematics ter Guorp, Washington). Organizers: Cody Hyndman (Concordia), Rogemar Mamon (Western Ontario) • Canadian Journal of Statistics Award Address (Qing Pan, George Washington; Douglas Schaubel, Michi- Geometric Harmonic Analysis and Partial Differential gan). Equations Organizer: Jie Xiao (Memorial) • Special Invited Session of the Biostatistics Section (Charles McCulloch and John Neuhaus, UCSF). Graph Searching Organizers: Anthony Bonato (Ryerson), Danny Dyer • Pierre Robillard Award Addresses (Baojiang Chen, (Memorial), Gary McGillivray (Victoria) Washington; Grace Yi & Richard Cook, Waterloo). Groups and Hopf Algebras • Address of the winner of the CRM – SSC Prize (Hugh Organizers: Yuri Bahturin (Memorial), Margaret Beat- Chipman, Acadia). tie (Mount Allison), Eric Jespers (VUB), Wolfgang Kimmerle (Stugart), Mikhail Kotchetov (Memorial), CMS – CSHPM Summer Meeting 2009 David Radford (UIC), Sudarshan Sehgal (Alberta), Earl June 6 – 8, 2009, Memorial University Ta (Rutgers) Sponsored by the CRM, the Fields Institute, PIMS, MI- History and Philosophy of Mathematics (CSHPM) TACS, AARMS, Memorial University, and the Cana- Organizer: Tom Drucker (Wisconsin – Whitewater) dian Language & Literacy Research Network History of the Relationship Between Mathematics and Meeting Directors: the Physical Sciences (CSHPM) David Pike & Danny Dyer (Memorial) Organizer: Tom Archibald (Simon Fraser) In June 2009 the CMS summer meeting was orga- Interactions Between Algebraic Geometry and Ring e- nized jointly with e Canadian Society for History ory and Philosophy of Mathematics (CSHPM). e meet- Organizers: Jason Bell (Simon Fraser), Colin Ingalls ing featured talks by the following plenary speak- (New Brunswick) ers: Elizabeth J. Billington (eensland), Jeremy Gray Mathematical Physics (Open & Warwick), Michael Mackey (McGill), Su- Organizers: Marco Merkli & Chris Radford (Memorial) san Montgomery (Southern California), Michael Sigal Nonlinear Dynamics and Applications (Toronto), and Gaoyong Zhang (NYU-Poly). e Ex- Organizers: Gail Wolkowicz (McMaster), Yuan Yuan & cellence in Teaching Award was awarded to David Xiaoqiang Zhao (Memorial) Poole (Trent), the Jeffery – Williams Prize to Stephen Numeracy/Mathematics Education Kudla (Toronto), and the Krieger – Nelson Prize to Yael Organizers: Sherry Mantyka (Memorial) and Canadian Karshon (Toronto). Helaman Ferguson, sculptor and Language and Literacy Research Network mathematician, gave a public lecture entitled Mathe- Numerical Analysis and Scientific Computing matics in Stone and Bronze. Organizers: Jahrul Alam (Memorial), Wenyuan Liao Here is a list of the 18 sessions, along with their orga- (Calgary) nizers. Operator Algebras Algebraic Combinatorics Organizers: Andrew J. Dean (Lakehead), George Ellio Organizers: Steve Kirkland & Karen Meagher (Regina) (Toronto), Marco Merkli (Memorial) Algebraic Geometry and Topology (Canada/Korea) Reaction-Diffusion Systems and eir Applications Organizers: Alejandro Ádem (UBC), Jong Hae Keum Organizers: David Iron & eodore Kolokolnikov (KIAS) (Dalhousie), Chunhua Ou (Memorial) Algebraic Group Actions and Invariant eory Topological Algebra, Topology, and Functional Analysis Organizers: Eddy Campbell & Juanjun Chuai (Memo- Organizers: Alex Karassev (Nipissing), Gábor Lukács rial), David Wehlau (RMCC & een’s) (Manitoba), Paul Szeptycki (York)
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CAIMS 2009 Second Joint Meeting of the Canadian June 10 – 14, 2009, University of Western Ontario Mathematical Society and the Sociedad Sponsored by the CRM, the Fields Institute, PIMS, MI- Matemática Mexicana 2009 TACS, the University of Western Ontario (Faculty of August 13 – 15, 2009, University of British Columbia Science, Department of Applied Mathematics) Sponsored by the CRM, the Fields Institute, PIMS, MI- TACS, CMS, and SMM Scientific Program Committee Chair: Rob Corless (Western Ontario) Scientific Committee: Organizing Committee: Alejandro Ádem (UBC), Fernando Brambila (SMM Xingfu Zou, chair; Geoff Wild; Ma Davison (Western & UNAM), Walter Craig (McMaster), Isidoro Gitler Ontario) (Cinvestav), Andrew Granville (Montréal), José Seade (UNAM) is meeting was actually the 30th Anniversary An- nual Meeting of CAIMS. e organizers welcomed e meeting organizers had the honour of welcom- nearly 200 participants, from over a dozen countries, ing the following plenary speakers: James Arthur and the program included more than 140 communica- (Toronto), Onésimo Hernández-Lerma (Cinvestav), tions. e meeting featured talks by the following ple- Niky Kamran (McGill), Rachel Kuske (UBC), José Seade nary speakers: Marty Golubitsky (Ohio State & Hous- (UNAM), Alberto Verjovsky (UNAM Cuernavaca). ton), Nick Trefethen (Oxford), Alun Lloyd (NC State), Here is a list of the 10 sessions, along with their orga- Cliff Burgess (Perimeter Inst.), and Peter Forsyth (Uni- nizers. versity of Waterloo). e Cecil Graham Doctoral Dis- sertation Award was awarded to Raluca Eimie and Algebra Colin Macdonald, whose presentations were entitled Organizers: Christof Geiss (UNAM), Arturo Pianzola (respectively) Modeling group formation and activity (Alberta) paerns in self-organizing aggregations and Computing Algebraic Geometry and Singularity eory on surfaces with the closest point method. e presen- Organizers: Ed Bierstone (Toronto), Leticia Bram- tation of Mark Lewis, winner of the CAIMS Research bila (CIMAT), Jacques Hurtubise (McGill), José Seade Prize, was entitled Mathematical challenges in the mod- (UNAM) elling of biological invasions. Analysis e meeting also featured a wide variety of excellent Organizers: Salvador Pérez-Esteva (UNAM), Malabika talks in each of the following six themes (whose orga- Pramanik (UBC) nizers are listed within parentheses): Dynamical Sys- Combinatorics and Graph eory tems (Yuan Yuan and Pei Yu), Scientific/Symbolic Com- Organizers: Hortensia Galeana (UNAM), Luis Goddyn putation (Rob Corless), Mathematical Biology (Chris (Simon Fraser), Miguel Pizaña (UAM Iztapalapa) Bauch and Geoff Wild), Complex Fluids (Colin Dennis- Differential Geometry ton), eoretical Physics (Gerry McKeon), and Math- Organizers: Niky Kamran (McGill), Oscar Palmas ematical Finance (Tony Ware and Adam Metzler). In (UNAM), Adolfo Sanchez Valenzuela (CIMAT) addition the program included minisymposia on Func- tional Differential Equations (Yuming Chen and Qin- Dynamical Systems wen Hu), Nonlinear Analysis and Differential Equa- Organizers: Florin Diacu (Victoria), Renato Iuriaga tions (K. Q. Lan), Mathematical Neuroscience (Sue Ann (CIMAT), Ernesto Pérez-Chavela (UA Madrid) Campbell), Numerical Solutions of PDEs (Ray Spiteri Optimization and Approximation and Paul Muir), Modern ermodynamics (Chris Es- Organizers: Michael Friedlander (UBC), Pedro Gon- sex), and New Directions in Mathematical Modelling zález-Casanova (UNAM), and Luis Verde-Star (UAM of Hydrogen Fuel Cells (Brian Weon), and a spe- Iztapalapa) cial Ph.D. Student Minisymposium on Mathematical Partial Differential Equations Finance (Adam Metzler). Organizers: Monica Clapp (UNAM), Nassif Ghoussoub (UBC), Pablo Padilla (UNAM) Probability Organizers: Ana Meda (UNAM), Ed Perkins (UBC)
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Topology Exact and Approximate Methods for Nonlinear Differen- Organizers: José Luis Cisneros-Molina (UNAM), Ian tial Equations Hambleton (McMaster), Miguel Xicotencatl (Cinves- Organizers: Alexei F. Cheviakov & George W. Patrick tav) (Saskatchewan) Lie Algebras and Representation eory 2009 CMS Winter Meeting Organizers: Nicolas Guay (Alberta), Michael Lau December 5 – 7, 2009, University of Windsor (Windsor) Sponsored by the CRM, the Fields Institute, PIMS, MI- Lie Groups and Automorphic Forms TACS, and the University of Windsor Organizers: Hadi Salmasian (Oawa), Wai Ling Yee Meeting Director: (Windsor) Dan Brien (Windsor) Mathematical Models in Environmental Sciences Chair of the Local Arrangements Committee: Organizer: Rick Caron (Windsor) Ejaz Ahmed (Windsor) Mathematical Statistics Organizers: Jiahua Chen (UBC), Chi Song Wong e organizers had the honour of welcoming the fol- (Windsor) lowing plenary speakers: Jonathan Borwein (ANU), Anthony To-Ming Lau (Alberta), Naomi Leonard Mathematics Education (Princeton), Nancy Reid (Toronto), Christine Shoe- Organizer: Dragana Martinovic (Windsor) maker (Cornell), and David Vogan (MIT). e Adrien Matrix eory and Statistics Pouliot Award was awarded to Walter Whiteley (York) Organizers: Ejaz Ahmed & Abdul Hussein (Windsor) and the Coxeter – James Prize to Patrick Brosnan Measure, Probability, and Stochastic Processes (UBC). e Doctoral Prize was awarded to Mark Organizers: Sévérien Nkurunziza & Tim Traynor Braverman (Toronto) and the G. de B. Robinson Award (Windsor) to Vladimir Manuilov (Moscow State) and Klaus om- Non-Linear Control eory sen (Aarhus). e Graham Wright Award for Distin- Organizers: Andrew Lewis & Abdol-Reza Mansouri guished Service was awarded to Christiane Rousseau (een’s) (Montréal). Number eory Here is a list of the 16 sessions, along with their orga- Organizers: Kevin Hare (Waterloo), Soroosh Yazdani nizers. (McMaster) Banach Algebras and Abstract Harmonic Analysis Operator Algebras Organizers: Zhiguo Hu & Mehdi Monfared (Windsor) Organizers: Mitja Mastnak (Saint Mary’s), Dilian Yang Complex Analysis (Windsor) Organizers: André Boivin & Tatyana Foth (Western Real and Complex Singularities Ontario) Organizer: Janusz A. Adamus (Western Ontario) Convex and Variational Analysis Recent Trends in Discrete Geometry Organizers: Heinz Bauschke & Shawn Wang (UBC Organizers: Károly Bezdek (Calgary), Antoine Deza Okanagan) (McMaster)
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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 Promotion of the mathematical sciences and statistics of the four Montréal universities, the ISM e ISM produces the Accromαth journal and dis- is a consortium of seven ébec universities (Concor- tributes it freely in all the cégeps and secondary dia, Laval, McGill, Montréal, UQÀM, UQTR, and Sher- schools in ébec. In this way, it contributes to brooke), six of which offer a Ph.D. program in mathe- spreading mathematical knowledge among teachers, matics. As an institute to which belong almost all the young students, and the general public. Each year, ISM ébec researchers in the mathematical sciences, the professors give talks aended by thousands of cégep ISM has at its disposal vast material and intellectual students; these talks present the latest breakthroughs resources, and as a result, Montréal and ébec itself in mathematics and the careers available to mathemat- have become one of the main centres of training and ics graduates. research in the mathematical sciences in North Amer- ica. e ISM is funded by the ministère de l’Éducation, As the above list demonstrates, the CRM has several du Loisir et du Sport of ébec and by the seven uni- joint activities with the ISM, in particular two collo- versities in the consortium. quia, a joint program of postdoctoral fellowships, and the planning of graduate courses related to the the- e reader will find below an overview of the activities matic programs of the CRM. Since the summer of 2003, and programs of the ISM. the CRM has also supported the Undergraduate Sum- Coordination and harmonization of mathematical mer Scholarships program, which allows postdoctoral graduate programs fellows to supervise undergraduate students doing re- e ISM was created to bring together the strengths of search. its member departments, in order to turn them into a CRM – ISM Postdoctoral Fellowships great school of mathematics. us the ISM coordinates the graduate studies of the mathematics departments, e CRM – ISM postdoctoral fellowships enable prom- supports the sharing of expertise among its researchers ising young researchers to devote themselves to their and facilitates student mobility between the Montréal research work. e ISM organizes a single competition universities. on behalf of the seven universities of the consortium, Scholarships and financial support and it receives a large number of applications, which e ISM helps students and beginning researchers are then evaluated by the 150 ISM professors. e se- carry out their research activities in several ways, for lection of the fellows is rigorous and only one in forty instance through the ISM Scholarships for Graduate applicants is awarded a fellowship. e applications Studies, the Carl Herz Scholarship (financed by the are handled electronically in order to streamline the se- Carl Herz Foundation), the Travel Bursaries, the Un- lection process and economize the resources consumed dergraduate Summer Scholarships and the CRM – ISM during the selection. e postdoctoral fellows play a postdoctoral fellowships. crucial role in the Montréal universities: they collab- Scientific activities orate with the established researchers, stimulate their Since its creation, the ISM has initiated several activ- work, and bring new ideas from other great centres of ities that are by now an integral part of the ébec mathematical research. Also they are a vital link be- scientific scene: the CRM – ISM Mathematics Col- tween the professors and the students, especially when loquium, the CRM – ISM – GERAD Statistics Collo- they organize on their own study groups on emerging quium, the ISM Graduate Student Conference and the topics. ISM Graduate Student Seminar.
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2009 – 2010 Postdoctoral Fellows holds a master’s degree from the Saint Petersburg State University in Russia and will do a Ph.D. in physics at Mattia Cafasso (Ph.D. 2008, SISSA) is working with Concordia University; the second one to Erwan Biland Marco Bertola (Concordia) in mathematical physics from Paris, who will be cosupervised by a professor and geometry. He gave a lecture on his research re- from Université Laval and a professor from Université sults in October 2009 (within the mathematical physics Paris Diderot. E. Biland’s research topic is in number seminar). theory. Norman Do (Ph.D. 2009, Melbourne) is working with Jacques Hurtubise (McGill) in geometry and topology. Undergraduate Summer Scholarships He was an active member in the geometry and topol- ogy research group during his stay in Montréal and In collaboration with the CRM and the ISM professors, will pursue his postdoctoral studies in Melbourne, with the ISM awards summer scholarships to promising un- financial support from the Australian government. dergraduates who want to do research during the sum- Grégoire Dupont (Ph.D. 2008, Lyon 1) is working in mer and plan to study mathematics at the graduate algebra with Ibrahim Assem, Virginie Charee, and level. ese undergraduates are supervised by post- omas Brüstle at the Université de Sherbrooke. In doctoral fellows, who in general are supervising stu- 2010 he supervised the research of an undergraduate dents for the first time. e reader will find below the student. He gave several lectures within the algebra list of the undergraduate scholars. seminar at Sherbrooke and also a lecture at the Club Ibrahim Al Balushi (Concordia) mathématique de Sherbrooke for undergraduate stu- Scholarship cofinanced by Alina Stancu dents. Supervisor: Nikolay Dimitrov Christian Stump (Ph.D. 2008, Wien) is working Topic: Optical caustics from a differentiable viewpoint in combinatorics and theoretical computer science Duration: 2 months (July – August) with François Bergeron, Christophe Reutenauer, and Marjorie Banville (Montréal) Christophe Hohlweg at UQÀM. During the Winter Scholarship cofinanced by Sabin Lessard 2010 term, he co-organized the weekly seminar for the Supervisor: Amir Kermany combinatorics group at UQÀM. Topic: Using the ancestral selection graph to study ge- Benjamin Young (Ph.D. 2008, UBC) is working with netic variability Jacques Hurtubise (McGill) in mathematical physics. Duration: 4 months (May – August) In 2010, he supervised an undergraduate research fel- Jean-Philippe Burelle (Sherbrooke) low. B. Young will pursue his postdoctoral studies at Scholarship cofinanced by Ibrahim Assem and Virginie MSRI (Berkeley) for a six-month period, before moving Charee to Stockholm in order to work within a research group Supervisor: Grégoire Dupont on random matrices. Topic: antum cluster algebras Duration: 4 months (September – December) ISM Doctoral Fellowships Cyndie Cottrell (McGill) In 2007 – 2008 the ISM initiated a doctoral fellowships Scholarship cofinanced by Jacques Hurtubise program in order to recruit outstanding Ph.D. students. Supervisor: Benjamin Young e doctoral fellowships provide financial support to Topic: Enumerative combinatorics outstanding, new students to pursue a doctoral pro- Duration: 3 months (May – July) gram at one of the ISM member universities. Awarded Maria Eberg (McGill) for a two-year period, and renewable for a further two Scholarship cofinanced by Louigi Addario-Berry years, each scholarship is worth $20,000 per year. e Supervisor: Simon Griffiths students fill an application form online and the appli- Topic: Random Graph models cations are made available to all the ISM professors. In Duration: 11 weeks (June 15 – August 31) 2009 – 2010 the Ph.D. student Sepideh Farsinezhad is Dieter Fishbein (McGill) holding such a fellowhip; she is working in statistics Scholarship cofinanced by Henri Darmon at McGill University. Two fellowships for 2010 – 2011 Supervisor: Bryden Cais were awarded: the first one to Kirill Shmakov, who
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Topic: Rational points on elliptic curves (Laval), Servat Nyandwi (Laval), Bocar Amadou Kane Duration: 11 weeks (May 3 – July 20) (Laval), Patrick Lacasse (Laval), Ibrahima Dionne (La- Robert Gibson (McGill) val), entin Rajon (Laval), and Denis Talbot (Laval). Scholarship cofinanced by Gantumur Tsogtgerel Supervisor: Renato Calleja Promotion of the mathematical sciences Topic: Development of a new geometric discretization scheme for wave maps equations Produced by the ISM and financed by the ISM, the Duration: 2 months (June 16 – August 15) CRM, the MITACS network, and the Canadian Mathe- Jifeng Shen (McGill) matical Society (CMS), the Accromαth magazine aims Scholarship cofinanced by Daniel Wise to draw more young people to the mathematical sci- Supervisor: Nicholas Touikan ences. Accromαth, whose editor-in-chief is André Topic: Geometric group theory Ross, instructor of mathematics at the Cégep Lévis- Duration: 4 months (May – August) Lauzon, is available free of charge in all the high schools and cegeps of ébec. Accromαth is designed ISM Graduate Student Conference by an exceptional team of researchers and instructors with a broad experience in the promotion of mathe- e 12th ISM Graduate Student Conference (Col- matics; it provides high school and cegep teachers with loque panquébécois annuel des étudiants) was held on stimulating and topical articles on the most recent dis- May 28 – 30, 2010, at the Université Laval. About 60 coveries and applications, as well as articles on the his- students from ébec and France aended the confer- tory of mathematics and its links with the arts. ence, which was organized by Jérôme Fortier, Maxime Currently 1,800 persons or institutions (mostly teach- Fortier Bourque, entin Rajon, and Malik Younsi. ers from ébec) subscribe to the magazine. In e plenary lectures were given by Christian Genest June 2009 the magazine was awarded the prix spé- (Laval), Yvan Saint-Aubin (Montréal), Marco Picasso cial de la ministre de l’Éducation, du Loisir et du (EPFL), Michael Yampolsky (Toronto), and François Sport. Renowned throughout the world, Accromαth Watier (UQÀM). was awarded a special mention for the prix d’Alembert, e following students gave talks during the Grad- granted once every two years by the Société mathé- uate Student Conference: Benoît Pouliot (Laval), matique de France (SMF) in order to reward a person Colin Jaufret (Montréal), Daniel Fiorilli (Montréal), or group that has been able to generate interest for Jean-Philippe Labbé (UQÀM), Patrice Rivard (Laval), mathematics within a broad audience. For more infor- Richard Bois (Laval), Hela Romdhani (Laval), François mation on Accromαth, we refer the reader to the site Bolduc (Laval), Tayeb Aïssiou (McGill), Jérôme Fortier accromath.ca.
Other Joint Initiatives
CMS Mathematics Camps Sciences et mathématiques en action and Association québécoise des jeux In order to promote mathematics, the CMS provides mathématiques extracurricular activities for high school students, es- pecially a National Math Camp and Regional Math e CRM contributes to the Sciences et mathématiques Camps. Each year the CMS also offers training camps en action program, created by Professor Jean-Marie for the Canadian Team selected for competing at De Koninck from Université Laval in order to popular- the International Mathematical Olympiad. e CRM ize mathematics and science for high school students sponsors these camps, along with the Fields Insti- and the general public. We refer the reader to the site tute, PIMS, the Association mathématique du é- smac.ulaval.ca for more information. e CRM also bec, PromoScience (NSERC), the host universities, var- supports the Association québécoise des jeux mathé- ious foundations, and most Canadian provinces (cf. matiques (aqjm.fsg.ulaval.ca). cms.math.ca/MathCamps/).
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2009 – 2010 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 the Laboratory. In 2009, Eliot Fried was made the Tier 1 Canada Research Chair in Interfacial and De- e CRM Applied Mathematics Laboratory is a re- fect Mechanics, and Jacques Bélair became president search network of some 19 applied mathematicians, of the Canadian Applied and Industrial Mathematics engineers, computer scientists, and chemists, based in Society, a post that he will hold until 2011. In addition Montréal. e Laboratory exists primarily to stimulate to the appearance in print of numerous articles in ref- research and collaboration in the applied mathematical ereed international journals and conference proceed- research areas of its members by fostering discussion ings, book chapters, manuals, and technical reports by and the creation of ideas through conferences, work- laboratory members over the last year, the publication shops, and seminars, and the furtherance of research in 2009 by Cambridge University Press of e Mechan- through its visitors program and the appointment of ics and ermodynamics of Continua (wrien by Eliot talented postdoctoral fellows. e Laboratory is also Fried, Morton Gurtin from Carnegie Mellon, and Lallit very concerned with the training of young researchers Anand from MIT) is worthy of a special mention. and supports travel and conference aendance of its Members of the laboratory were also very active on postdoctoral fellows. the international and Canadian applied mathematical e research interests of the Laboratory members are scenes in 2009 – 2010. Below is a highlight of just some quite diverse although there are a number of com- of the invited conference talks given by members dur- mon threads that make interchange and collaboration ing this period. Jacques Bélair was a keynote speaker both possible and fruitful. Active areas of research at the meeting of the Société Francophone de Biolo- represented within the Laboratory include, for exam- gie éorique that took place in Belvédère, Tunisia ple, the application of dynamical systems theory to (June 17 – 19, 2010). He has also given invited talks complex phenomena, high-dimensional chaos, and bi- at the CAIMS meeting in London, Ontario in 2009 and ology. ere is an interest in numerical linear alge- will give an invited talk at the 2010 CAIMS meeting bra and its applications, including the design, analysis, in St. John’s, Newfoundland. Eusebius Doedel deliv- and implementation of effective computer algorithms. ered two mini-symposium talks at the SIAM Confer- Amongst the membership one will also find expertise ence on Emerging Topics in Dynamical Systems and in numerical simulation, applied dynamical systems, Partial Differential Equations in Barcelona (June 2010) quantum chemistry, turbulence, combustion, biome- and spoke in a special session on Recent Advances on chanics, numerical methods in fluid mechanics and Bifurcation Problems at the 8th AIMS Conference on electromagnetism, hp-finite element methods, molec- Dynamical Systems, Differential Equations and Appli- ular dynamics, control, optimization, preconditioners, cations in Dresden, Germany (May 2010). and large-scale eigenvalue problems. Tucker Carrington spoke on Ro-vibrational spec- News and highlights troscopy of Van der Waals molecules at both the 93rd Canadian Chemistry Conference and Exhibition, Firstly, we are very pleased to announce that two new Toronto (May 2010) and the International Symposium members will soon join the laboratory, following the on Molecular Spectroscopy, 65th Meeting (June 2010). successful appointment of Rustum Choksi and Jean- In February 2010 he also gave an invited talk at the Christophe Nave to faculty positions in the Mathemat- 26th GAMM-Seminar Leipzig on Tensor Approxima- ics Department of McGill University. We congratulate tions and High-Dimensional Problems (Leipzig). In them on their success and look forward to collaborat- 2009 Professor Carrington was invited to speak at the ing with them actively in the years to come. e year following meetings: Seventh International Conference 2009 – 2010 has been a most fruitful one for members of Computational Methods in Sciences and Engineer- ing, Rhodes (October 2009); Workshop on Coping with
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Complexity: Model Reduction and Data Analysis, Am- toral fellowship under the guidance of Robert Owens, bleside, UK (September 2009); Workshop on Linear and in January 2010, El Miloud Zaoui was appointed and Nonlinear Eigenproblems for PDEs, Mathemati- to work with André Bandrauk and Emmanuel Lorin sches Forschungsinstitut Oberwolfach, Germany (Au- de la Grandmaison for a period of one year. Brian gust 2009); Workshop on antum Dynamic Imaging, Seguin will come to Montréal through a joint funding at the Centre de recherches mathématiques, Montréal arrangement between the Applied Mathematics Labo- (October 2009); and the Seventh Canadian Computa- ratory and Eliot Fried, bringing the number of post- tional Chemistry Conference, held in Halifax, Nova doctoral fellows supported by the Laboratory at the Scotia (July 2009). present time up to four. Eliot Fried spoke at the workshop on Small-scale Hy- In 2009 – 2010 members of the Applied Mathematics drodynamics: Microfluidics and in Films at the Banff Laboratory supervised or cosupervised 16 M.Sc. stu- International Research Station for Mathematical Inno- dents, 38 Ph.D. students, and 12 postdoctoral fellows. vation and Discovery (February 2010). In 2009 he was invited to speak at Cosserat + 100, an International Seminars Conference on the legacy of éorie des corps défor- mables by Eugène and François Cosserat in the cen- e scientific and social life of the Laboratory centers tenary of its publication (Paris, July 15 – 17, 2009). In on the weekly seminar. is is not only an opportu- the same month he also spoke at the 4th International nity for applied mathematicians in Montréal (and fur- Symposium on Defect and Material Mechanics, held at ther afield) to hear talks given by experts in their fields the University of Trento. Robert Owens was one of from leading academic institutions across the world, the invited speakers at the IMA Annual Program Year but also an opportunity for Laboratory members to col- Workshop entitled Flowing Complex Fluids: Rheologi- laborate and have detailed discussions with the speak- cal Measurements and Constitutive Modeling, held at the ers (thanks to the availability of lab funding allowing University of Minnesota in September 2009. We con- speakers to extend their visit to our city). Over the past clude by mentioning visiting positions held by mem- academic year no fewer than 32 visitors have given bers during 2009 – 2010: Tucker Carrington was a Vis- talks in the seminar series, drawn from countries in iting Professor at the ETH Zürich from June to July North America, South America, Europe, and Asia. We 2009 and Robert Owens was professeur invité at the Ins- consider ourselves very fortunate indeed to be able to titut de Mathématiques, Université Paul Sabatier, from welcome these colleagues to our city and have learnt May 11 to June 8, 2009. much from the experience. Our sincere thanks go to Eliot Fried and Gantumur Tsogtgerel for their organi- Students, postdoctoral fellows, and visitors zation of the seminar series in the autumn and winter semesters, respectively. In addition to the significant financial resources made available by the Applied Mathematics Laboratory for Workshops, special sessions, and others the partial support of workshops and conferences, we have been very enthusiastic supporters of postdoctoral e Laboratory has a tradition of directing a substan- researchers in applied mathematics. is has been pos- tial proportion of its annual budget to the support of sible because of the great prudence shown over the last conferences and workshops organized by its members. few years in the management of the resources at our is year has proved to be no exception and some disposal, and the support of postdoctoral researchers $20,000 were made available to the organizers of the is viewed as essential “stimulus spending” for the con- workshop mentioned below (and described in Section tinued vitality of high-level applied mathematics re- Multidisciplinary and Industrial Program, p. 36) and a search in Montréal. Claude Mangoubi (Hebrew Uni- workshop that took place in July 2010 (to be described versity of Jerusalem) worked with Robert Owens for in the CRM annual report for 2010 – 2011). the first six months of 2009, and during the summer of Analysis of Multiphase Biomembranes 2009 Tony Humphries and Eusebius Doedel welcomed April 24 – 26, 2010, McGill University Renato Calleja to Montréal to work with them for a pe- Organizer: Eliot Fried (McGill) riod of two years. In October 2009, Mounir Bennoune arrived from Toulouse to begin a one-year postdoc-
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Members of the laboratory Gantumur Tsogtgerel (McGill) Applied mathematics, partial differential equations, Regular members general relativity Robert G. Owens (Montréal) director Lennaert van Veen (Concordia) Mechanics, numerical simulation of complex fluids Application of dynamical systems theory to complex Paul Arminjon (Montréal) phenomena and high-dimensional chaos Numerical methods in fluid mechanics Jian-Jun Xu (McGill) André D. Bandrauk (Sherbrooke) Asymptotics and numerical analysis, nonlinear PDEs, antum chemistry materials science Peter Bartello (McGill) Associate Members Turbulence, CFD Tucker Carrington (een’s) Jacques Bélair (Montréal) Chemical dynamics Dynamical systems in physiology Martin J. Gander (Genève) Anne Bourlioux (Montréal) Domain decomposition, preconditioning Modelling, numerical simulation in turbulent combus- tion Nilima Nigam (Simon Fraser) Applied analysis, numerical methods in electromag- Xiao-Wen Chang (McGill) netism Numerical linear algebra and applications Paul F. Tupper (Simon Fraser) Eusebius J. Doedel (Concordia) Numerical analysis, stochastic processes, statistical Numerical analysis, dynamical systems, differential mechanics equations, bifurcation theory, scientific soware omas P. Wihler (Bern) Eliot Fried (McGill) Numerical analysis, computational methods for PDEs Mechanics and thermodynamics of continuous media Jean-Paul Zolésio (INRIA Sophia Antipolis) Antony R. Humphries (McGill) Control, optimization Numerical analysis, differential equations Sherwin A. Maslowe (McGill) Asymptotic methods, fluid mechanics
CICMA
Description is well represented in CICMA with Andrew Granville, a leader in his field, who brings to the laboratory an ex- CICMA brings together researchers working in num- pertise in many aspects of analytic number theory. On ber theory, group theory, and algebraic geometry. the group theory side, Kharlampovich and Miasnikov Contemporary number theory follows two major are world-renowned specialists of group varieties and trends. On one hand, there is the theory of special val- McKay is one of the instigators of the moonshine pro- ues of L-functions aached to arithmetic objects, orig- gram. inating in the work of Gauss and Dirichlet and leading to the modern conjectures of Deligne, Beilinson, and News and highlights Bloch – Kato. Also the Langlands program postulates a close link between arithmetic L-functions and auto- is year we were most pleased to welcome several morphic representations. new, young members to CICMA: Matilde Lalín (Uni- An area where these two currents intersect is the study versité de Montréal), Heekyoung Hahn (McGill Uni- of elliptic curves. is area is particularly well rep- versity), Jayce Getz (McGill University), and Hugo resented in the laboratory with Darmon, Iovita, and Chapdelaine (Université Laval). Much of the labora- Kisilevsky. On the other hand, analytic number theory tory’s energies were directed towards the organization of the CRM’s thematic semester on Number eory
64 R L as an Experimental and Applied Science, which was a Organizers: Xander Faber (McGill), Patrick Ingram great success. Two of our members, Chantal David and (Waterloo) Andrew Granville, were invited to participate in a spe- cial year organized by the Institute for Advanced Study Regular members of the laboratory at Princeton on analytic number theory, so that their Henri Darmon (McGill), director time was shared between Princeton and Montréal. Algebraic number theory, arithmetic geometry, L-functions, Diophantine equations, elliptic curves Students and postdoctoral fellows Hugo Chapdelaine (Laval) Our three finishing postdoctoral fellows are all moving Algebraic number theory, algebraic geometry on to good positions. Xander Faber, who was funded Chris Cummins (Concordia) by an NSF Fellowship, will continue his postdoctoral Group theory, modular functions, moonshine studies at the University of Georgia. Bryden Cais has Chantal David (Concordia) received two tenure-track offers, one from the Univer- Analytic number theory, L-functions sity of Arizona and another from McMaster University. Jean-Marie De Koninck (Laval) JeeHoon Park has been offered a permanent position at Analytic number theory: distribution of prime num- POSTECH (South Korea). bers, factorization of numbers, asymptotic behaviour In 2009 – 2010 members of CICMA supervised or co- of arithmetic functions, Riemann zeta function supervised 23 M.Sc. students, 52 Ph.D. students, and 9 David S. Dummit (Vermont) postdoctoral fellows. Algebraic number theory, arithmetic algebraic geome- try, computational mathematics Seminars David Ford (Concordia) e ébec – Vermont Number eory Seminar, Computational number theory, algorithmic number CICMA’s main scientific activity, is held every sec- theory ond ursday for a full day and is aended by about Jayce Robert Getz (McGill) 30 participants from Montréal, Vermont, ébec City, Number theory and Oawa. In 2009 – 2010, John Voight and Xander Eyal Z. Goren (McGill) Faber were the organizers of the seminar, which in- Arithmetic geometry, algebraic number theory, mod- cluded 32 lectures. uli spaces of abelian varieties, Hilbert modular forms, p-adic modular forms Workshops, special sessions, and others Andrew Granville (Montréal) CICMA was deeply involved in the organization of the Analytic number theory, arithmetic geometry, combi- CRM’s thematic semester on Number eory as Ex- natorics perimental and Applied Science (January – April 2010), Heekyoung Hahn (McGill) with three members on the organizing commiee: Eisenstein series, L-functions, trace formula, q-series, Henri Darmon, Andrew Granville, and Eyal Goren. theta functions and partitions e Semester included a preparatory Summer School Adrian Iovita (Concordia) on Automorphic Forms and L-functions: Computation- Number theory, p-adic cohomology al Aspects (held in 2009), five workshops, and three Olga Kharlampovich (McGill) courses. Akshay Venkatesh (Stanford), the Aisenstadt Combinatorial group theory and Lie algebras Chair, gave a series of lectures. We refer the reader Hershy Kisilevsky (Concordia) to the section of this report on the thematic program L-functions, Iwasawa theory, elliptic curves, class field for more information on the semester, and to the Sec- theory tion General Program (p. 28) for a description of the following workshop. John Labute (McGill) Pro-p-groups, Lie algebras, Galois theory e Bellairs Workshop in Number eory Matilde Lalín (Montréal) Moduli Spaces and the Arithmetic of Dynamical Systems Mahler measures, L-functions, zeta functions May 2 – 9, 2010, Bellairs Research Institute
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Claude Levesque (Laval) M. Ram Murty (een’s) Algebraic number theory, units, class number, cyclo- Number theory: Artin’s conjecture, elliptic curves, tomic fields modular forms, automorphic forms, Langlands pro- Michael Makkai (McGill) gram, Selberg’s conjectures, sieve methods, cryptog- Mathematical logic raphy John McKay (Concordia) Damien Roy (Oawa) Computational group theory, sporadic groups, compu- Transcendental number theory tation of Galois groups Peter Russell (McGill) Alexei G. Miasnikov (McGill) Algebraic geometry Group theory Francisco aine (Concordia) Cyclotomic fields, cyclotomy, rational points on curves
CIRGET
Description to the group, bringing in a talented young researcher, as well as additional research and infrastructure funds. Geometry and topology are fundamental disciplines Former CIRGET doctoral student Liam Watson was of mathematics whose richness and vitality, evident awarded the 2009 Carl Herz Prize for his work in low- throughout human history, reflect a deep link to our dimensional topology, particularly knot homologies experience of the universe. ey are a focal point of and their relations to the topology of 3-manifolds and modern mathematics and indeed several domains of Heegaard – Floer theory. He also received a Governor mathematics have recently shown a strong trend to- General award for his doctoral thesis. wards a geometrization of ideas and methods: two cases in point are mathematical physics and number Students, postdoctoral fellows, and visitors theory. CIRGET, based at UQÀM, is composed of fieen full Graduate students and postdoctoral fellows are an in- members, three associate members, and a large num- tegral part of CIRGET scientific life, organizing work- ber of postdoctoral fellows and graduate students ing groups and seminars, mentoring undergraduate working in this broad field. e main themes to be students, and occasionally giving specialized courses. pursued in the coming years include the topological In 2009 – 2010, CIRGET members supervised or cosu- classification of 3-dimensional manifolds; quantiza- pervised 22 postdoctoral fellows, 28 Ph.D. students, tion of Hitchin systems and the geometric Langlands and 24 M.Sc. students. In addition, CIRGET mem- program; classification of special Kähler metrics; the bers supervised 11 summer research students in 2010, study of symplectic invariants, especially in dimension including one from the École normale supérieure de 4; nonlinear partial differential equations in Rieman- Lyon and another from the École normale supérieure nian geometry, convex geometry, and general relativ- de Cachan. ity; and Hamiltonian dynamical systems. e fields Most of our postdoctoral fellows and students are con- of algebraic geometry (in which Steven Lu and Peter tinuing on next year, but those who have completed Russell are working) and geometric group theory (in their stays at CIRGET are moving on to good positions: which Daniel Wise is working) are also represented at Nicholas Touikan will be continuing his NSERC PDF CIRGET. in Oxford as of November 2010; Norman Do will be working in Melbourne, funded by a three-year Aus- News and highlights tralian government postdoctoral fellowship; and Ben- jamin Young will be spending six months at the MSRI CIRGET is currently recruiting a Tier II Canada Re- before moving on to Stockholm to join the random ma- search Chair to be based at UQÀM. e new position trices group there. Graduating doctoral student Éve- should officially begin in January 2012. e Chair will line Legendre will be holding her NSERC Postdoctoral be a great boostvadjust Fellowship at the Instituto Superior Técnico in Lisbon;
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Mehdi Lejmi has been awarded an FQRNT Postdoc- Workshops, special sessions, and others toral Fellowship and has accepted a postdoctoral posi- tion at Vanderbilt University; Tony Reiser has accepted CIRGET organized three workshops (listed below) in a position at Technion in Haifa; and Michael Wong will Montréal this year. e reader may find the descrip- be working at the Tata Institute of Fundamental Re- tions of the first two workshops in the Section General search in India. Program (p. 28). CIRGET members greatly benefit from the many in- Topics in Riemannian and Poisson Geometry ternational visitors who come to work with them. In April 8-9, 2010, UQÀM addition to the 29 short-term visitors who came over Organizers: Marco Gualtieri (Toronto), Jacques Hur- the 2009 – 2010 year, Silvia Anjos (Instituto Superior tubise (McGill), Ruxandra Moraru (Waterloo) Técnico), Michel Boileau (Université de Toulouse), and Virtual Properties of 3-Manifolds Paul Gauduchon (École Polytechnique) each stayed at April 19 – 23, 2010, UQÀM CIRGET for several weeks to collaborate with mem- Organizers: Ian Agol (UC Berkeley), Steven Boyer bers. (UQÀM) Seminars CIRGET Reunion — 13th Anniversary May 10 – 12, 2010, UQÀM In 2009 – 2010, CIRGET invited and funded two collo- Organizers: CIRGET members quium speakers for the CRM – ISM mathematics col- Speakers: Stefan Friedl (Warwick), David Gay (Eu- loquium lecture series: Shing-Tung Yau (Harvard Uni- clid Lab), Paolo Ghiggini (Nantes), Joseph Maher (CSI- versity) and Nigel Hitchin (University of Oxford). Each CUNY), Genevieve Walsh (Tus), Silvia Anjos (IST), speaker aracted about 100 participants. Rémi Leclercq (Montréal), Martin Pinsonnault (West- ern Ontario), Tony Rieser (Montréal), Diego Matessi CIRGET’s everyday scientific life revolves around its (Amedo Avogadro), Erwan Rousseau (Strasbourg), weekly seminars and working groups where profes- Dimiter Vassilev (New Mexico) sors, postdoctoral fellows, and students meet on a reg- ular basis. e CIRGET Geometry and Topology Sem- is 3-day workshop brought together former CIRGET inar, organized by Vestislav Apostolov, is a general students and postdoctoral fellows who presented their seminar series aended by all CIRGET members. Of current research. Each day was organized around one the 23 talks given this year, 16 were given by invited of three central themes: low-dimensional topology, speakers who stayed at the Centre for short research symplectic topology, and differential geometry. visits. e Algebraic Geometry Seminar, organized by Steven Lu, Peter Russell, Karol Palka, and Jacques Hur- Members of the laboratory tubise, hosted 21 talks, with 13 speakers coming from outside of Montréal. CIRGET graduate students from Regular members UQÀM, Montréal, and McGill continued to participate Vestislav Apostolov (UQÀM), director in the CIRGET Junior Seminar, organized by doctoral Complex geometry, Kähler geometry student Radu Cebanu. is seminar gives graduate stu- Steven Boyer (UQÀM) dents a forum to present their research to their peers. Topology of manifolds, low-dimensional geometry and A total of 20 talks were given this year. topology CIRGET working groups meet on a regular basis to ex- Abraham Broer (Montréal) plore specific topics over a period of several months or Algebraic transformation groups, invariant theory more. is year two working groups were organized, Virginie Charette (Sherbrooke) one by postdoctoral fellow Andrea Gambioli on Käh- Discrete group actions on affine varieties, Lorentz lerian geometry, and another by Steven Boyer on low- manifolds, Riemann surfaces discretization, discrete dimensional topology. differential geometry Olivier Collin (UQÀM) Invariants of knots and 3-manifolds arising from global analysis
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Octavian Cornea (Montréal) Algebraic topology, Iosif Polterovich (Montréal) dynamical systems Geometric analysis, spectral theory, functional analy- Pengfei Guan (McGill) Partial differential equations, sis, differential geometry, partial differential equations geometric analysis, several complex variables Peter Russell (McGill) Jacques Hurtubise (McGill) Algebraic geometry Algebraic geometry, integrable systems, gauge theory, Daniel T. Wise (McGill) moduli spaces Geometric group theory, low-dimensional topology André Joyal (UQÀM) Algebraic topology, category theory Associate members Niky Kamran (McGill) Syed Twareque Ali (Concordia) Geometric approach to partial differential equations Coherent states, wavelets, quantization techniques, François Lalonde (Montréal) harmonic analysis, Wigner functions Symplectic topology and geometry, global analysis on John Harnad (Concordia) manifolds, infinite dimensional transformation groups Mathematical physics, classical and quantum physics, Steven Lu (UQÀM) geometrical methods, integrable systems, group theo- Chern number inequalities, semi-stability of tensorial retical methods, random matrices, isomonodromic de- sheaves, log jets, log and hyperbolic geometry, alge- formations, isospectral flows braic degeneracy John A. Toth (McGill) Microlocal analysis, partial differential equations
GIREF Description News and highlights
GIREF is an acronym for Groupe Interdisciplinaire de In 2009, the Research Chair’s activities in scientific Recherche en Éléments Finis, which can be translated computing intensified. e development of MEF++ — into English as “Interdisciplinary Research Group in a cuing-edge finite element soware to be used by Finite Element Methods.” e members of this in- several GIREF members — continued, particularly in teruniversity group are interested in numerical meth- the field of large deformation modelling, thanks to the ods, particularly in finite element, finite difference, and ongoing efforts of our professional researchers, Éric finite volume methods. e research questions con- Chamberland, Cristian Tibirna, and Jean Deteix, as sidered range from pure research issues to industrial well as Michelin’s engineers at the Ladoux Laboratory problems. e some 26 member researchers reflect near Clermont-Ferrand. the interdisciplinary nature of the Laboratory and are Research developments with our industrial partners based at Université Laval, the École Polytechnique de also lead to applications of a more fundamental nature, Montréal, as well as the Université de Moncton, Uni- such as the simulation of electric wave-propagation in versity of Oawa, and University of Alberta. the human heart in the biomedical field. Indeed, the e Laboratory’s activities involve several industrial interaction between industrial applications and more partnerships, such as the NSERC Research Chair’s col- fundamental developments is most fruitful. e joint laboration with tire manufacturer Michelin and joint development of MEF++ gives students access to high- research activities with FPInnovations to model the performance soware with both academic and indus- drying and deformation of wood-based composite ma- trial characteristics. e upgrading of the computers terials. e collaboration of GIREF with the Industrial in the GIREF Laboratory as well as the installation of a Materials Institute also continued in the field of poly- new supercomputer for the CLUMEQ network provide mers. students with extremely sophisticated state-of-the-art equipment. Here is a list of the projects currently pur- sued at GIREF; the reader will find more details on the
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GIREF web site (giref.ulaval.ca). e names of in- modelling of cryosurgery, numerical modelling of the vestigators are given within parentheses. electromechanical wave in the heart • ACE project (A. Garon, principal investigator, Pierre Blanchet (FPInnovations) M. Delfour, A. Fortin, Y. Bourgault) Nanotechnology for wood products • Furniture design through the finite element method Yves Bourgault (Oawa) (A. Cloutier, R. Beauregard, A. Fortin, J. Deteix) Computational fluid dynamics, numerical methods, fi- nite elements method, mathematical modelling, me- • MEF++ project (A. Fortin, É. Chamberland, J. Urqui- chanics of continuous media za, C. Tibirna, J. Deteix) Alain Charbonneau (UQO) • Modelling of wood-based floor board behaviour Numerical simulation of optical wave guides, finite ele- (A. Cloutier, P. Blanchet, A. Fortin, J. Deteix) ments method, numerical methods, statistical machine • Modelling contact when large deformations occur translation, automated text categorization (A. Fortin, M. Fortin, É. Chamberland, R. Guénee, Marie-Laure Dano (Laval) C. Tibirna) Mechanics and production of composite materials, in- • Modelling of the self-reduction process observed in telligent mechanical systems the growth of scallops (J. Urquiza, M. Fréchee, Michel C. Delfour (Montréal) G. Daigle) Control, optimization, design, shells, calculus, biome- • Modelling of the hot-pressing of wood panels chanics (A. Fortin, A. Cloutier, J. Deteix) Marie-Isabelle Farinas (UQÀC) Modelling, numerical simulation, computational fluid Students, postdoctoral researchers, and mechanics, design of turbo engines (cardiac pump), op- visitors timization Training highly qualified personnel is at the core of our Michel Fortin (Laval) mission. In 2009 – 2010 two postdoctoral fellows, 23 Numerical analysis of partial differential equations, Ph.D. students, and 15 master’s students carried out re- numerical methods in fluid mechanics, optimization search at GIREF. Two students working at GIREF ob- and optimal control for partial differential equations tained their master’s degree and 8 students obtained Vincent François (UQTR) their Ph.D. Integration of the finite elements method into computer-aided design Seminars Guy Gendron (Laval) Composite materials, optimization and modelling of In 2009 – 2010 GIREF’s seminar included 6 talks. structures Members of the laboratory Robert Guénette (Laval) Numerical methods in non-Newtonian fluid mechan- Regular members ics, rheological models, Hamiltonian formulation Hassan Manouzi (Laval) André Fortin (Laval), director Numerical analysis, applications of mathematics to en- Finite elements method, instationary viscous flows, gineering mixing problems Dominique Pelletier (Polytechnique Montréal) André Garon (Polytechnique Montréal), deputy di- Fluid mechanics and heat transfer, finite elements rector method, adaptive finite elements methods for com- ermohydraulics, fluid mechanics, finite elements pressible and incompressible flows, modelling and sim- method, hydraulic turbines, mechanics of biofluids: ulation of laminar and turbulent viscous flows, mod- stents and pumps elling and simulation of fluid-structure interactions Youssef Belhamadia (Alberta) Roger Pierre (Laval) Mathematical modelling and numerical simulation of Numerical analysis of partial differential equations phase change problems, adaptive meshing for insta- tionary problems in 2 and 3 dimensions, numerical
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Jean-Loup Robert (Laval) Claire Deschênes (Laval) Numerical models of free surface flows, transport and Axial hydraulic turbines diffusion models with stochastic components, unified Guy Dumas (Laval) modelling in a saturated and aerated environment Mechanical engineering, physics of fluids Yves Secretan (INRS-ETE) Mohamed Farhloul (Moncton) Numerical methods for finite elements, mesh genera- Finite elements and finite volumes method, partial dif- tion and adaptation, error estimation, hydrodynamics ferential equations, applications of the mixed finite el- in 2 dimensions, advection-diffusion phenomena ements method to fluid mechanics, numerical analysis René errien (Laval) Yves Fortin (Laval) Underground water flows, hydrology, geothermics Forestry, forest engineering José Urquiza (Laval) Jean-François Hétu (NRC-IMI) Numerical analysis, control of partial differential equa- Numerical modelling of processes tions
Associate members Alain Cloutier (Laval) Forestry, forest engineering
INTRIQ
Description creasing miniaturization of our electronic components will result in information not being processed by bil- e INstitute for Transdisciplinary Research In an- lions of electrons at a time but only a small number. tum computing (INTRIQ) brings together researchers is implies that the quantum nature of devices will in quantum information processing coming from become more and more important. e same is true of physics, computer science, and engineering. e Insti- magnetic memories, which might ultimately be based tute has 23 members from McGill University, Univer- on single spins. Hence it is no longer unreasonable to sité de Montréal, the École Polytechnique de Montréal think that parts of our information support will soon and the Université de Sherbrooke. antum informa- be of a quantum nature. tion is the generalization of the classical notion of in- formation, obtained by including the most fundamen- News and highlights tal law of physics, i.e., quantum mechanics. Indeed, classical information can be derived from quantum in- e year 2009 – 2010 was excellent for INTRIQ. Firstly, formation when decoherence is present. Until now, the Université de Sherbrooke obtained a Canada Ex- in most fields related to information, quantum effects cellence Research Chair in antum Signal Processing have oen been neglected. For instance, when infor- and we are now very pleased to welcome Chairholder mation is transmied through optical fibers, the trans- Bertrand Reulet as one of our members. Gilles Bras- mied information is classical because the number of sard won the Gerhard Herzberg Canada Gold Medal photons used to transmit this information is so large for Science and Engineering and Alexandre Blais was that quantum effects barely enter the picture and can awarded the NSERC E. W. R. Steacie Memorial Fellow- easily be neglected. However, thanks to the impressive ship. Also, doctoral student Olivier Landon-Cardinal recent advances in the development of optical commu- was awarded a Vanier Canada Graduate Scholarship. nication and fiber technologies, it has become possi- In June 2010, Alain Tapp was appointed as the new di- ble to send single photons, so that an understanding at rector of INTRIQ. the quantum level becomes necessary. In fact, nowa- days, commercial devices can be acquired that transmit quantum information (for example, id antique and MagiQ). A very similar paern is starting to emerge in the field of information processing, where the in-
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Students and postdoctoral researchers Université de Montréal
INTRIQ members supervised or cosupervised 7 post- Michel Boyer (Computer Science) doctoral fellows, 39 Ph.D. students, and 32 M.Sc. stu- Gilles Brassard (Computer Science) dents in 2009 – 2010. Richard Mackenzie (Physics) Louis Salvail (Computer Science) Workshops, special sessions, and others Alain Tapp (Computer Science)
is year, two biannual meetings were held: the first École Polytechnique de Montréal in Saint-Sauveur in June, organized by Alain Tapp and José Fernandez (Computer engineering) Nicolas Godbout, and the second in Sherbrooke, or- Nicolas Godbout (Engineering physics) ganized by Alexandre Blais. INTRIQ also created a Suzanne Lacroix (Engineering physics) special annual conference in January for students and postdoctoral fellows. is year the INTRIQ Student Conference was organized by Olivier Landon-Cardinal Université de Sherbrooke and held at Suon. We believe that the event was very Alexandre Blais (Physics) useful for the students, as it helped them both to get Patrick Fournier (Physics) beer acquainted with one another and to gain expe- David Poulin (Physics) rience giving talks in a less stressful context. It was a Michel Pioro-Ladrière (Physics) successful experiment that shall be repeated in early 2011, in addition to the biannual meetings. In June McGill University 2010, INTRIQ was involved from the financial and or- ganizational points of view (Alain Tapp being the main David Avis (Computer Science) organizer) with the CRM’s SMS Summer School, spon- Aashish Clerk (Physics) sored by NATO. e SMS was a great success, thanks Claude Crépeau (Computer Science) to the 14 outstanding speakers and the more than 60 Guillaume Gervais (Physics) participants from around the world. Peter Grütter (Physics) Hong Guo (Physics) Members of the laboratory Patrick Hayden (Computer Science) Michael Hilke (Physics), director antum information brings together many different Zetian Mi (Electrical Engineering) fields, including computer science, engineering, and Prakash Panangaden (Computer Science) physics, which are all represented in INTRIQ. Here is omas Szkopek (Electrical Engineering) a list of members, by university.
LaCIM
Description maticians visit LaCIM and collaborate with its mem- bers in the following areas: enumerative and bijec- LaCIM (French acronym meaning “Combinatorics and tive combinatorics, theory of species, algebraic com- Mathematical Computer Science Laboratory”) is home binatorics, combinatorics of finite and infinite words, to mathematics and theoretical computer science re- discrete geometry, theory of languages and automata, searchers whose interests comprise discrete mathe- Gray codes, bioinformatics, and combinatorial opti- matics and the mathematical aspects of computer sci- mization. ence. Founded in 1989, LaCIM includes 16 regular members, 5 associate members, and 14 collaborating News and highlights members. It welcomes postdoctoral fellows and its reg- ular members supervise or cosupervise many M.Sc. or LaCIM welcomed three new members this year from Ph.D. students, as well as undergraduate and cegep the Université de Sherbrooke: Ibrahim Assem, omas summer research students. Many renowned mathe- Brüstle, and Shiping Liu. is recent collaboration with Sherbrooke has resulted concretely in the cre-
71 C ation of a new research team funded by FQRNT and Workshops, special sessions, and others including F. Bergeron, C. Reutenauer, I. Assem, and D. Smith. Also Alessandro de Luca joined the Labo- e 15th Discrete Geometry for Computer Imagery ratory this year as a postdoctoral fellow. (DGCI) international conference was held in Montréal (September 30 – October 2, 2009) and featured three in- One of our former graduates, Xavier Provençal (Ph.D., vited speakers: Valérie Berthé (LIRMM, Montpellier), 2008) was offered a position at the Laboratoire de Ma- Anders Kock (Professor Emeritus, Aahrus, Denmark), thématiques of the Université de Savoie in Chambéry and Pierre Gauthier (Université du ébec à Mont- (France), strengthening our international collabora- réal). Berthé gave a precise overview of discrete planes tion with CNRS laboratories in France. Aaron Lauve from the point of view of the combinatorics of words, (postdoctoral fellow in 2008) was offered a position at in relation to number theory (in particular multidimen- Loyola University Chicago. Alexandre Blondin Massé sional continued fractions). Kock presented the rudi- and Sébastien Labbé were both awarded a Frontenac ments of synthetic differential geometry, whose inter- Scholarship for joint France – ébec thesis supervi- est resides in the fact that classical differential calculus sion, and spent the year in Chambéry and Montpellier, can be brought to the level of algebraic geometry if we respectively. add infinitesimals to the affine line; infinitesimals are At the international level, Srečko Brlek submied a nilpotent elements in this case, and differ from those formal application to INMI (the CNRS mathematics in- found in non-standard analysis. In this promising ap- stitute) and INS2I (the CNRS computer science insti- proach discrete differential geometry is viewed from tute), in order to create a Laboratoire International As- a new angle, and the talk spawned much discussion. socié (LIA). is application was submied jointly with Gauthier, a specialist in mathematical climate mod- Serge Dulucq. He also took part in an application to elling, gave an overview of methods developed from create an Unité Mixte Internationale (UMI) of CNRS at fluid dynamics using Navier – Stokes equations. e the CRM; the application was prepared in collabora- high scientific value of this conference caught the at- tion with Odile Marcoe. tention of journal editors, and two special issues will be published presenting the best articles in eoretical Students, postdoctoral fellows, and visitors Computer Science and Paern Recognition Leers, re- spectively. ree doctoral students successfully defended their theses this year: Mohamed Abdo (supervisor: Several LaCIM members were very active organizing T. Walsh), Farid Chekkal (supervisor: C. Reutenauer), scientific events for the CIRM (Marseille, Luminy) the- and Jean-Philippe Doyon (supervisors: C. Chauve, matic semester Math-Info 2010: Towards new interac- S. Hamel, H. Philippe). Doyon is currently a post- tions between mathematics and computer science, no- doctoral fellow at the Laboratoire d’Informatique, de tably Srečko Brlek, as member of the scientific com- Robotique et de Microélectronique de Montpellier miee, several students (A. Blondin Massé, A. Garon, (LIRMM). In 2009 – 2010 LaCIM members supervised S. Labbé, M. Robado), and former students who are or cosupervised 24 M.Sc. students, 35 Ph.D. students, now postdoctoral fellows (X. Provençal, A. Lacasse, and 9 postdoctoral fellows. G. Paquin). Franco Saliola (hired as a professor at the Université du ébec à Montréal on June 1, 2010) Seminars led the seminar SAGE Days, held on February 22 – 27, 2010, and Srečko Brlek organized the seminar on e Combinatorics Seminar, held every Friday morn- e interaction between discrete geometry and combi- ing, was aended regularly by all of the Laboratory natorics on words, held in May – June 2010. e the- members, students, and postdoctoral fellows, as well matic semester aracted many participants, and the as other members of the CRM. e majority of the lec- ideal surroundings greatly enhanced the activities. tures were given by visitors. In all, 22 talks were given Finally, LaCIM members were active throughout the in the seminar in 2009 – 2010. year as invited lecturers. For example, C. Hohlweg was invited to speak at the 65th Oawa – Carleton Alge- bra Day on September 26, 2009, and François Bergeron was invited to speak at the 66th Oawa – Carleton Al-
72 R L gebra Day on April 24, 2010. Christophe Reutenauer Christophe Reutenauer (UQÀM) was an invited speaker at the 7th international con- Algebraic combinatorics, noncommutative algebra, ference WORDS 2009 held in Salerno, Italy, and at the automata theory, coding theory, free algebras Combinatorial Algebra Meets Algebraic Combinatorics Timothy R. S. Walsh (UQÀM) Seventh Annual Meeting held at een’s University Algorithmics, enumerative combinatorics, graph (January 22 – 24, 2010). theory
Members of the laboratory Associate members Regular members Pierre Lalonde (Maisonneuve) Enumerative and bijective combinatorics, alternating Srečko Brlek (UQÀM), director sign matrices, enumeration of involutions with respect Combinatorics of words, algorithmics to various parameters, use of Pfaffians and determi- Ibrahim Assem (Sherbrooke) nants in enumeration Representation theory Cédric Lamathe (UQÀM) François Bergeron (UQÀM) Combinatorics of tree-like structures, theory of Combinatorics, algebra, representations of finite species, indicator series of partially labeled structures groups and asymmetric structures Robert Bédard (UQÀM) Luc Lapointe (Talca) Representations of finite groups, Lie theory Algebraic combinatorics, symmetric functions, inte- Anne Bergeron (UQÀM) grable systems, supersymmetries Bioinformatics Odile Marcotte (UQÀM & CRM) omas Brüstle (Sherbrooke & Bishop’s) Combinatorial optimization, integer programming, Algebraic combinatorics, cluster algebras, triangula- graph theory tions of surfaces, stochastic differential equations, Dominic Rochon (UQTR) mathematical models in finance Complex analysis, hypercomplex numbers Cedric Chauve (Simon Fraser & UQÀM) Enumerative combinatorics, trees, bioinformatics Collaborating members Alain Goupil (UQTR) Marcello Aguiar (Texas A&M) Combinatorics, algebra, linear representations of Algebraic combinatorics, noncommutative algebra, groups, symmetric group Hopf algebras and quantum groups, category theory Sylvie Hamel (Montréal) Luc Bélair (UQÀM) Bioinformatics and algorithms, theory of languages Mathematical logic, model theory and automata, algebraic combinatorics Nantel Bergeron (York) Christophe Hohlweg (UQÀM) Applied algebra Algebra, algebraic combinatorics, convex geometry Pierre Bouchard (UQÀM) Gilbert Labelle (UQÀM) Commutative algebra, algebraic geometry and combi- Enumerative combinatorics, analysis natorics Shiping Liu (Sherbrooke) Michel Bousquet (Vieux-Montréal) Representation theory Enumeration of combinatorial structures, planar maps Vladimir Makarenkov (UQÀM) and cacti, theory of species, Lagrange inversion Computational biology, mathematical classification formulas Marni Mishna (Simon Fraser) Yves Chiricota (UQÀC) Algorithms and enumerative, analytical, and algebraic Computer graphics, mathematical methods in com- combinatorics puter graphics, combinatorics, computational geome- try, symbolic computation
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Sylvie Corteel (Paris Diderot & CNRS) Daniel Lemire (TÉLUQ) Enumerative and bijective combinatorics, partitions of Database theory, data warehousing, multidimensional integers, q-series databases (OLAP), data mining, time series, collabora- Adriano Garsia (UCSD) tive filtering, information retrieval Algebraic combinatorics, symmetric functions, har- Simon Plouffe monic and coinvariant spaces, quasiharmonic and Integer sequences, generalized expansions of real quasi-invariant functions numbers André Joyal (UQÀM) Xavier G. Viennot (Bordeaux 1) Algebraic topology, category theory Enumerative, algebraic, and bijective combinatorics, Jacques Labelle (UQÀM) interactions between combinatorics, theoretical infor- Combinatorics, topology matics, and theoretical physics Louise Laforest (UQÀM) Data structures, combinatorics, asymptotic analysis, quaternary trees
Mathematical Analysis
Description nized the First Bavaria – ébec Mathematical Meet- ing in Complex Analysis at the CRM in 2009, an event At the same time classical and central to modern math- that shall be repeated in the years to come. Finally, ematics, analysis involves the study of continuous sys- based on a workshop held at the CRM in 2008, the book tems, from dynamical systems to solutions of partial Hilbert Spaces of Analytic Functions, edited by Javad differential equations and spectra of operators. In Mashreghi, omas Ransford, and Kristian Seip was 2009 – 2010 the Laboratory included 30 regular and 8 published in 2010 in the CRM Proceedings and Lecture associate members working at eight different univer- Notes. e book provides an account of the latest de- sities in ébec, the United Kingdom, and France. e velopments in the field of analytic function theory. members of the laboratory work in the following areas: harmonic analysis, complex analysis and several com- Students, postdoctoral fellows, and visitors plex variables, potential theory, functional analysis, Banach algebras, microlocal analysis, analysis on man- Altogether, in 2009 – 2010, 23 postdoctoral fellows, 51 ifolds, nonsmooth analysis, spectral theory, partial dif- Ph.D. students, and 39 M.Sc. students were supervised ferential equations, geometric analysis, ergodic theory or cosupervised by members of the laboratory. and dynamical systems, control theory, mathematical physics, applied mathematics, probability, nonlinear Seminars analysis, nonlinear differential equations, topological methods in differential equations, fluid dynamics, and e members of the Mathematical Analysis Labora- turbulence. tory organize several seminars at four main locations. Laval University hosts an Analysis Seminar, which fea- News and highlights tured 18 talks in 2009 – 2010, and an Analysis Work- shop, which featured 19 talks. Galia Dafni (Con- Several Laboratory members received important hon- cordia University), Alexander Shnirelman (Concordia ours this year. Alexander Shnirelman was invited University), and Dmitry Jakobson (McGill University) to speak at the International Congress of Mathemati- jointly organize the McGill/Concordia Analysis Sem- cians 2010 in Hyderabad; we offer him our con- inar, which featured 32 talks in 2009 – 2010. A Semi- gratulations! In 2009, Dmitry Jakobson and Vojkan nar on Dynamical Systems, featuring 1 talk, was also Jakšić both received NSERC Accelerator Awards. Lab- held at Concordia. At the Université de Montréal, oratory members have also been busy with scien- Paul Gauthier (Université de Montréal) and Richard tific events. Richard Fournier (Dawson College) and Fournier (Dawson College) organize an Analysis Sem- Stephan Ruscheweyh (Universität Würzburg) orga- inar that featured 3 talks in 2009 – 2010, and Christiane
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Rousseau organizes the Nonlinear Analysis and Dy- Francis H. Clarke (Lyon 1) namical Systems Seminar, which featured 5 speakers. Nonlinear and dynamic analysis, control theory, cal- Dmitry Jakobson organized a working seminar on culus of variations moduli spaces of Riemannian metrics (comprising 10 Galia Dafni (Concordia) hours) in the Spring of 2010. Vojkan Jakšić organized Harmonic analysis, partial differential equations, com- a student research seminar in mathematical physics in plex variables 2010. In addition, five CRM – ISM Colloquium speak- Donald A. Dawson (Carleton) ers were invited by laboratory members: Bálint Virág Probability, stochastic processes (University of Toronto), Jeremy astel (University S. W. Drury (McGill) of Toronto), Robert McCann (University of Toronto), Harmonic analysis, matrix theory Christopher Sogge (Johns Hopkins University), and Richard Duncan (Montréal) Svetlana Katok (Pennsylvania State University). Ergodic theory, martingale theory, probability theory Workshops, special sessions, and others in Banach spaces Richard Fournier (Dawson) Richard Fournier (Dawson College) and Stephan Complex analysis, function theory Ruscheweyh (Universität Würzburg) organized the Marlène Frigon (Montréal) First Bavaria – ébec Mathematical Meeting, which Nonlinear analysis, differential equations, fixed point was held at the CRM on November 30 – December 3, theory, critical point theory, multivalent analysis 2009. Funded by the Mathematical Analysis Labora- Paul M. Gauthier (Montréal) tory and the ministère des Relations internationales Complex analysis, holomorphy, harmonicity, analytic du ébec, the meeting had the goal of bringing to- approximation gether mathematicians from Bavaria and ébec who share common mathematical interests. is first meet- Pawel Gora (Concordia) ing was devoted to complex analysis in general, real Ergodic theory, dynamical systems, fractal geometry and complex approximation theory, and some topics Frédéric Gourdeau (Laval) related to the Riemann Zeta function. e reader will Banach algebras, cohomology, amenability, functional find more details on this meeting in the Section Gen- analysis eral Program (p. 27). Vojkan Jakšić (McGill) Mathematical physics, quantum statistical mechanics, First Bavaria – ébec Mathematical Meeting random Schrödinger operators November 30 – December 3, 2009, CRM Organizers: Richard Fournier (Dawson), Stephan Tomasz Kaczynski (Sherbrooke) Ruscheweyh (Würzburg) Topological methods, Conley index, applications to dy- namical systems Members of the laboratory Ivo Klemes (McGill) Harmonic analysis, trigonometric series Regular members Alexey Kokotov (Concordia) Dmitry Jakobson (McGill), director Spectral geometry of Riemann surfaces, hyperbolic Pure mathematics, global analysis, spectral geometry, partial differential equations quantum chaos, harmonic analysis, eigenvalues and Paul Koosis (McGill) eigenfunctions Harmonic analysis Line Baribeau (Laval) Javad Mashreghi (Laval) Complex and functional analysis, Banach algebras, Complex analysis, harmonic analysis, Hardy spaces holomorphic iterations, discrete groups Yiannis N. Petridis (Lehman Coll., CUNY) Abraham Boyarsky (Concordia) Automorphic forms and their spectral theory, analytic Dynamical systems number theory, spectral and scaering theory of man- ifolds
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Iosif Polterovich (Montréal) Associate members Geometric analysis, spectral theory, functional analy- Octavian Cornea (Montréal) sis, differential geometry, partial differential equations Algebraic topology, dynamical systems omas J. Ransford (Laval) Kohur Gowrisankaran (McGill) Complex and harmonic analysis, functional analysis Potential theory and theory of operators, spectral analysis, potential theory Pengfei Guan (McGill) Partial differential equations, geometric analysis, sev- Dominic Rochon (UQTR) eral complex variables Complex analysis, hypercomplex numbers John Harnad (Concordia) Jérémie Rostand (Laval) Mathematical physics, classical and quantum physics, Complex analysis, experimental mathematics geometrical methods, integrable systems, group theo- Christiane Rousseau (Montréal) retical methods, random matrices, isomonodromic de- Dynamical systems, bifurcations, qualitative theory, formations, isospectral flows polynomial systems, analytic invariants, integrable Niky Kamran (McGill) systems Geometric approach to partial differential equations Dana Schlomiuk (Montréal) Dmitry Korotkin (Concordia) Global analysis, dynamical systems, singularities, bi- Integrable systems, isomonodromic deformations, furcations, algebraic curves, primary integral classical and quantum gravity, Frobenius varieties Alexander Shnirelman (Concordia) Nilima Nigam (Simon Fraser) Applications of geometric analysis to fluids and “weak” Applied analysis, numerical methods in electromag- solutions of the Euler and Navier – Stokes equations netism Alina Stancu (Concordia) Samuel Zaidman (Montréal) Geometric analysis Functional analysis and differential equations in ab- Ron J. Stern (Concordia) stract spaces, pseudo-differential operators Functional analysis and theory of operators, linear and nonlinear systems, non-smooth analysis, stability, op- timal order John A. Toth (McGill) Spectral theory, semi-classical analysis, microlocal analysis, Hamiltonian mechanics
Mathematical Physics
Description of random Schrödinger operators; quasi-crystals; rela- tivity; spectral transform methods; foundational ques- e mathematical physics group is one of the oldest tions in quantization; asymptotics of eigenstates; co- and most active at the CRM. It consists of sixteen reg- herent states; wavelets; supersymmetry; the symmetry ular members, nine local associate members, all full- analysis of PDEs and difference equations; representa- time faculty members at one of the participating uni- tion theory of Lie groups and quantum groups; and the versities, and six external associate members work- mathematical structure of classical and quantum field ing permanently at universities and research labora- theories. tories in Europe or the U.S. e group carries out re- search in many of the most active areas of mathe- News and highlights matical physics: coherent nonlinear systems in fluids, optics, and plasmas; classical and quantum integrable e regular membership of the laboratory was in- systems; the spectral theory of random matrices; per- creased in 2009 – 2010 to include Manu Paranjape (full colation phenomena; conformal field theory; quantum professor at the Department of Physics, Université statistical mechanics; spectral and scaering theory de Montréal) and Robert Brandenberger (Canada Re-
76 R L search Chair in eoretical Cosmology at the Depart- the prix Armand-Frappier for 2009; this prize is the ment of Physics, McGill University), who were previ- highest distinction given by the government of ébec ously associate members. for the creation or development of research establish- Michel Grundland spent his sabbatical leave during the ments and for the administration and promotion of re- first half of 2009 at the following institutions: the Uni- search. He was also honoured in 2010 by being named versità degli Studi di Roma Tre, Università del Salen- chevalier de l’Ordre de la Pléiade. to, École normale supérieure, and the Research Center Students, postdoctoral fellows, and visitors on Mathematics and their Applications, University of Warsaw. From May 15 to May 22, John Harnad was In 2009 – 2010 the laboratory members supervised or a Visiting Fellow at the Hanse Wissenschaskolleg, in cosupervised 26 M.Sc. students, 43 Ph.D. students, and Delmenhorst, Germany. Véronique Hussin continued 34 postdoctoral fellows. Here is a list of some of these her term as Visiting Professor at Northumbria Uni- fellows, working under the supervision of one or more versity, United Kingdom (2006-2012). From June 2009 of the regular members of the Mathematical Physics to May 2010, she was on sabbatical leave at Durham Laboratory (the names of the supervisors are listed in and Northumbria University. Dmitry Korotkin spent parentheses): Robert Buckingham (Harnad, Bertola, May – June, 2010 as a visiting researcher at the Haus- Korotkin), Norman Van Do (Hurtubise), Mickael Ger- dorff Institute of Mathematics, Bonn, Germany. For a main (Patera), Alexandre Hariton (Grundland), Seung three-week period in February and March 2010, Manu Yeop Lee (Harnad), Maryna Nesterenko (Patera), Aleix Paranjape was an invited lecturer at the African Insti- Prats-Ferrer (Bertola & Harnad), Prim Plansangkate tute for Mathematical Sciences (AIMS) in Cape Town, (Korotkin & Ali), Sarah Post (Winternitz & Grund- South Africa. land), David Ridout (Mathieu & Saint-Aubin), Dong Invited talks by laboratory members at international Wang (Harnad & Bertola), Benjamin Young (Hurtubise conferences and workshops in 2009 – 2010 are too nu- & Harnad), Ismet Yurdusen (Grundland & Winternitz). merous to be listed here, but some sample events in- e following is a list of visiting researchers in the pe- clude the following. Marco Bertola was an invited lec- riod June 2009 – May 2010, who were either invited turer at the Co-Sponsored School on Integrable Sys- guests of one or more of the regular lab members or tems and Scientific Computing held at ICTP (June 15 – guests of the lab. Several of these are long-term collab- 20, 2009). Robert Brandenberger gave invited plenary orators of lab members and/or external associate mem- talks at the following meetings: Conference on Holo- bers. e names of their hosts are indicated in paren- graphic Cosmology at the Perimeter Institute (July 15 – theses. 18, 2009); Emergent Gravity IV Conference, held at the Physics Department, UBC (August 24 – 28, 2009); Phi- • F. Bagarello, Palermo losophy of Cosmology Conference, at Oxford Univer- May 19 – 29, 2010 (Ali) sity (September 20 – 22, 2009). • T. Bhaacharya, IISc Bangalore Robert Brandenberger was awarded a Killam Research September 17 – 28, 2009 Fellowship for the period September 2009 – August • Indranil Biswas, Tata Inst. 2011. Jean-Pierre Gazeau was named Chairman of the September 2009 (Hurtubise) Standing Commiee of the International Colloquium • Harry Braden, Edinburgh on Group eoretical Methods in Physics (ICGTMP). November – December (2 weeks), 2009 (Harnad) John Harnad was named Member of the Provost’s Cir- • Cliff Burgess, McMaster & Perimeter Inst. cle of Distinction at Concordia University in June 2009, September 25, 2009 (Paranjape) and in January 2010, he began a three-year term as in- vited Affiliate Member of the Perimeter Institute. Yvan • Leonid Chekhov, Steklov Inst., Moscow Saint-Aubin won the prix du recteur pour un ouvrage Fall 2009 (Korotkin) didactique for the book Mathématiques et Technologie • Robert Conte, CEA/Saclay (jointly with Christiane Rousseau). In 2009 he was also May 2010 (Grundland) awarded (jointly with Christiane Rousseau) the prix • Benjamin Doyon, King’s College London Adrien-Pouliot by the Association mathématique du August 26 – September 4, 2009; June 2010 (Harnad & ébec for the same book. Luc Vinet was awarded Mathieu)
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• Vladimir Dragovic, SANU & Lisboa • Zora omova, SUNYIT April 13 – 27, 2010 (Shramchenko) July 13 – 21; November 5 – 8, 2009; January 4 – 6; • Victor Enolskii, Inst. of Magnetism, NAS of Ukraine March 4 – 10, 2010 (Winternitz) September 1 – December 31, 2009 (Harnad) • J. Traschen, UMass Amherst • Bertrand Eynard, CEA/Saclay April 18 – 20, 2010 (Brandenberger) March 15-19, 2010 (Harnad & Bertola) • Alexander Turbiner, UNAM • Jean-Pierre Gazeau, Paris Diderot February 28 – March 8, 2010 (Winternitz) May 23 – 30, 2010 (Ali) • G. Veneziano, CERN & Collège de France • Peter Goldstein, Warsaw September 26 – 30, 2009 (Brandenberger) August – September 2009 (Grundland) • Peter Zograf, Steklov Inst., St. Petersburg • Zdenek Kabat, TU Prague October – November 2009 (Korotkin) February 2 – April 10, 2010 (Winternitz) • Caroline Kalla, Bourgogne Seminars October 2009 (Korotkin) e usual weekly Seminar Series in Mathematical • Dalibor Karasek, TU Prague Physics took place at the CRM every Tuesday aer- February 2 – 26, 2010 (Winternitz) noon from September 2009 to May 2010, with active • Christian Klein, Bourgogne participation by members, visitors, postdoctoral fel- September 2009 (Shramchenko) lows, and students. e organizers during the 2009 – • Brijesh Kumar, IIT Mumbai 2010 academic year were Yvan Saint-Aubin (Univer- January 1 – June 30, 2010 (Paranjape) sité de Montréal) and Michel Grundland (Université • Luc Lapointe, Talca du ébec à Trois-Rivières). Approximately half the January 2010 (Mathieu) talks were given by visiting invited speakers, the rest by regular and associate Laboratory members, post- • Decio Levi, Roma Tre doctoral fellows, and visitors. In addition, the Work- October 30 – November 30, 2009 (Winternitz) ing Seminar on Integrable Systems, Random Matrices, • A. Nicolis, Columbia Random Processes continued, taking place again every September 20, 2010 (Brandenberger) ursday aernoon at Concordia, with active partici- • Alexandre Orlov, Shirshov Inst. pation of many Laboratory members, postdoctoral fel- May 17 – June 15, 2009 (Harnad) lows, students, and visitors. e organizers in 2009 – • S. Rasanen, CERN & Helsinki 2010 were Seung-Yeop Lee (CRM) and Benjamin Young March 5 – 8, 2010 (Brandenberger) (Laboratory postdoctoral fellow, CRM and McGill). • D. Robbins, Texas A&M e two invited colloquium speakers sponsored by the September 29 – October 4, 2009 (Brandenberger) Mathematical Physics Laboratory during the period • S. Shyam Roy, IISER Kolkata September 2009 – June 2010 were Nigel Hitchin (Uni- August 15 – December 25, 2009 (Ali) versity of Oxford), who spoke on April 9, 2010, on Mag- netic monopoles and projective geometry, and Jeremy • Nasser Saad, Prince Edward Island astel (University of Toronto), who spoke on Febru- June 1 – July 1, 2009 (Hall) ary 19, 2010, on Large scale behaviour of the continuum • Saumia Pandiat Sankar, Inst. of Physics, random polymer and KPZ. Bhubaneswar April 4 – September 30, 2010 (Paranjape) Workshops and Special Sessions • Kalidas Sen, Hyderabad June 1 – July 1, 2009 (Hall) Robert Brandenberger was a principal organizer of two • K. Skenderis, Amsterdam workshops held at McGill University: the Holographic September 29 – October 5, 2009 (Brandenberger) Cosmology Workshop, which took place on October • Libor Snobl, TU Prague 2 – 4, 2009, and was funded in part by the Mathemati- September 3 – 27, 2009 (Winternitz) cal Physics Laboratory; and the 2nd Holographic Cos- mology Workshop, which took place on May 9 – 11,
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2010. More details on the first of these workshops can Pierre Mathieu (Laval) be found in the Section General Program (p. 27). Conformal field theory, classical and quantum inte- grable systems, affine Lie algebras Holographic Cosmology Workshop October 2-4, 2009, McGill University Manu Paranjape (Montréal) Organizer: Robert Brandenberger (McGill) eoretical particle physics: field theory, solitons, noncommutative geometry, alternative gravity S. T. Ali was coorganizer of the XIII International Jiří Patera (Montréal) Workshop on Wavelets, antization and Differential Applications of group theory, quasi-crystals, Lie alge- Equations at the Universidad de La Habana (February bras 22 – 26, 2010). Yvan Saint-Aubin (Montréal) Members of the laboratory Conformal field theory, statistical mechanics, 2- dimensional phase transition model Regular members Luc Vinet (Montréal) Symmetry properties of systems, special functions John Harnad (Concordia), director Mathematical physics, classical and quantum physics, Pavel Winternitz (Montréal) geometrical methods, integrable systems, group theo- Methods of group theory in physics, nonlinear phe- retical methods, random matrices, isomonodromic de- nomena, symmetries of difference equations, superin- formations, isospectral flows tegrability Syed Twareque Ali (Concordia) Associate members Coherent states, wavelets, quantization techniques, harmonic analysis, Wigner functions Robert Conte (CEA/Saclay) Integrable and partially integrable systems, Painlevé Marco Bertola (Concordia) analysis, exact solutions, finite difference equations Axiomatic quantum field theory, invariant theory of discrete groups, random matrices, isomonodromic de- Chris Cummins (Concordia) formations Group theory, modular functions, moonshine Robert Brandenberger (McGill) Stéphane Durand (Édouard-Montpetit) eoretical cosmology Classical and quantum physics, mathematical physics, symmetries, parasupersymmetries, fractional super- Alfred Michel Grundland (UQTR) symmetries, KdV equations, quantum mechanics, rel- Symmetry of differential equations in physics ativity Richard L. Hall (Concordia) Bertrand Eynard (CEA/Saclay) Spectra of Schrödinger, Klein – Gordon, Dirac and Matrix models, integrable systems, string theory, re- Salpeter operators, many-body problems, relativis- lationship between matrix models, integrability, and tic scaering theory, iterative solution to ODEs and algebraic geometry boundary-value problems Jean-Pierre Gazeau (Paris Diderot) Jacques Hurtubise (McGill) Coherent states, wavelets, relativistic quantum frames, Algebraic geometry, integrable systems, gauge theory, symmetry groups for beta-laices moduli spaces Alexander Its (IUPUI) Véronique Hussin (Montréal) Soliton theory, integrable systems, special functions, Group theory, Lie algebras and applications in physics, mathematical physics supersymmetries in classical and quantum mechanics Dmitry Jakobson (McGill) Dmitry Korotkin (Concordia) Pure mathematics, global analysis, spectral geometry, Integrable systems, isomonodromic deformations, quantum chaos, harmonic analysis, eigenvalues and classical and quantum gravity, Frobenius varieties eigenfunctions Jean LeTourneux (Montréal) Vojkan Jakšić (McGill) Symmetry properties of systems, special functions Mathematical physics, quantum statistical mechanics, random Schrödinger operators
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Niky Kamran (McGill) Vasilisa Shramchenko (Sherbrooke) Geometric approach to partial differential equations Frobenius manifolds, integrable systems, Riemann- François Lalonde (Montréal) Hilbert problems, isomonodromic deformations of sys- Symplectic topology and geometry, global analysis on tems of linear differential equations, function theory manifolds, Hamiltonian systems on Riemann surfaces Decio Levi (Roma Tre) John A. Toth (McGill) Symmetries of differential and difference equations, Spectral theory, semi-classical analysis, microlocal integrable nonlinear equations on the laice and re- analysis, Hamiltonian mechanics ductive perturbation theory on the laice Carolyne M. Van Vliet (Miami) Alexander Shnirelman (Concordia) Non-equilibrium statistical mechanics, fluctuations Applications of geometrical analysis to fluids and and stochastic processes, quantum transport in con- “weak” solutions of the Euler and Navier – Stokes densed maer, electronic behaviour in submicron equations quantum devices
PhysNum
Description Fahima Nekka and her team conduct research in phar- macometrics, a discipline whose goal is to interpret e PhysNum laboratory was created by physicists and describe pharmacological phenomena in a quanti- (hence its acronym, which means Physique numé- tative manner. Pharmacometrics consists of the study rique). At the present time its members conduct re- of measurement, regression analysis (data fiing), and search in medical imaging and pharmacokinetics. e system reproduction (modelling and simulation), for researchers whose field is medical imaging take part in the estimation, evaluation, understanding, and predic- the activities of the Laboratoire International de Neu- tion of pharmaceutical processes in terms of their gen- roimagerie et Modélisation (LINeM), which was cre- eral trends and variability. ated in 2008 by three institutions: the Institut natio- Within this area, Fahima Nekka’s group is working nal de la santé et de la recherche médicale (Inserm, on the efficient integration of different drug-related France), the Université Pierre et Marie Curie (Paris), aspects and mechanisms. e group’s modelling ap- and the Université de Montréal. In particular, Phys- proach, whether driven by hypotheses or data, aims to Num researchers have ongoing collaborations with re- increase our understanding and to explain the complex searchers from the Centre de recherche de l’Institut relationship between drugs and living systems. e universitaire de gériatrie de Montréal (CRIUGM) and team is working on the following topics: from Unité UMR-S 678 (Inserm). e goal of LINeM is to develop the best mathematical models and tools • Compliance metrics and ranking; in diverse areas of neuroimaging. Here are the topics • Metrics to evaluate the clinical impact of variable studied by LINeM researchers: drug intake behaviour; • Pharmacometrics and mechanistic modelling in ani- • Physiological and biochemical sources of functional mal drug use; brain imaging signals; • Objective evaluation of a treatment efficacy through • Cerebral activation networks; the extension of classical breakpoint estimation • Haemodynamic responses in optical imaging; methods to the case of variable pharmacokinetic pro- • Inverse problems and wavelets; files; • Functional neuroanatomy of the spinal cord; • Development of physiology-based pharmacokinetic • Intrinsic optical imaging of the spinal cord and the (PBPK) models to predict drug-drug interactions; brain and data analysis; and • antitative imaging of aging, and • Development and use of global sensitivity ap- • Seizure prediction for epileptic patients with im- proaches for PBPK models. plants.
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News and highlights of methodology, the group has developed a global sen- sitivity approach based on the partial rank correlation In 2009 – 2010 laboratory members working on medi- coefficient, which has been used on these models to cal imaging carried out several projects that are listed investigate how the uncertainty and variability of the below. e names of the investigators are given within correlated physiological parameters influence the out- parentheses and the relationship of these projects with come of the drug distribution process. graduate training is described. In vitro/in vivo Classification of interictal spikes as measured by the Unlike the ideal in vitro conditions, where major EEGs of epileptic patients (Lina) guidelines for drug efficacy are routinely established is project gave rise to two master’s theses (by S. Des- for stable drug concentrations, the in vivo condi- lauriers-Gauthier and A.-S. Dubarry, respectively). tions induce a high variability and thus raise concerns about the applicability of in vitro-established princi- Parsimonious reconstruction of the cerebral activity us- ples. is in vivo variability may have various ori- ing data from non-invasive electrophysiology (Lina) gins and forms. One of these sources is structural is work was carried out in collaboration with and is directly linked to the drug disposition and elim- C. Grova from McGill and gave rise to a master’s the- ination process (ADME), in which the drug concen- sis by E. Lemay and a topic for a Ph.D. thesis (by tration (considered as a function of time) is oen de- Y. Zérouali). scribed using ordinary differential equations. Fahima Time-frequency analysis of intracranial EEG signals Nekka’s group has developed a mathematical approach (Lina) that transforms the in vitro results into in vivo predic- e collaborators of Jean-Marc Lina for this project tions. is can be used for optimizing drug regimens in are S. Jaffard (ÉNS Cachan), P. Abry (ÉNS Lyon), and terms of dose and frequency as well as for evaluating J. Gotman (Montréal Neurological Institute). drug bioequivalence. Measurement of the hemodynamic response through dif- fuse optical imaging (Lesage, Lina, Benali) is project is carried out in collaboration with two Students students: A. Machado and S. Chapuisat. In 2009 – 2010 the members of PhysNum supervised or Parsimonious sampling in optical imaging (Lesage, cosupervised 8 M.Sc. students, 12 Ph.D. students, and Lina, Hamelin) 4 postdoctoral fellows. Neuronal imaging of the visual system (Lesage) Multimodal imaging of the spinal cord (Benali, Lesage) Workshops, special sessions, and others is project gave rise to the master’s theses of S. Cha- puisat and A. Goguin, respectively, and to the topics of PhysNum members were deeply involved in postdoctoral internships by J. Cohen-Adad and M. De- the organization of the CRM thematic semester haes. onMathematical Problems in Imaging Science: From Models of anatomical connectivity (Benali) the Neuronal to the antum World, held from Au- Models of functional connectivity (Benali) gust to December 2009 at the CRM. Lesage and Lina Multimodal imaging (Benali, Lina) were both on the scientific commiee of the thematic is project gave rise to a collaboration with C. Grova, semester, while Benali, Lesage, and Lina were all on from McGill, and a master’s thesis by E. Lemay. the organizing commiee. e semester included four workshops, with three of the four organized by Phys- In 2009 – 2010 Fahima Nekka and her group worked on Num members. We refer the reader to the section the following projects. ematic Program for more details. Physiologically based pharmacokinetics (PBPK) mod- elling Regular members of the laboratory e group worked on the conception of PBPK mod- els to predict the drug disposition (accounting for Jean-Marc Lina (ÉTS), director metabolic and transport activity modulation). In terms Wavelets, statistical modelling and brain imaging, ma- chine learning
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Alain Arnéodo (ÉNS Lyon & CNRS) Fahima Nekka (Montréal) Fractals and wavelets Pharmacokinetics, development of mathematical tools Habib Benali (UPMC) from fractal geometry and harmonic analysis for ex- antitative analysis in brain imaging, medical imag- tracting information, applications to pharmacology ing and multimodal systems and medicine Bernard Goulard (Montréal) Brain imaging Frédéric Lesage (Polytechnique Montréal) Conformal theory, integrable systems, inverse prob- lems, optical imaging
Statistics
Description Urgel Archambault 2009 of ACFAS (Association fran- cophone pour le savoir), granted to a researcher in Statistics is central to many endeavours in society. engineering, mathematics, physics, or computer sci- Be it through surveys from sampling, clinical trials to ence. Louis-Paul Rivest (Université Laval) received the study various biomedical treatments, or experimental Gold Medal from the Canadian Statistical Society for designs in agriculture or industry, statistical method- his contributions to multivariate analysis, directional ology can be found everywhere in science. Recently, statistics, survey sampling, as well as for his appli- statistics has undergone a revolution in its techniques cations thereof in various fields, including ecology, and approaches. is revolution has been driven by biomechanics, and geophysics. In addition, the Cana- the need to analyze very large data sets and data with dian Institutes of Health Research awarded the Maud more complex structure, and by the advent of power- Menten Prize to Aurélie Labbe (McGill University) for ful computers. For example, statistical methodology is her work on the definition of a genotype in complex now addressing problems whose structure is very com- diseases. Aurélie Labbe was also awarded a research plex, such as the analysis of brain images or genome scholarship from ébec’s Fonds de la recherche en data, and new methodology is being developed, such santé. as data mining, for large data sets. Members of the Statistics Laboratory continued to be One of the aims of the Laboratory is to structure the influential in the statistical community, giving lectures ébec statistical community so that it can participate and plenary talks as invited speakers at many inter- in this revolution at a time when an important renewal national meetings. For example, Yoshua Bengio was of academic personnel is taking place. is structure invited to the Deep Learning Workshop (United King- allows the ébec community to benefit from a re- dom, July 2009), while Jim Ramsay organized work- cently created Canada-wide program for complex data shops on functional analysis and dynamical systems at structures (NICDS), organized by the three Canadian BIRS and UBC. Nadia Ghazzali (plenary speaker) and mathematics institutes. e Laboratory is formed of Louis-Paul Rivest (invited speaker) participated in the the leaders of the ébec school of statistics, who work Sixième Colloque francophone sur les sondages (Tan- on topics such as statistical learning and neural net- giers, Morocco, March 2010), and Christian Genest was works, survey sampling, analysis of functional data, invited to the third annual Conference on Extreme statistical analysis of images, dependence structures, Events and Connected estions (Stavanger, Norway, Bayesian analysis, analysis of time series and financial May 2010). data, and resampling methods. e laboratory was actively involved in the organiza- News and highlights tion of the annual conference of the Canadian Statisti- cal Society, which brought more than 550 participants Several members received important distinctions this to ébec City last May. Christian Léger (Université year. For his work in artificial intelligence, Yoshua de Montréal) was President of the scientific commiee Bengio (Université de Montréal) was awarded the prix and ierry Duchesne (Université Laval) presided over
82 R L the local organizing commiee. e excellence and di- Organizers: DongMei Chen (een’s), ierry Du- versity of the programme was such that it managed to chesne & Anne-Catherine Favre (Laval), Subhash R. aract media aention. Not only was the conference Lele (Alberta) covered by the local Radio-Canada station in ébec City, it was also presented on Radio-Canada’s show Members of the laboratory Les années lumière in an 18-minute report, featuring Louis-Paul Rivest and Anne-Catherine Favre (Univer- Regular members sité Laval). Louis-Paul Rivest (Laval), director Students, postdoctoral fellows, and visitors Linear models, robustness, directional data, sampling, applications in finance Laboratory members are deeply involved in the train- Belkacem Abdous (Laval) ing of HQP. is year, at least 10 students obtained Biostatistics, health research methodology, construc- their doctorate degree. Graduates Aymen Karoui and tion and validation of measuring tools in the health François Rivest have already accepted positions as sector professors at UQÀM and the Kingston Military Col- Jean-François Angers (Montréal) lege, respectively. Also 15 Laboratory students com- Decision theory, Bayesian statistics, robustness with pleted their master’s degree this year. In 2009 – 2010 respect to prior information, function estimation laboratory members supervised or cosupervised 111 Masoud Asgharian (McGill) M.Sc. students, 77 Ph.D. students, and 8 postdoctoral Survival analysis, change-point problems, simulated fellows (including Taoufik Bouezmarni, who has ac- annealing and its variants, optimization cepted a position as professor at the Université de Sher- brooke). Yoshua Bengio (Montréal) Statistical learning algorithms, neural networks, nu- Seminars cleus models, probabilistic models, data mining, appli- cations in finance and statistical language modelling e scientific life of the Laboratory revolves around Martin Bilodeau (Montréal) the weekly CRM – ISM – GERAD Statistics Colloquium Multivariate analysis, decision theory, asymptotic in Montréal, the Statistics Seminar at Université Laval methods in ébec, and the Université de Sherbrooke Statistics Yogendra P. Chaubey (Concordia) Seminar in Sherbrooke. In 2009 – 2010, approximately Sampling, linear models, resampling, survival analysis fiy lectures took place in these three cities within the Pierre Duchesne (Montréal) framework of these seminars. Time series, sampling, multivariate analysis Workshops, special sessions, and others ierry Duchesne (Laval) Survival analysis, longitudinal data analysis, missing e Laboratory organized two international work- data, modelling of losses, insurance of catastrophic shops this year in Montréal; the two workshops re- incidents, nonparametric inference, model selection, ceived funding from the National Institute for Complex warranty Data Structures (NICDS). e reader may find more Charles Dugas (Montréal) details on these workshops in the Section Multidisci- Actuarial science, finance, learning algorithms, neural plinary and Industrial Program (p. 35). networks, universal approximation, survival analysis Analysis of Directional Data with Applications to Biome- Debbie J. Dupuis (HEC Montréal) chanics and Biomedical Imaging Extreme values, robustness November 25 – 27, 2009, CRM Sorana Froda (UQÀM) Organizers: Peter Kim (Guelph), Louis-Paul Rivest (La- Nonparametric methods in function estimation, ap- val) plications of stochastic modelling in biology and Statistical Methods for Geographic and Spatial Data in medicine the Management of Natural Resources Christian Genest (Laval) March 3 – 5, 2010, CRM Multidimensional data analysis, dependence measures,
83 C nonparametric statistics, decision theory, applications David Stephens (McGill) in actuarial science, finance and psychology Bayesian statistics, Markov Chain Monte Carlo and ap- Nadia Ghazzali (Laval) plications to bioinformatics, statistical genetics, and Multidimensional data analysis, neural networks and time series analysis genetic algorithms, applications in astrophysics and Wei Sun (Concordia) biostatistics Nonlinear filtering and its applications, stochastic Aurélie Labbe (Laval) analysis, statistical inference, stochastic modelling Biostatistics and statistical genetics Jonathan E. Taylor (Stanford) Fabrice Larribe (UQÀM) Gaussian processes, multiple comparisons, neu- Statistical genetics and biostatistics roimaging, HIV protein sequence analysis Christian Léger (Montréal) Alain C. Vandal (McGill) Resampling methods, adaptive estimation, model se- Biostatistics, nonparametric survival estimation and lection, robustness, applications in data mining graph theory, imaging, capture-recapture models Brenda MacGibbon (UQÀM) David B. Wolfson (McGill) Mathematical statistics, decision theory, biostatistics Change-point problems, survival analysis, Bayesian statistics, optimal design, applications in medicine Éric Marchand (Sherbrooke) Statistical inference, Bayesian statistics, multivariate Associate members analysis and probability Alejandro Murua (Montréal) Juli Atherton (McGill) Data mining, machine learning, object recognition, Biostatistics, optimal Bayesian design, change-point signal processing, and various applications of statistics problems, survival analysis, applications to genetics and probability to bioinformatics and the social and Mylène Bédard (Montréal) health sciences Optimal scaling, Metropolis-Hastings algorithms François Perron (Montréal) José Garrido (Concordia) Decision theory, multidimensional data analysis, Risk theory, insurance statistics Bayesian statistics David Haziza (Montréal) James Ramsay (McGill) Sampling theory, inference with missing data, robust Functional data analysis, smoothing and nonparamet- inference ric regression, curve registration Lajmi Lakhal Chaïeb (Laval) Bruno Rémillard (HEC Montréal) Multidimensional analysis of survival data, analysis of Probability theory, empirical processes, time series, recurrent events, semi-parametric models and incom- nonlinear filtering, applications in finance plete data Roch Roy (Montréal) Geneviève Lefebvre (UQÀM) Time series analysis, predictive methods, applications Bayesian and computational statistics, biostatistics in econometrics and epidemiology Lea Popovic (Concordia) Arusharka Sen (Concordia) Probability theory and its applications to evolutionary Statistical inference of truncated data, nonparametric biology, population genetics, and cell biology function estimation Russell Steele (McGill) Bayesian approaches to mixing modelling, multiple imputation
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CRM publishes monographs, lecture notes, proceedings, soware, 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 2009 – 2010 or that will be published soon. Sco, Robert A. G. Seely (eds.), Models, Logics, and Higher-Dimensional Categories (to appear). American Mathematical Society Dmitry Jakobson, Stéphane Nonnenmacher, Iosif Pol- CRM Monograph Series terovich (eds.), Spectrum and Dynamics (to appear). Olga Kharlampovich & Alexei Miasnikov, Algebraic Javad Mashreghi, omas Ransford, Kristian Siep Geometry for a Free Group (to appear). (eds.), Hilbert Spaces of Analytic Functions, vol. 51, 2010 Marcelo Aguiar & Swapneel Mahajan, Monoidal Cate- P. Robert Kotiuga (ed.), A Celebration of the Mathemat- gories, Species and Hopf Algebras (to appear). ical Legacy of Raoul Bo, vol. 50, 2009. Saugata Ghosh, Skew-Orthogonal Polynomials and Ran- dom Matrix eory, vol. 28, 2009. Springer CRM Series in Mathematical Physics American Mathematical Society John Harnad (ed.), Random Matrices, Random Processes CRM Proceedings & Lecture Notes and Integrable Systems (to appear). 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. Jean Berstel, Aaron Lauve, Christophe Reutenauer & Andrei Tyurin, antization, Classical and antum Franco V. Saliola, Combinatorics on Words: Christoffel Field eory and eta Functions, vol. 21, 2003. Words and Repetitions in Words, vol. 27, 2008. Joel Feldman, Horst Knörrer & Eugene Trubowitz, Rie- Victor Guillemin & Reyer Sjamaar, Convexity Proper- mann Surfaces of Infinite Genus, vol. 20, 2003. ties of Hamiltonian Group Actions, vol. 26, 2005. *Laurent Lafforgue, Chirurgie des grassmanniennes, *Andrew J. Majda, Rafail V. Abramov & Marcus J. vol. 19, 2003. Grote, Information eory and Stochastics for Multiscale *George Lusztig, Hecke Algebras with Unequal Param- Nonlinear Systems, vol. 25, 2005. eters, vol. 18, 2003. Dana Schlomiuk, Andrei A. Bolibrukh, Sergei Yako- Michael Barr, Acyclic Models, vol. 17, 2002. venko, Vadim Kaloshin & Alexandru Buium, On Finite- *Joel Feldman, Horst Knörrer & Eugene Trubowitz, ness in Differential Equations and Diophantine Geome- Fermionic Functional Integrals and the Renormalization try, vol. 24, 2005. Group, vol. 16, 2002. Prakash Panangaden & Franck van Breugel (eds.), Jose I. Burgos, e Regulators of Beilinson and Borel, Mathematical Techniques for Analyzing Concurrent and vol. 15, 2002. Probabilistic Systems, vol. 23, 2004.
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Eyal Z. Goren, Lectures on Hilbert Modular Varieties and Andrew Granville, Melvyn B. Nathanson & Jozsef Modular Forms, vol. 14, 2002. Solymosi (eds.), Additive Combinatorics, vol. 43, 2007. Michael Baake & Robert V. Moody (eds.), Directions in Donald A. Dawson, Vojkan Jakšić & Boris Vainberg Mathematical asicrystals, vol. 13, 2000. (eds.), Probability and Mathematical Physics: A Volume Masayoshi Miyanishi, Open Algebraic Surfaces, vol. 12, in Honor of Stanislav Molchanov, vol. 42, 2007. 2001. André Bandrauk, Michel C. Delfour & Claude Le Bris Spencer J. Bloch, Higher Regulators, Algebraic K- (eds.), High-Dimensional Partial Differential Equations eory, and Zeta Functions of Elliptic Curves, vol. 11, in Science and Engineering, vol. 41, 2007. 2000. Vestislav Apostolov, Andrew Dancer, Nigel Hitchin James D. Lewis, A Survey of the Hodge Conjecture, 2nd & McKenzie Wang (eds.), Perspectives in Comparison, edition, vol. 10, 1999 (with an appendix from B. Brent Generalized and Special Geometry, vol. 40, 2006. Gordon). Pavel Winternitz, David Gomez-Ullate, Arieh Iserles, *Yves Meyer, Wavelets, Vibrations and Scaling, vol. 9, Decio Levi, Peter J. Olver, Reinout ispel & Piergiulio 1997. Tempesta (eds.), Group eory and Numerical Analysis, vol. 39, 2005. *Ioannis Karatzas, Lectures on Mathematics of Finance, vol. 8, 1996. Jacques Hurtubise & Eyal Markman (eds.), Algebraic Structures and Moduli Spaces, vol. 38, 2004. John Milton, Dynamics of Small Neural Populations, vol. 7, 1996. Piergiulio Tempesta, Pavel Winternitz, John Harnad, Willard Miller Jr., George Pogosyan & Miguel A. Ro- *Eugene B. Dynkin, An Introduction to Branching driguez (eds.), Superintegrability in Classical and an- Measure-Valued Processes, vol. 6, 1994. tum Systems, vol. 37, 2004. Andrew M. Bruckner, Differentiation of Real Functions, Hershy Kisilevsky & Eyal Z. Goren (eds.), Number e- vol. 5, 1994. ory, vol. 36, 2004. *David Ruelle, Dynamical Zeta Functions for Piecewise H. E. A. Eddy Campbell & David L. Wehlau (eds.), In- Monotone Maps of the Interval, vol. 4, 1994. variant eory in All Characteristics, vol. 35, 2004. V. Kumar Murty, Introduction to Abelian Varieties, Pavel Winternitz, John Harnad, C. S. Lam & Jiří Patera vol. 3, 1993. (eds.), Symmetry in Physics, vol. 34, 2004. Maximilian Ya. Antimirov, Andrei A. Kolyshkin & André D. Bandrauk, Michel C. Delfour & Claude Rémi Vaillancourt, Applied Integral Transforms, vol. 2, Le Bris (eds.), antum Control: Mathematical and Nu- 1993. merical Challenges, vol. 33, 2003. *Dan V. Voiculescu, Kenneth J. Dykema & Alexandru Vadim B. Kuznetsov (ed.), e Kowalevski Property, Nica, Free Random Variables, vol. 1, 1992. vol. 32, 2002. American Mathematical Society John Harnad & Alexander R. Its (eds.), Isomonodromic CRM Proceedings & Lecture Notes Deformations and Applications in Physics, vol. 31, 2002. John McKay & Abdellah Sebbar (eds.), Proceedings on David Avis, David Bremner & Antoine Deza (eds.), Moonshine and Related Topics, vol. 30, 2001. Polyhedral Computation, vol. 48, 2009. Alan Coley, Decio Levi, Robert Milson, Colin Rogers & John Harnad & Pavel Winternitz (eds.), Groups and Pavel Winternitz (eds.), Bäcklund and Darboux Trans- Symmetries: From Neolithic Scots to John McKay, formations, vol. 29, 2001. vol. 47, 2009. John C. Taylor (ed.), Topics in Probability and Lie Jean-Marie De Koninck, Andrew Granville & Florian Groups: Boundary eory, vol. 28, 2001. Luca (eds.), Anatomy of Integers, vol. 46, 2008. Israel M. Sigal & Catherine Sulem (eds.), Nonlinear Dy- Panos M. Pardalos & Pierre Hansen (eds.), Data Mining namics and Renormalization Group, vol. 27, 2001. and Mathematical Programming, vol. 45, 2008. John Harnad, Gert Sabidussi & Pavel Winternitz (eds.), Stanley Alama, Lia Bronsard & Peter Sternberg (eds.), Integrable Systems: From Classical to antum, vol. 26, Singularities in PDE and the Calculus of Variations, 2000. vol. 44, 2007.
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Decio Levi & Orlando Ragnisco (eds.), SIDE III — Donald A. Dawson (ed.), Measure-Valued Processes, Symmetry and Integrability of Difference Equations, Stochastic Partial Differential Equations and Interacting vol. 25, 2000. Systems, vol. 5, 1994. B. Brent Gordon, James D. Lewis, Stefan Müller-Stach, Hershy Kisilevsky & M. Ram Murty (eds.), Elliptic Shuji Saito & Noriko Yui (eds.), e Arithmetic and Ge- Curves and Related Topics, vol. 4, 1994. ometry of Algebraic Cycles, vol. 24, 2000. Andrei L. Smirnov & Rémi Vaillancourt (eds.), Asymp- Pierre Hansen & Odile Marcoe (eds.), Graph Colour- totic Methods in Mechanics, vol. 3, 1993. ing and Applications, vol. 23, 1999. Philip D. Loewen, Optimal Control via Nonsmooth Jan Felipe van Diejen & Luc Vinet (eds.), Algebraic Analysis, vol. 2, 1993. Methods and q-Special Functions, vol. 22, 1999. M. Ram Murty (ed.), eta Functions, vol. 1, 1993. Michel Fortin (ed.), Plates and Shells, vol. 21, 1999. Katie Coughlin (ed.), Semi-Analytic Methods for the Springer Navier – Stokes Equations, vol. 20, 1999. CRM Series in Mathematical Physics Rajiv Gupta & Kenneth S. Williams (eds.), Number e- Marc iriet, Biology and Mechanics of Blood Flows, ory, vol. 19, 1999. 2008 (2 volumes). Serge Dubuc & Gilles Deslauriers (eds.), Spline Func- David Sénéchal, André-Marie Tremblay & Claude tions and the eory of Wavelets, vol. 18, 1999. Bourbonnais (eds.), eoretical Methods for Strongly Olga Kharlampovich (ed.), Summer School in Group Correlated Electrons, 2003. eory in Banff, 1996, vol. 17, 1998. *Roman Jackiw, Lectures on Fluid Dynamics, 2002. Alain Vincent (ed.), Numerical Methods in Fluid Me- Yvan Saint-Aubin & Luc Vinet (eds.), eoretical chanics, vol. 16, 1998. Physics at the End of the Twentieth Century, 2001. François Lalonde (ed.), Geometry, Topology and Dy- Yvan Saint-Aubin & Luc Vinet (eds.), Algebraic Meth- namics, vol. 15, 1998. ods in Physics, 2000. John Harnad & Alex Kasman (eds.), e Bispectral Prob- Jan Felipe van Diejen & Luc Vinet (eds.), Calogero – lem, vol. 14, 1998. Moser – Sutherland Models, 1999. Michel Delfour (ed.), Boundaries, Interfaces and Transi- Robert Conte (ed.), e Painlevé Property, 1999. tions, vol. 13, 1998. Richard MacKenzie, Manu B. Paranjape & Woj- Peter G. Greiner, Victor Ivrii, Luis A. Seco & Cather- ciech J. M. Zakrzewski (eds.), Solitons, 1999. ine Sulem (eds.), Partial Differential Equations and their Luc Vinet & Gordon Semenoff (eds.), Particles and Applications, vol. 12, 1997. Fields, 1998. Luc Vinet (ed.), Advances in Mathematical Sciences: CRM’s 25 Years, vol. 11, 1997. Springer Donald E. Knuth, Stable Marriage and Its Relation to Lecture Notes in Statistics (subseries CRM) Other Combinatorial Problems, vol. 10, 1996. Marc Moore (ed.), Spatial Statistics: Methodological As- Decio Levi, Luc Vinet & Pavel Winternitz (eds.), Sym- pects and Applications, 2001. metries and Integrability of Difference Equations, vol. 9, S. Ejaz Ahmed & Nancy Reid (eds.), Empirical Bayes 1995. and Likelihood Inference, 2001. Joel S. Feldman, Richard Froese & Lon M. Rosen (eds.), Mathematical antum eory II: Schrödinger Opera- Les Publications CRM tor, vol. 8, 1995. Laurent Guieu & Claude Roger, L’Algèbre et le Groupe Joel S. Feldman, Richard Froese & Lon M. Rosen de Virasoro, 2007. (eds.), Mathematical antum eory I: Field eory Luc Lapointe, Ge Mo-Lin, Yvan Saint-Aubin & Luc and Many-Body eory, vol. 7, 1994. Vinet, Proceedings of the Canada – China Meeting on Guido Mislin (ed.), e Hilton Symposium 1993, vol. 6, eoretical Physics, 2003. 1994.
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Armel Mercier, Fonctions de plusieurs variables : Diffé- David W. Rand & Tatiana Patera, Le Concordeur, 1991 rentiation, 2002. (soware and user guide). Nadia El-Mabrouk, omas Lengauer & David Sankoff Véronique Hussin (ed.), Lie eory, Differential Equa- (eds.), Currents in Computational Molecular Biology, tions and Representation eory, 1990. 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 (soware 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 Winternitz (eds.), Self-Similarity in Stimulated Raman Scaering, Les Presses de l’Université de Montréal 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 (soware 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. *Robert Hermann, Physical Aspects of Lie Group eory, Robert Bédard, Groupes linéaires algébriques, 1991. 1974. Rudolf Beran & Gilles R. Ducharme, Asymptotic eory *Mark Kac, elques problèmes mathématiques en phy- for Bootstrap Methods in Statistics, 1991. sique statistique, 1974. James D. Lewis, A Survey of the Hodge Conjecture, 1991. *Sybreen de Groot, La transformation de Weyl et la David W. Rand & Tatiana Patera, Concorder, 1991 (so- fonction de Wigner : une forme alternative de la méca- ware and user guide). nique quantique, 1974.
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Other Collaborations with Publishers Hedy Aouch, Jean-Pierre Aubin, Francis Clarke & Ivar Ekeland (eds.), Analyse non linéaire, 1989 (a col- Marc Moore, Sorana Froda & Christian Léger (eds.), laboration with Gauthier-Villars). Mathematical Statistics and Applications: Festschri for Constance van Eeden, Lecture Notes – Monograph Se- ries, vol. 42, 2003 (a collaboration with the Institute of Videos Mathematical Statistics). Efim Zelmanov, Abstract Algebra in the 20th Century, Duong H. Phong, Luc Vinet & Shing-Tung Yau (eds.), 1997. Mirror Manifolds and Geometry, AMS/IP Studies in Serge Lang, Les grands courants, 1991. Advanced Mathematics, vol. 10, 1998 (a collaboration Robert Bédard, Brouiller les cartes, 1991. with the AMS and International Press). Serge Lang, Les équations diophantiennes, 1991. Pierre Ferland, Claude Tricot & Axel van de Walle, Fractal Analysis User’s Guide, 1994 (a collaboration Laurent Schwartz, Le mouvement brownien, 1990. with the AMS). Laurent Schwartz, Une vie de mathématicien, 1989.
CRM Preprints
CRM-3282 E. Kengne, R. Vaillancourt, Modulational CRM-3294 D. Schlomiuk, N. Vulpe, Global classifica- stability of solitary states in a lossy nonlinear electri- tion of the planar Lotka–Volterra differential systems ac- cal line, Canadian Journal of Physics, 87:11 (November cording to the configurations of invariant straight lines, 2009), 1191–1202. December 2009. CRM-3283 H. Yagoub, T. Nguyen-Ba, T. Giorda- CRM-3295 R. A. Elmahdaoui, C. Dugas, Using credit no, R. Vaillancourt, Convergence of the variable- default swap information in stock trading, January 2010. step variable-order 3-stage Hermite–Birkhoff ODE/DDE CRM-3296 M. Morales, P. Olivares, On the expected solver of order 5 to 15, Scientific Proceedings of Riga discounted penalty function for a risk model perturbed Technical University. Series 5. Computer Science, ac- by a spectrally negative Levy process, March 2010. cepted. CRM-3297 C. Dugas, Bandwidth selection for ROC CRM-3284 C. Dugas, D. Gadoury, Pointwise exact curves revisited, April 2010. bootstrap distributions of ROC curves, August 2009. CRM-3298 P. Tempesta, e universal formal group, CRM-3285 C. Dugas, N. Chapados, R. Ducharme, Almkvist–Meurman type congruences and zeta func- X. Saint-Mleux, P. Vincent, Higher-order feature syn- tions, May 2010. thesis for insurance scoring models, August 2009. CRM-3299 P. Tempesta, Integrable maps via associa- CRM-3287 C. Dugas, D. Gadoury, Pointwise exact tive algebras and number sequences, May 2010. bootstrap distributions of cost curves, August 2009. CRM-3300 D. Levi, P. Tempesta, Multiple-scale anal- CRM-3288 H. Assa, M. Morales, Risk measures on the ysis of dynamical systems on the laice, May 2010. space of infinite sequences, Mathematics and Financial CRM-3301 M. Cafaro, P. Tempesta, Finding frequent Economics, 2:4 (March 2010), 253–275. items in parallel, Concurrency and Computation: Prac- CRM-3289 F. Labrecque-Synno, J.-F. Angers, An ex- tice & Experience, submied. tension of zero-modified models to the continuous case, CRM-3302 M. Cafaro, P. Tempesta, Finding the ma- Metron, submied. jority element in parallel, eoretical Computer Sci- CRM-3292 C. Francq, R. Roy, A. Saidi, Asymptotic ence, submied. properties of weighted least squares estimation in weak CRM-3304 F. Labrecque-Synno, J.-F. Angers, Bayes- PARMA models, October 2009. ian estimation and testing for continuous zero-modified models, March 2010.
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CRM Members in 2009–2010
In contrast with most other mathematics institutes around the world, the CRM can count on the solid founda- tion of regular, associate, and invited members. Each regular member is also a professor at one of the partner institutions: Université de Montréal, Concordia University, McGill University, Université du ébec à Montréal, Université Laval, Université de Sherbrooke, and University of Oawa. Other members are researchers affiliated with the CRM in 2009–2010 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 fa- cilitated by having on hand a large reserve of willing organizers, who have even contributed financially to the organization of activities. e largest partnership is with the Université de Montréal, which grants the equiva- lent 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 Olivier Collin, UQÀM Syed Twareque Ali, Concordia Octavian Cornea, Montréal Jean-François Angers, Montréal Miklós Csűrös, Montréal Vestislav Apostolov, UQÀM Chris Cummins, Concordia Paul Arminjon, Montréal Galia Dafni, Concordia Ibrahim Assem, Sherbrooke Henri Darmon, McGill André D. Bandrauk, Sherbrooke Chantal David, Concordia Line Baribeau, Laval Jean-Marie De Koninck, Laval Peter Bartello, McGill Michel C. Delfour, Montréal Robert Bédard, UQÀM Eusebius J. Doedel, Concordia Jacques Bélair, Montréal Rachida Dssouli, Concordia Habib Benali, UPMC Pierre Duchesne, Montréal Yoshua Bengio, Montréal ierry Duchesne, Laval François Bergeron, UQÀM Nadia El-Mabrouk, Montréal Marco Bertola, Concordia André Fortin, Laval Yves Bourgault, Oawa Richard Fournier, Dawson Anne Bourlioux, Montréal Marlène Frigon, Montréal Steven Boyer, UQÀM André Garon, Polytechnique Montréal Gilles Brassard, Montréal Paul M. Gauthier, Montréal Srečko Brlek, UQÀM Christian Genest, Laval Abraham Broer, Montréal Eyal Z. Goren, McGill Robert C. Brunet, Montréal Bernard Goulard, Montréal omas Brüstle, Sherbrooke Andrew Granville, Montréal David Bryant, McGill Alfred Michel Grundland, UQTR Virginie Charette, Sherbrooke Pengfei Guan, McGill Cédric Chauve, Simon Fraser Geňa Hahn, Montréal Vašek Chvátal, Concordia Richard L. Hall, Concordia Francis H. Clarke, Lyon 1 Sylvie Hamel, Montréal
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John Harnad, Concordia François Perron, Montréal Tony R. Humphries, McGill Iosif Polterovich, Montréal Jacques Hurtubise, McGill Lea Popovic, Concordia Véronique Hussin, Montréal James O. Ramsay, McGill Adrian Iovita, Concordia omas J. Ransford, Laval Dmitry Jakobson, McGill Bruno Rémillard, HEC Montréal Vojkan Jakšić, McGill Christophe Reutenauer, UQÀM André Joyal, UQÀM Louis-Paul Rivest, Laval Tomasz Kaczynski, Sherbrooke Ivo G. Rosenberg, Montréal Niky Kamran, McGill Christiane Rousseau, Montréal Olga Kharlampovich, McGill Damien Roy, Oawa Hershy Kisilevsky, Concordia Roch Roy, Montréal Paul Koosis, McGill Peter Russell, McGill Dmitry Korotkin, Concordia Yvan Saint-Aubin, Montréal Gilbert Labelle, UQÀM David Sankoff, Oawa John Labute, McGill Dana Schlomiuk, Montréal François Lalonde, Montréal Alexander Shnirelman, Concordia Benoît Larose, Champlain St-Lambert & Concordia Vasilisa Shramchenko, Sherbrooke Christian Léger, Montréal Alina Stancu, Concordia Frédéric Lesage, Polytechnique Montréal Ron J. Stern, Concordia Sabin Lessard, Montréal Alain Tapp, Montréal Jean LeTourneux, 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, Concordia Steven Lu, UQÀM Luc Vinet, Montréal Brenda MacGibbon, UQÀM Timothy R. S. Walsh, UQÀM Michael C. Mackey, McGill omas P. Wihler, Bern Vladimir Makarenkov, UQÀM Pavel Winternitz, Montréal Michael Makkai, McGill Daniel T. Wise, McGill Javad Mashreghi, Laval Xiaowen Zhou, Concordia Sherwin A. Maslowe, McGill Pierre Mathieu, Laval Associate members John McKay, Concordia Nantel Bergeron, York Alexei G. Miasnikov, McGill Robert Conte, CEA/Saclay M. Ram Murty, een’s Stéphane Durand, Collège Édouard-Montpetit Fahima Nekka, Montréal Martin J. Gander, Genève Nilima Nigam, Simon Fraser Pierre Ille, Institut de mathématiques de Luminy Robert G. Owens, Montréal Marc Laforest, Polytechnique Montréal Manu Paranjape, Montréal Decio Levi, Roma Tre Jiří Patera, Montréal Jun Li, Pharsight
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Emmanuel Lorin de la Grandmaison, Carleton Invited members Yannis N. Petridis, UC London Mylène Bédard, Montréal Elisa Shahbazian, Lockheed Martin Canada Vyjayanthi Chari, UC Riverside Marc iriet, UPMC & INRIA Rocquencourt David Haziza, Montréal Pierre Valin, Defence R&D Canada Ian Marquette, Montréal Carolyne M. Van Vliet, Miami Manuel Morales, Montréal Jean-Paul Zolésio, INRIA Sophia Antipolis Maryna Nesterenko, Inst. of Math., NAS Ukraine Rishi Rishikesh, Waterloo
Postdoctoral Fellows
Each year the CRM plays host to a great number of postdoctoral fellows. eir funding is provided by the NSERC and FQRNT postdoctoral programs, the NATO international program administered by NSERC, the CRM (usu- ally 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.
Nadine Badr, Paris-Sud 11 Pawel Lorek, Wrocław Mounir Bennoune, Paul Sabatier Claude Mangoubi Pigier, HUJI Robert Buckingham, Duke Dan Mangoubi, Technion Mattia Cafasso, SISSA Karol Palka, Warsaw Bryden Cais, Michigan Jeehoon Park, Boston Renata Calleja, UT Austin Prim Plansangkate, Cambridge Emmanuel Delsinne, Caen Sarah Post, Minnesota Nikolai Dimitrov, Cornell Aleix Prats-Ferrer, Barcelona Norman Nam Van Do, Melbourne David Ridout, Adelaide Grégoire Dupont, Lyon 1 Marie-Odette St-Hilaire, Montréal Xander Faber, Columbia Christian Stump, Wien Igor Gorelyshev, Russian Academy of Sciences Dong Wang, Brandeis Benoit Hamelin, Polytechnique Montréal Igor Wigman, Tel Aviv Alexander J. Hariton, Montréal Zhenbin Yan, McMaster Jiří Hrivnak, TU Prague Benjamin Young, UBC Duc Khiem Huynh, Bristol İsmet Yurduşen, ODTÜ Seung-Yeop Lee, UChicago El Miloud Zaoui, Sherbrooke Ruochuan Liu, MIT
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. Most of these activities take place at the CRM itself or on the campus of the Université de Montréal. In the year 2009–2010, 610 such participants registered in the the- matic program workshops, 337 in activities of the general program, and 179 in activities of the industrial and multidisciplinary program.
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Long-term visitors Esther Widiasih, Minnesota Jie Wu, Henri Poincaré e following list only includes visitors who were in Irina Yehorchenko, Inst. of Math., NAS Ukraine residence for at least four weeks. Yuanli Zhang Shabnam Akhtari, MPI Mathematik Alexei Zhedanov, Donetsk IPE Goce Chadzitaskos, Doppler Inst. Jean-Paul Zolésio, INRIA Sophia Antipolis Victor Enolskii, Inst. of Magnetism, NAS Ukraine Bertrand Eynard, CEA/Saclay Short-term visitors Luis Finotti, Tennessee e following visitors were in residence for less than Isidore Fleischer four weeks. Gerard Freixas i Montplet, North Dakota State Gérard Ben Arous, Courant Inst. Alexandre Girouard, Neuchâtel Hans-Peter Blatt, KU Eichstä-Ingolstadt Piotr Goldstein, Andrzej Soltan Inst. for Nuclear Studies Erwin Bolthausen, Zürich Jorge Jiménez Urroz, UPC Vivek S. Borkar, Tata Inst. Zdenek Kabat, TU Prague Harry W. Braden, Edinburgh Salibor Karasek, TU Prague Luciano Buono, UOIT Payman L. Kassaei, King’s College London Robert Conte, CEA/Saclay Kamal Khuri-Makdisi, American University of Benjamin Doyon, Durham Beirut Dimitrios Koukoulopoulos, UIUC Semyon Klevtsov, ULB Jean Mawhin, UC Louvain Decio Levi, Roma Tre Jean-François Mestre, Paris Diderot Zhibin Liang, Capital Normal Marc Mézard, Paris-Sud 11 Adam Logan, Waterloo Robert V. Moody, Alberta Abdeslem Lyaghfouri, Fields Inst. Leonid Parnovski, UC London Lenka Motlochova, TU Prague Vijay Patankar, Microso Research India Nicolas Nadirashvili, Provence Severin Pošta, TU Prague Alexandre Orlov, Shirshov Inst. Jeffrey S. Rosenthal, Toronto Guillaume Ricotta, Bordeaux 1 Oliver Roth, Würzburg Libor Snobl, TU Prague Stephan Ruscheweyh, Würzburg Ramesh Sreekantan, ISI Bangalore Avinash Sathaye, Kentucky Marc iriet, UPMC & INRIA Rocquencourt Gerhard Schmeisser, Erlangen-Nürnberg Zora omova, SUNYIT Daniel Stein, Courant Inst. John Voight, Vermont Jörg Steuding, Würzburg Nicolae Vulpe, Inst. de Matematică şi Informatică, Alexander Turbiner, UNAM Moldova Akshay Venkatesh, Stanford
95 List of Students Having Graduated in 2009–2010 L S H G 2009–2010
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 2009–2010. 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 aention.
Ph.D. Students
Mélanie Beck Tamanna Howlader Tony R. Humphries & Martin Gander Yogendra P. Chaubey McGill University Concordia University Mathematics Statistics Hugue Blier Valérie Hudon Alain Tapp S. Twareque Ali Université de Montréal Concordia University Computer science Mathematics Baptiste Chantraine Majid Jaberi Douraki Olivier Collin Javad Mashreghi & omas J. Ransford Université du ébec à Montréal Université Laval Mathematics (geometry and topology option) Mathematics David Cottrell Abdoulaye Sabou Kane Paul F. Tupper André Fortin & Robert Guénee McGill University Université Laval Mathematics Mathematics (statistics option) Jean-Philippe Doyon Mathieu Lajoie Sylvie Hamel, Cédric Chauve & Hervé Philippe Nadia El-Mabrouk & Sabin Lessard Université de Montréal Université de Montréal Computer science Bioinformatics Frédéric Dupont-Dupuis Youness Lamzouri Gilles Brassard & Patrick Hayden Andrew Granville Université de Montréal Université de Montréal Computer Science Mathematics (pure mathematics option) Amal El Akkraoui Florence Laure Magnifo Kahou Peter Bartello Ivo G. Rosenberg & Lucien Haddad McGill University Université de Montréal Applied mathematics Mathematics (pure mathematics option) Frédérique Fenneteau Calvin Mbuntcha Wuntcha Fahima Nekka Ivo G. Rosenberg Université de Montréal Université de Montréal Pharmaceutical sciences Mathematics (pure mathematics option) Radu Gaba James Merleau Adrian Iovita Jean-François Angers & Luc Perreault Concordia University Université de Montréal Mathematics Statistics Hugues Gilbert Karim Oualkacha Marlène Frigon Louis-Paul Rivest Université de Montréal Université Laval Mathematics (applied mathematics option) Mathematics (statistics option)
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François Rivest Michael Lennox Wong Yoshua Bengio & John Kalaska Jacques Hurtubise & Peter Russell Université de Montréal McGill University Computer science Mathematics Marc-Daniel Ryser Zhenyu Yang Paul F. Tupper David Sankoff McGill University University of Oawa Mathematics Mathematics
M.Sc. Students
Sébastien Beauregard Andrew Fiori Louis-Paul Rivest Eyal Z. Goren Université Laval McGill University Statistics Mathematics Gabrielle Boucher David Gaboury Fabrice Larribe Charles Dugas Université du ébec à Montréal Université de Montréal Mathematics (statistics option) Mathematics (actuarial mathematics option) Laurence Boulanger Ariane Garon Marlène Frigon Srečko Brlek Université de Montréal Université du ébec à Montréal Mathematics (pure mathematics option) Mathematics Leila Bridgeman Gabriel Gauthier-Shalom Tony R. Humphries & omas P. Wihler Henri Darmon McGill University McGill University Mathematics Mathematics Sophie Burrill Andrei-Paul Grecianu Marni Mishna Ivo G. Rosenberg Simon Fraser University Université de Montréal Mathematics Mathematics (pure mathematics option) Luca Candelori Baohua He Henri Darmon Arusharka Sen McGill University Concordia University Mathematics Statistics Djamila Chagra Yao Huang Alejandro Murua Manuel Morales & Louis G. Doray Université de Montréal Université de Montréal Statistics Mathematics (actuarial mathematics option) Caroline Dazé Rabi Ibrahim Marlène Frigon Manuel Morales Université de Montréal Université de Montréal Mathematics (pure mathematics option) Mathematics (actuarial mathematics option) Sonia De Benedictis Colin Jauffret Abraham Broer Abraham Broer Université de Montréal Université de Montréal Mathematics (pure mathematics option) Mathematics (pure mathematics option)
98 L S H G 2009–2010
Isabelle Lajoie Jeremy Porter Patrick Vincent & Yoshua Bengio Chantal David Université de Montréal Concordia University Computer science Mathematics Alexandre Landry W. Phillip Rampel Pierre Mathieu Niky Kamran Université Laval McGill University Physics Mathematics Omid Makhmali Juan Ignacio Restrepo Niky Kamran Henri Darmon McGill University McGill University Mathematics Mathematics Géraldine Martin Sarem Sarem Sabin Lessard Fahima Nekka Université de Montréal Université de Montréal Mathematics (applied mathematics option) Pharmaceutical sciences Jérôme Morin-Drouin Robin Sirois-Miron Robert G. Owens Abraham Broer Université de Montréal Université de Montréal Mathematics (applied mathematics option) Mathematics (pure mathematics option) Frédéric Picard Neda Zare Ney Ney David Haziza Anne Bourlioux Université de Montréal Université de Montréal Statistics Mathematics (applied mathematics option)
99 Governance and Scientific Guidance G S G
CRM structure consists of a Board of Directors, an Assembly of Members, an International Scientific Ad- T visory Commiee, a Local Scientific Commiee, an Executive Commiee, and a Commiee of Directors of Laboratories. In 2009–2010, the members of the Local Scientific Commiee were Steven P. Boyer (Univer- sité 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 Commiee 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); • e Vice-Principal, Research, of each of the main • A member of the Executive Commiee nominated partner universities of the CRM, or his representa- by the Board for a two-year mandate; tive; • Two regular members nominated by the Assembly • A Vice-Principal, Research, of one of the other part- for three-year mandates, normally renewable once; ner universities of the CRM, chosen by these univer- • A Laboratory Director, nominated by the Commiee sities on a rotating basis for a two-year mandate. of Directors of Laboratories for a two-year mandate, normally renewable once;
Here are the members of the Board of Directors for 2009–2010.
Jacques Beauvais, Vice-Rector (Research) Joseph Hubert, Vice-Rector (Research) Université de Sherbrooke Université de Montréal Guy Berthiaume, Vice-Rector (Research) Yves Mauffette, Vice-Rector (Research) Université du ébec à Montréal Université du ébec à Montréal (until June 30, 2009) (from July 1st, 2009) Olivier Collin Robert Owens Université du ébec à Montréal Université de Montréal Louise Dandurand, Vice-President (Research) Rima Rozen, Vice-Principal (Research) Concordia University McGill University Andrew Granville (from April 1st, 2010) Université de Montréal Peter Russell, Director of the CRM John Harnad McGill University Concordia University Denis érien, Vice-Principal (Research) McGill University (until March 31, 2010)
Chantal David (Concordia University) and Odile Marcotte (Université du ébec à Montréal), Deputy Directors of the CRM, were invited members.
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International Scientific Advisory Commiee
e International Scientific Advisory Commiee consists of distinguished researchers from Canada and abroad. Its members are either mathematicians or scientists with close ties to the mathematical sciences. e Advisory Commiee is kept informed regularly of the activities of the Centre through the Director. e Commiee makes recommendations about the general scientific orientations of the CRM and gives advice about proposed scientific activities.
James Berger is the Arts and Mark L. Green has been a pro- Sciences Professor of Statistics fessor at the UCLA Department of at the Institute of Statistics and Mathematics since 1982. He re- Decision Sciences of Duke Uni- ceived his Ph.D. from Princeton in versity and Director of the Sta- 1972. He was Director of the In- tistical and Applied Mathemat- stitute for Pure and Applied Math- ical Sciences Institute (SAMSI). ematics from 2001 to 2008. Mark He received a Ph.D. in mathe- Green has received numerous hon- matics from Cornell University in 1974 and is a past ours during his career. In particular, he was an in- recipient of the Guggenheim and Sloan Fellowships. vited speaker at the International Congress of Mathe- He was elected to the National Academy of Sciences maticians in Berlin in 1998. He was a plenary speaker in 2003. His research has primarily been in Bayesian at the Abel Centennial held in Oslo in 2002 and the statistics, foundations of statistics, statistical decision Hodge Centennial held in Edinburgh in 2003. Pro- theory, simulation, model selection, and various inter- fessor Green’s services to the mathematical commu- disciplinary areas of science and industry. He has su- nity are extensive. He was a member of the Board of pervised 30 Ph.D. dissertations, published over 140 ar- Trustees at the Claremont Center for the Mathemati- ticles, and wrien or edited 13 books or special vol- cal Sciences and a member of the Board of Directors umes. of the Center for Mathematics and Teaching. Profes- Mark Goresky has been a sor Green also served on the NSERC Major Resources member of the Institute for Support Commiee and was the editor of the Journal Advanced Study in Princeton of Algebraic Geometry. His research interests are in since 1994. He received his commutative algebra, algebraic geometry, and applied B.Sc. from the University of mathematics. British Columbia in 1971 and Alice Guionnet is directrice a Ph.D. from Brown University de recherche at the CNRS and in 1976. In 1986, he was elected teaches at the École normale to the Royal Society of Canada. supérieure de Lyon. She He was awarded the Jeffery- received a Ph.D. from Uni- Williams Prize of the Canadian Mathematical Society versité Paris-Sud 11 in 1995. in 1996 and the Steele Prize of the American Mathe- In 1999 she was awarded matical Society in 2002 (jointly with R. MacPherson). the Oberwolfach Prize (for a He was a member of the editorial board of the Cana- young European mathematician under 35 years of age) dian Journal of Mathematics from 1997 to 2000 and is and in 2009 she received the Loève Prize in Probabil- currently a member of the editorial board of the Bul- ity. She was an invited speaker at ICIAM 2003 and ICM letin of the American Mathematical Society. He is a 2006. She is a member of the editorial board of Stochas- world expert in geometric representation theory. tic Processes and their Applications and editor-in-chief of the Annales de l’Institut Henri Poincaré. Her research interests focus mainly on probability theory in relation to mathematical physics.
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Barbara Lee Keyfitz has been a geometry. Since the 1970s Professor Russell has been professor at Ohio State University active in affine algebraic geometry, which around that since January 2009. She served as time became recognized as a full-fledged subdiscipline Director of the Fields Institute for of mathematics with close links to algebra, algebraic the Mathematical Sciences from geometry, and topology. 2004 to 2008. From 2000 to 2008, Catherine Sulem is a Professor she was John and Rebecca Moores in the Department of Mathemat- Professor of Mathematics at the ics of the University of Toronto. University of Houston, which she joined in 1987, fol- She received a doctorat d’État lowing appointments at Columbia, Princeton, and Ari- from the Université de Paris- zona State University. She studied at the Univer- Nord in 1983. She was Keynote sity of Toronto and obtained her Ph.D. at the Courant Speaker at IMACS2003 (Inter- Institute (New York University). Barbara Keyfitz is national Association for Mathe- a Fellow of the American Association for the Ad- matics and Computers in Simulation) and an invited vancement of Science and the recipient of the 2005 speaker at a meeting of the American Mathemati- Krieger–Nelson Prize of the Canadian Mathematical cal Society in 1999. In 1998, she was awarded the Society. She serves as Treasurer of the International Krieger–Nelson Prize by the Canadian Mathematical Council of Industrial and Applied Mathematics and has Society. Her research interests are in nonlinear par- been a member of several editorial boards. Her re- tial differential equations arising in physics: nonlinear search interests are in the field of nonlinear partial dif- partial differential equations, nonlinear Schrödinger ferential equations. equations and related systems, the water wave prob- Anthony To-Ming Lau is a Pro- lem, the Boltzmann equation, and computational fluid fessor in the Department of Math- mechanics. Since 2000, she has been an Associate ematics of the University of Al- Editor of the SIAM Journal of Mathematical Analysis. berta and President of the Cana- From 1999 to 2005, she was an Associate Editor of the dian Mathematical Society. He Canadian Journal of Mathematics. holds an undergraduate degree Akshay Venkatesh has been a from Berkeley and a Ph.D. in professor at Stanford University mathematics from the University since September 2008. He obtained of British Columbia. His research is in functional anal- his Ph.D. from Princeton Univer- ysis and harmonic analysis. He is a member of the edi- sity in 2002, was C.L.E. Moore In- torial board of Scientiae Mathematicae Japonicae, the structor at MIT from 2002 to 2004, Journal of Nonlinear and Convex Analysis, and Fixed and a professor at the Courant In- Point eory and Applications. He was awarded many stitute from 2004 to 2008. Akshay prizes and honours, among which the Killam Annual Venkatesh has received many prizes and fellowships Professorship and the Rutherford Award for Excel- since the beginning of his career, in particular the lence in Undergraduate Teaching. Sloan Foundation Fellowship (2007), the Salem Prize Peter Russell obtained his Ph.D. (2007), the David and Lucile Packard Foundation Fel- from UC Berkeley in 1966 under lowship (2007–2012), and the SASTRA Ramanujan the direction of Maxwell Rosen- Prize (2008). In 2010 he was Aisenstadt Chair lecturer licht. Aer spending three years at the CRM, within the framework of the thematic as a Benjamin Pierce Instructor semester on Number eory as Experimental and Ap- at Harvard University, he joined plied Science. His research interests are in number the- the Department of Mathematics ory and automorphic forms, including representation and Statistics at McGill Univer- theory, dynamics on homogeneous spaces, and arith- sity, from which he retired in 2009. He served as chair metic algebraic geometry. of that department from 1988 to 1994 and as director of the Institut des sciences mathématiques in 1995–1996 and from 2000 to 2004. His area of interest is algebraic
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Mary F. Wheeler holds the Ernest Jean-Christophe Yoccoz and Virginia Cockrell Chair in En- is a Professor at the Col- gineering at the University of Texas lège de France where he at Austin where she is also Profes- holds a Chair in Mathemat- sor at the Department of Mathemat- ics (Differential Equations ics. In addition, she is Director of and Dynamical Systems). He the Center for Subsurface Modeling obtained a doctorat d’État of the Texas Institute for Computa- in 1985. He was awarded tional and Applied Mathematics (TICAM) at the same the Fields medal in 1994 and is a member of the university. She obtained her Ph.D. from Rice Univer- Académie des sciences (France), a Chevalier de la Lé- sity. She is currently an editor of six journals and gion d’honneur (1995), and an Officer of the Ordre is Managing Editor of Computational Geosciences. In national du Mérite (2000). His research work concerns 1998, she was elected to the National Academy of En- the theory of dynamical systems and the Julia and gineering. Her research interests include parallel com- Mandelbrot sets. putation and numerical solution of partial differential systems with applications to the modelling of subsur- face and surface flows.
Joseph Hubert, Vice-Rector (Research), Université de Montréal, is an ex-officio member of the International Sci- entific Advisory Commiee. 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 Commiee.
104 CRM Administrative and Support Staff C
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 Guillermo Martinez-Zalce Head of Administration Research Laboratories Administrative Coordinator Muriel Pasqualetti Diane Brulé-De Filippis Administrative Assistant 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
106 Statement of Revenue and Expenditures for the Fiscal Year Ending on May 31, 2010 C ) 6,000 3,335 1,382 90,000 74,382 30,000 15,000 48,000 46,740 38,188 28,500 18,036 78,587 66,125 49,334 297,500 150,000 100,000 179,825 1,805,000 Total 3,125,934 — — — — — — — — — — — — — — — — — — 1,000 continued on next page 49,334 50,334 ( sources Internal — — — — — — — — — — — — — 6,000 38,188 28,500 18,036 78,587 66,125 179,825 415,261 Partners & Researchers — — — — — — — — — — — — — — — — — — — 3,335 3,335 From Funds Endowment — — — — — — — — — — — — — — 90,000 74,382 30,000 15,000 150,000 100,000 459,382 Other partner universities — — — — — — — — — — — — — — — — — — 382 297,500 297,882 Université de Montréal — — — — — — — — — — — — — — — — — — 46,740 605,000 651,740 FQRNT — — — — — — — — — — — — — — — — — — 48,000 1,200,000 1,248,000 NSERC REVENUE Operating and Infrastructure grants Université de Montréal Grant Université du ébec à MontréalMcGill Grant University Grant Concordia University Grant Université Laval Grant University of Oawa Grant Université de Sherbrooke Grant Equipment grant FQRNT grants for international internships Grants National Science Foundation (USA) Contribution from MITACS Ministère des relations internationales duContributions ébec to Colloquia (ISM &Other GERAD) contributions (conferences & workshops) ISM Contributions for postdoctoral fellowships Matching contributions for postdoctoral fellowships Aisenstadt & Bissonnee Endowments Registration & publications Other TOTAL REVENUE
108 S R E F Y E M 31, 2010 ) 4,792 7,500 3,320 5,000 6,739 4,222 13,529 20,500 21,529 27,250 71,474 65,644 31,633 46,740 13,596 10,059 97,174 106,637 140,666 147,488 201,059 226,599 375,488 128,639 197,164 166,510 217,976 807,566 750,466 118,633 107,326 229,483 Total 2,896,452 — — — — — — — — — — — — — — 178 728 728 609 609 141 4,187 2,613 6,096 7,500 1,035 4,222 1,932 continued on next page 11,503 11,682 17,634 18,852 58,378 ( (8,044) sources Internal — — — — — — — — — — — — — — — — — — — — — — — 221 22,408 22,408 34,002 34,002 60,311 52,590 (1,021) 246,750 416,282 Partners & Researchers — — — — — — — — — — — — — — — — — — — — 865 865 2,227 2,227 4,490 4,490 1,060 1,060 1,190 1,261 17,712 28,805 (25,470) From Funds Endowment — — — — — — — — — — — — — — — — — — — — — — — 30,000 58,727 20,514 26,572 72,946 74,230 28,888 147,504 400,494 430,494 Other partner universities — — — — — — — — — — — — — — — — — — — — — 100 996 959 959 8,333 40,000 49,329 11,059 18,948 107,223 110,265 278,934 Université de Montréal — — — — — — — — — — — 3,927 3,927 2,697 6,917 7,500 5,000 5,279 10,975 10,975 30,523 11,119 90,973 55,552 80,680 30,472 46,740 59,240 17,809 275,712 272,828 678,991 (27,251) FQRNT — — — — — — — — — 148 5,000 1,225 5,780 1,757 20,500 72,725 93,373 21,529 27,250 12,000 96,125 60,333 11,600 76,933 10,059 17,063 75,043 112,759 161,538 100,320 370,416 243,432 1,004,568 NSERC th α Total ematic Semester: Summer – Fall 2009 Total ematic Semester: Winter – Spring 2010 Total RESEARCH LABORATORIES Total Other scientific expenses EXPENDITURES SCIENTIFIC PROGRAM — CENTRE ematic Semester 2009: Mathematic ProblemsAisenstadt in Chairs Imaging Science ematic postdoctoral fellows Workshops ematic Semester 2010: Number eoryAisenstadt as Chair Experimental Science Invited researchers ematic postdoctoral fellows Workshops & advanced courses General Program Industrial/Multidisciplinary Program Postdoctoral fellows & students SCIENTIFIC PROGRAM — RESEARCH LABORATORIES Course release Visiting researchers Workshops, seminars Postdoctoral fellows Students Administrative and technical support Other scientific expenses FQRNT international graduate internships Course releases Posters and publicity for activities Accrom Joint Math Institutes Open HouseSMAC/AQJM 2010 Bulletin du CRM, annual report Authors royalties Personnel (non-academic excluding Laboratories) Academic management, committees, networking Operating and computing costs TOTAL EXPENDITURES 2009 – 2010 YEAR-END BALANCE
109 C 22,976 403,988 229,483 656,447 Total 9,208 (8,044) 147,018 148,183 sources Internal 17,713 (3,501) (1,021) 13,191 Partners & Researchers 13,511 112,232 (25,470) 100,274 From Funds Endowment — — 28,888 (28,888) Other partner universities 2,732 18,948 (5,368) 16,312 Université de Montréal 9,330 83,083 65,161 (27,251) FQRNT 49,309 20,584 243,432 313,325 NSERC CUMULATIVE YEAR-END BALANCES Amount available on June 1, 2009 Changes in receivables, payables and reserves 2009 – 2010 year-end balance Amount available on May 31, 2010
110 Mandate of the CRM C
Centre de recherches mathématiques (CRM) is ment in theoretical and mathematical physics, and T one of the first and foremost institutes of mathe- the CRM – SSC Prize for exceptional contributions to matical research in the world. Indeed it was the first in- statistics in early career, ternational institute to introduce the famous thematic • it publishes technical reports and about ten books programs (in 1984, at the same time as MSRI). ese per year (and some of its collections are published programs were created independently by the two in- jointly 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 aer 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 newsleer, Le Bulletin du CRM, and its web site at mathematics, they are now much broader and include crm.umontreal.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 Centre de recherches mathématiques was created stitutes sponsor the Annual Meetings of the Math- in 1969 by the Université de Montréal through a special ematical Sciences Societies (CMS, SSC, CAIMS), the grant from the National Research Council of Canada. development of the mathematical sciences in the At- It became an NSERC national research centre in 1984. lantic provinces through AARMS, and other activ- It is currently funded by NSERC (Natural Sciences and ities organized outside the three institutes. ey Engineering Research Council of Canada), by the Gov- also participate in the National Institute for Complex ernment of ébec through the FQRNT (Fonds qué- Data Structures, created jointly with the Canadian bécois de la recherche sur la nature et les technolo- statistical community. gies), by the Université de Montréal, as well as McGill is national mandate is complemented by, and indeed University, Université du ébec à Montréal, Concor- supported by, a long-standing vocation of promoting dia University, University of Oawa, Université Laval, 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, e CRM carries on its mission and national mandate • it supports, through partnership agreements, a in several ways: group of local researchers chosen mainly from de- • it organizes each year a series of scientific events on partments of mathematics and statistics, but also a specific theme (high-profile lectures, workshops, computer science, physics, economics, engineering, summer schools, etc.), etc., • its general program and its multidisciplinary and in- • it organizes series of regular seminars and lecture dustrial program provide funding for conferences courses on different areas of the mathematical sci- and special events at the CRM and across the coun- ences, try, • it sponsors joint activities with the ISM (Institut • each year it invites, through the Aisenstadt Chair, des sciences mathématiques) including the weekly one or more distinguished mathematicians, to give CRM – ISM colloquium, graduate courses offered by advanced courses as part of its thematic program, distinguished visitors, and a program of postdoctoral • it awards four prizes yearly: the CRM – Fields – fellowships, PIMS Prize recognizing major contributions to math- • it works actively at developing contacts with indus- ematics, the Aisenstadt Prize given for outstanding try. Its joint activities with liaison and research cen- work carried out by a young Canadian mathemati- tres (CIRANO, CRIM, and MITACS) and research cian, the CAP – CRM Prize for exceptional achieve- centres doing applied research (CIRRELT, GERAD,
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INRS-EMT, and Inserm) led to the creation of in- nistre de l’Éducation, du Loisir et du Sport (in 2008), dustrial networks. e most recent ones involved, and the Grandes Conférences du CRM, which allow a in 2004 – 2005, Bombardier Aerospace and the Brain broad public to aend lectures by outstanding interna- Imaging Unit CRM – IUGM – Inserm. tional 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 Commiee. e Advi- organizers. It also supports many events taking place sory Commiee 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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