Annualreport 2009 2010

Total Page:16

File Type:pdf, Size:1020Kb

Annualreport 2009 2010 C CENTRE R DERECHERCHES M MATHÉMATIQUES AnnualReport 2009 2010 . 1 C 2 C CENTRE R DERECHERCHES M MATHÉMATIQUES AnnualReport 2009 2010 . 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 3 C 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,
Recommended publications
  • Report for the Academic Year 1995
    Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1994 - 95 PRINCETON NEW JERSEY Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 994 - 95 OLDEN LANE PRINCETON • NEW JERSEY 08540-0631 609-734-8000 609-924-8399 (Fax) Extract from the letter addressed by the Founders to the Institute's Trustees, dated June 6, 1930. Newark, New jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4 BACKGROUND AND PURPOSE 5 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 8 • ADMINISTRATION 11 REPORT OF THE CHAIRMAN 15 REPORT OF THE DIRECTOR 23 • ACKNOWLEDGMENTS 27 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 36 • REPORT OF THE SCHOOL OF MATHEMATICS ACADEMIC ACTIVITIES MEMBERS AND VISITORS 42 • REPORT OF THE SCHOOL OF NATURAL SCIENCES ACADEMIC ACTIVITIES MEMBERS AND VISITORS 50 • REPORT OF THE SCHOOL OF SOCIAL SCIENCE ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 55 • REPORT OF THE INSTITUTE LIBRARIES 57 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1994-95 85 • INDEPENDENT AUDITORS' REPORT INSTITUTE FOR ADVANCED STUDY: BACKGROUND AND PURPOSE The Institute for Advanced Study is an independent, nonprofit institution devoted to the encouragement of learning and scholarship.
    [Show full text]
  • Ζ−1 Using Theorem 1.2
    UC San Diego UC San Diego Electronic Theses and Dissertations Title Ihara zeta functions of irregular graphs Permalink https://escholarship.org/uc/item/3ws358jm Author Horton, Matthew D. Publication Date 2006 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California UNIVERSITY OF CALIFORNIA, SAN DIEGO Ihara zeta functions of irregular graphs A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by Matthew D. Horton Committee in charge: Professor Audrey Terras, Chair Professor Mihir Bellare Professor Ron Evans Professor Herbert Levine Professor Harold Stark 2006 Copyright Matthew D. Horton, 2006 All rights reserved. The dissertation of Matthew D. Horton is ap- proved, and it is acceptable in quality and form for publication on micro¯lm: Chair University of California, San Diego 2006 iii To my wife and family Never hold discussions with the monkey when the organ grinder is in the room. |Sir Winston Churchill iv TABLE OF CONTENTS Signature Page . iii Dedication . iv Table of Contents . v List of Figures . vii List of Tables . viii Acknowledgements . ix Vita ...................................... x Abstract of the Dissertation . xi 1 Introduction . 1 1.1 Preliminaries . 1 1.2 Ihara zeta function of a graph . 4 1.3 Simplifying assumptions . 8 2 Poles of the Ihara zeta function . 10 2.1 Bounds on the poles . 10 2.2 Relations among the poles . 13 3 Recovering information . 17 3.1 The hope . 17 3.2 Recovering Girth . 18 3.3 Chromatic polynomials and Ihara zeta functions . 20 4 Relations among Ihara zeta functions .
    [Show full text]
  • Institut Des Hautes Ét Udes Scientifiques
    InstItut des Hautes É t u d e s scIentIfIques A foundation in the public interest since 1981 2 | IHES IHES | 3 Contents A VISIONARY PROJECT, FOR EXCELLENCE IN SCIENCE P. 5 Editorial P. 6 Founder P. 7 Permanent professors A MODERN-DAY THELEMA FOR A GLOBAL SCIENTIFIC COMMUNITY P. 8 Research P. 9 Visitors P. 10 Events P. 11 International INDEPENDENCE AND FREEDOM, ­­ THE INSTITUTE’S TWO OPERATIONAL PILLARS P. 12 Finance P. 13 Governance P. 14 Members P. 15 Tax benefits The Marilyn and James Simons Conference Center The aim of the Foundation known as ‘Institut des Hautes Études Scientifiques’ is to enable and encourage theoretical scientific research (…). [Its] activity consists mainly in providing the Institute’s professors and researchers, both permanent and invited, with the resources required to undertake disinterested IHES February 2016 Content: IHES Communication Department – Translation: Hélène Wilkinson – Design: blossom-creation.com research. Photo Credits: Valérie Touchant-Landais / IHES, Marie-Claude Vergne / IHES – Cover: unigma All rights reserved Extract from the statutes of the Institut des Hautes Études Scientifiques, 1958. 4 | IHES IHES | 5 A visionary project, for excellence in science Editorial Emmanuel Ullmo, Mathematician, IHES Director A single scientific program: curiosity. A single selection criterion: excellence. The Institut des Hautes Études Scientifiques is an international mathematics and theoretical physics research center. Free of teaching duties and administrative tasks, its professors and visitors undertake research in complete independence and total freedom, at the highest international level. Ever since it was created, IHES has cultivated interdisciplinarity. The constant dialogue between mathematicians and theoretical physicists has led to particularly rich interactions.
    [Show full text]
  • For Digital Simulation and Advanced Computation 2002 Annual Research Report
    for Digital Simulation and Advanced Computation 2002 Annual Research Report 2002 Annual Research Report of the Supercomputing Institute for Digital Simulation and Advanced Computation Visit us on the Internet: www.msi.umn.edu Supercomputing Institute for Digital Simulation and Advanced Computation University of Minnesota 599 Walter 117 Pleasant Street SE Minneapolis, Minnesota 55455 ©2002 by the Regents of the University of Minnesota. All rights reserved. This report was prepared by Supercomputing Institute researchers and staff. Editor: Tracey Bartlett This information is available in alternative formats upon request by individuals with disabilities. Please send email to [email protected] or call (612) 625-1818. The University of Minnesota is committed to the policy that all persons shall have equal access to its programs, facilities, and employment without regard to race, color, creed, religion, national origin, sex, age, marital status, disability, public assistance status, veteran status, or sex- ual orientation. contains a minimum of 10% postconsumer waste Table of Contents Introduction Supercomputing Resources Overview....................................................................................................................................2 Supercomputers ........................................................................................................................3 Research Laboratories and Programs ......................................................................................5 Supercomputing Institute
    [Show full text]
  • Biographical Sketch of Jean Bourgain Born
    Biographical Sketch of Jean Bourgain Born: February 28, 1954 in Ostende, Belgium Citizenship: Citizen of Belgium Education: 1977 - Ph.D., Free University of Brussels 1979 - Habilitation Degree, Free University of Brussels Appointments: Research Fellowship in Belgium NSF (NFWO), 1975-1981 Professor at Free University of Brussels, 1981-1985 J.L. Doob Professor of Mathematics, University of Illinois, 1985-2006 Professor a IHES (France), 1985-1995 Lady Davis Professor of Mathematics, Hebrew University of Jerusalem, 1988 Fairchild Distinguished Professor, Caltech, 1991 Professor IAS, 1994- IBM, Von Neumann Professor IAS, 2010– Honors: Alumni Prize, Belgium NSF, 1979 Empain Prize, Belgium NSF, 1983 Salem Prize, 1983 Damry-Deleeuw-Bourlart Prize (awarded by Belgian NSF), 1985 (quintesimal Belgian Science Prize) Langevin Prize (French Academy), 1985 E. Cartan Prize (French Academy), 1990 (quintesimal) Ostrowski Prize, Ostrowski Foundation (Basel-Switzerland), 1991 (biannual) Fields Medal, ICM Zurich, 1994 I.V. Vernadski Gold Medal, National Academy of Sciences of Ukraine, 2010 Shaw Prize, 2010 Crafoord Prize 2012, The Royal Swedish Academy of Sciences Dr. H.C. Hebrew University, 1991 Dr. H.C. Universit´eMarne-la-Vallee (France), 1994 Dr. H.C. Free University of Brussels (Belgium), 1995 Associ´eEtranger de l’Academie des Sciences, 2000 Foreign Member of the Polish Academy, 2000 Foreign Member Academia Europaea, 2008 Foreign Member Royal Swedish Academy of Sciences, 2009 Foreign Associate National Academy of Sciences, 2011 International Congress of Mathematics, Warsaw (1983), Berkeley (1986), Zurich (1994) - plenary International Congress on Mathematical Physics, Paris (1994), Rio (2006) - plenary 1 European Mathematical Congress, Paris (1992), Amsterdam (2008) - plenary Lecture Series: A. Zygmund Lectures, Univ.
    [Show full text]
  • Mechanical Aspire
    Newsletter Volume 6, Issue 11, November 2016 Mechanical Aspire Achievements in Sports, Projects, Industry, Research and Education All About Nobel Prize- Part 35 The Breakthrough Prize Inspired by Nobel Prize, there have been many other prizes similar to that, both in amount and in purpose. One such prize is the Breakthrough Prize. The Breakthrough Prize is backed by Facebook chief executive Mark Zuckerberg and Google co-founder Sergey Brin, among others. The Breakthrough Prize was founded by Brin and Anne Wojcicki, who runs genetic testing firm 23andMe, Chinese businessman Jack Ma, and Russian entrepreneur Yuri Milner and his wife Julia. The Breakthrough Prizes honor important, primarily recent, achievements in the categories of Fundamental Physics, Life Sciences and Mathematics . The prizes were founded in 2012 by Sergey Brin and Anne Wojcicki, Mark Zuckerberg and Priscilla Chan, Yuri and Julia Milner, and Jack Ma and Cathy Zhang. Committees of previous laureates choose the winners from candidates nominated in a process that’s online and open to the public. Laureates receive $3 million each in prize money. They attend a televised award ceremony designed to celebrate their achievements and inspire the next generation of scientists. As part of the ceremony schedule, they also engage in a program of lectures and discussions. Those that go on to make fresh discoveries remain eligible for future Breakthrough Prizes. The Trophy The Breakthrough Prize trophy was created by Olafur Eliasson. “The whole idea for me started out with, ‘Where do these great ideas come from? What type of intuition started the trajectory that eventually becomes what we celebrate today?’” Like much of Eliasson's work, the sculpture explores the common ground between art and science.
    [Show full text]
  • Asian Nobel Prize' for Mapping the Universe 27 May 2010
    Scientists win 'Asian Nobel Prize' for mapping the universe 27 May 2010 Three US scientists whose work helped map the category. universe are among the recipients of the one- million-US-dollar Shaw Prize, known as the "Asian (c) 2010 AFP Nobel," the competition's organisers said Thursday. Princeton University professors Lyman Page and David Spergel and Charles Bennett of Johns Hopkins University, won the award for an experiment that helped to determine the "geometry, age and composition of the universe to unprecedented precision." The trio will share the Shaw Prize's award for astronomy, with one-million-US-dollar prizes also awarded in the categories for mathematical sciences and life sciences and medicine. The University of California's David Julius won the award for life sciences and medicine for his "seminal discoveries" of how the skin senses pain and temperature, the organisers' statement said. "(Julius's) work has provided insights into fundamental mechanisms underlying the sense of touch as well as knowledge that opens the door to rational drug design for the treatment of chronic pain," the statement said. Princeton's Jean Bourgain won an award for his "profound work" in mathematical sciences, it said. The Shaw Prize, funded by Hong Kong film producer and philanthropist Run Run Shaw and first awarded in 2004, honours exceptional contributions "to the advancement of civilization and the well-being of humankind." The awards will be presented at a ceremony in Hong Kong on September 28. Last year, two scientists whose work challenged the assumption that obesity is caused by a lack of will power won the life sciences and medicine 1 / 2 APA citation: Scientists win 'Asian Nobel Prize' for mapping the universe (2010, May 27) retrieved 27 September 2021 from https://phys.org/news/2010-05-scientists-asian-nobel-prize-universe.html This document is subject to copyright.
    [Show full text]
  • Ihara Zeta Functions
    Audrey Terras 2/16/2004 fun with zeta and L- functions of graphs Audrey Terras U.C.S.D. February, 2004 IPAM Workshop on Automorphic Forms, Group Theory and Graph Expansion Introduction The Riemann zeta function for Re(s)>1 ∞ 1 −1 ζ ()sp== 1 −−s . ∑ s ∏ () n=1 n pprime= Riemann extended to all complex s with pole at s=1. Functional equation relates value at s and 1-s Riemann hypothesis duality between primes and complex zeros of zeta See Davenport, Multiplicative Number Theory. 1 Audrey Terras 2/16/2004 Graph of |Zeta| Graph of z=| z(x+iy) | showing the pole at x+iy=1 and the first 6 zeros which are on the line x=1/2, of course. The picture was made by D. Asimov and S. Wagon to accompany their article on the evidence for the Riemann hypothesis as of 1986. A. Odlyzko’s Comparison of Spacings of Zeros of Zeta and Eigenvalues of Random Hermitian Matrix. See B. Cipra, What’s Happening in Math. Sciences, 1998-1999. 2 Audrey Terras 2/16/2004 Dedekind zeta of an We’ll algebraic number field F, say where primes become prime more ideals p and infinite product of about number terms field (1-Np-s)-1, zetas Many Kinds of Zeta Np = norm of p = #(O/p), soon O=ring of integers in F but not Selberg zeta Selberg zeta associated to a compact Riemannian manifold M=G\H, H = upper half plane with arc length ds2=(dx2+dy2)y-2 , G=discrete group of real fractional linear transformations primes = primitive closed geodesics C in M of length −+()()sjν C ν(C), Selberg Zs()=− 1 e (primitive means only go Zeta = ∏ ∏( ) around once) []Cj≥ 0 Reference: A.T., Harmonic Analysis on Symmetric Duality between spectrum ∆ on M & lengths closed geodesics in M Spaces and Applications, I.
    [Show full text]
  • Mathematics Calendar
    Mathematics Calendar Please submit conference information for the Mathematics Calendar through the Mathematics Calendar submission form at http:// www.ams.org/cgi-bin/mathcal-submit.pl. The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. June 2014 Information: http://www.tesol.org/attend-and-learn/ online-courses-seminars/esl-for-the-secondary- 1–7 Modern Time-Frequency Analysis, Strobl, Austria. (Apr. 2013, mathematics-teacher. p. 429) * 2–30 Algorithmic Randomness, Institute for Mathematical Sciences, 2–5 WSCG 2014 - 22nd International Conference on Computer National University of Singapore, Singapore. Graphics, Visualization and Computer Vision 2014, Primavera Description: Activities 1. Informal Collaboration: June 2–8, 2014. 2. Hotel and Congress Centrum, Plzen (close to Prague), Czech Repub- Ninth International Conference on Computability, Complexity and lic. (Jan. 2014, p. 90) Randomness (CCR 2014): June 9–13, 2014. The conference series 2–6 AIM Workshop: Descriptive inner model theory, American “Computability, Complexity and Randomness” is centered on devel- Institute of Mathematics, Palo Alto, California. (Mar. 2014, p. 312) opments in Algorithmic Randomness, and the conference CCR 2014 2–6 Computational Nonlinear Algebra, Institute for Computational will be part of the IMS programme. The CCR has previously been held and Experimental Research in Mathematics, (ICERM), Brown Univer- in Cordoba 2004, in Buenos Aires 2007, in Nanjing 2008, in Luminy sity, Providence, Rhode Island. (Nov. 2013, p. 1398) 2009, in Notre Dame 2010, in Cape Town 2011, in Cambridge 2012, and in Moscow 2013; it will be held in Heidelberg 2015. 3. Informal 2–6 Conference on Ulam’s type stability, Rytro, Poland.
    [Show full text]
  • Spring 2014 Fine Letters
    Spring 2014 Issue 3 Department of Mathematics Department of Mathematics Princeton University Fine Hall, Washington Rd. Princeton, NJ 08544 Department Chair’s letter The department is continuing its period of Assistant to the Chair and to the Depart- transition and renewal. Although long- ment Manager, and Will Crow as Faculty The Wolf time faculty members John Conway and Assistant. The uniform opinion of the Ed Nelson became emeriti last July, we faculty and staff is that we made great Prize for look forward to many years of Ed being choices. Peter amongst us and for John continuing to hold Among major faculty honors Alice Chang Sarnak court in his “office” in the nook across from became a member of the Academia Sinica, Professor Peter Sarnak will be awarded this the common room. We are extremely Elliott Lieb became a Foreign Member of year’s Wolf Prize in Mathematics. delighted that Fernando Coda Marques and the Royal Society, John Mather won the The prize is awarded annually by the Wolf Assaf Naor (last Fall’s Minerva Lecturer) Brouwer Prize, Sophie Morel won the in- Foundation in the fields of agriculture, will be joining us as full professors in augural AWM-Microsoft Research prize in chemistry, mathematics, medicine, physics, Alumni , faculty, students, friends, connect with us, write to us at September. Algebra and Number Theory, Peter Sarnak and the arts. The award will be presented Our finishing graduate students did very won the Wolf Prize, and Yasha Sinai the by Israeli President Shimon Peres on June [email protected] well on the job market with four win- Abel Prize.
    [Show full text]
  • 3-Manifold Groups
    3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1.
    [Show full text]
  • Meetings & Conferences of The
    Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting. abstract submission form found at http://www.ams.org/ Knoxville, Tennessee cgi-bin/abstracts/abstract.pl. University of Tennessee, Knoxville Algebraic Methods in Graph Theory and Combinator- ics (Code: SS 7A), Felix Lazebnik, University of Delaware, March 21–23, 2014 Andrew Woldar, Villanova University, and Bangteng Xu, Friday – Sunday Eastern Kentucky University. Arithmetic of Algebraic Curves (Code: SS 9A), Lubjana Meeting #1097 Beshaj, Oakland University, Caleb Shor, Western New Eng- Southeastern Section land University, and Andreas Malmendier, Colby College. Associate secretary: Brian D. Boe Commutative Ring Theory (in honor of the retirement Announcement issue of Notices: January 2014 of David E. Dobbs) (Code: SS 1A), David Anderson, Uni- Program first available on AMS website: February 6, 2014 versity of Tennessee, Knoxville, and Jay Shapiro, George Program issue of electronic Notices: March 2014 Mason University. Issue of Abstracts: Volume 35, Issue 2 Completely Integrable Systems and Dispersive Nonlinear Deadlines Equations (Code: SS 12A), Robert Buckingham, University of Cincinnati, and Peter Perry, University of Kentucky. For organizers: Expired Complex Analysis, Probability, and Metric Geometry For abstracts: January 28, 2014 (Code: SS 11A), Matthew Badger, Stony Brook University, Jim Gill, St.
    [Show full text]