DOCSLIB.ORG

Table of Contents

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Table of Contents Table of contents A Word from the Director................................................................................................................2 CRM's 30th Anniversary ...................................................................................................................4 Presenting the CRM.........................................................................................................................6 Personnel..........................................................................................................................................7 Scientific Personnel..........................................................................................................................8 Members 8 Postdoctoral Fellows 9 Visitors 10 Management................................................................................................................................... 12 Bureau 12 Advisory Committee 12 Computer Facilities 13 Scientific Activities........................................................................................................................ 14 Theme Year 1999-2000: Mathematical Physics 14 Aisenstadt Chair 24 General Programme 27 CRM Prizes 34 Members’ Seminars & Special Events 37 CRM-ISM Colloquium 41 World Mathematical Year ............................................................................................................. 42 Coming Events ............................................................................................................................... 44 Theme Year 2000-2001: Mathematical Methods in Biology and Medicine 44 General Programme 2000-2001 48 Theme Year 2001-2002: Groups and Geometry 51 General Programme 2001-2002 55 Theme Year 2002-2003: Mathematical Methods of Computer Science 57 Research Programmes.................................................................................................................... 58 Collaborations ............................................................................................................................... 74 Industrial Mathematics................................................................................................................. 76 Awards, Distinctions, and Landmarks.......................................................................................... 79 Publications................................................................................................................................... 81 Recent Titles 81 Previous Titles 82 Research Reports 85 Financial Report ............................................................................................................................ 88 Financial statements Erreur ! Signet non défini. CRM Annual Report 1999-2000 1 A Word from the Director The years follow each other all too rapidly, and be reported on next year was the three week it seems like only yesterday that I was writing a short programme on asymptotic series, similar page for last year’s report. differential algebra and finiteness problems in non-linear dynamical systems, run by Dana It has been a busy year at the CRM. The centre of Schlomiuk and Luc Bélair. The activity had some our scientific programme for the year was our courses for students, new interactions between thematic programme in Mathematical Physics. mathematicians from different areas, and most The year began with a remarkable Summer importantly, time for that interaction to happen. School, held at the Banff Centre for Conferences. A final thing to make a director happy is that a The theme was “Theoretical Physics at the end of book will be coming out of the workshop, and the Twentieth Century”, and it covered a will be published in a CRM series. remarkably wide variety of interesting areas of theoretical physics, with a range of topics going Speaking of which, our publication section saw a from quantum field theory to quantum major change this year with the departure of computing and protein folding. The very Martin Goldstein as deputy director in charge of breadth of the coverage brought an additional publications. Martin saw the programme bonus, in that the lecturers could not assume develop almost from scratch and his diligence that everybody had intimate knowledge of the and careful encouragement of authors material being presented, allowing relative contributed greatly to its development. amateurs like myself to take in the remarkable Fortunately, Jean Letourneux has agreed to take panorama being presented. The summer school his place, and the programme continues to do also saw what I believe to be a first for a CRM well, with 6 monographs and conference activity, in that two of the participants got proceedings appearing last year. One married during the event. The happy couple noteworthy feature was the purchase by Panjab shared a cake with the participants, and took the University of 200 copies of our edition of rest of the day off. While the more prosaically Sarvadaman Chowla’s collected works for minded might say that this is linked to the distribution throughout India. My thanks also go atmosphere of Banff, I prefer to think that the to the other three deputy directors who helped marriage is mostly due to the extraordinarily me do the work: Jacques Bélair, Yoshua Bengio, stimulating effect of a CRM summer school. and Steven Boyer. With such a beginning, the rest of the year could On the industrial front, the Network for only go well, and indeed it did. My thanks are Computation and Mathematical Modelling due to the organisers of the year: Philippe Di (ncm2) to which the CRM belongs, launched a Francesco, Lisa Jeffrey, André LeClair, Yvan major call for proposals, to which the Saint-Aubin, and Luc Vinet. There were three membership has responded with enthusiasm. series of Aisenstadt lectures, by R. Jackiw, J. Twelve new projects are now being financed, Feldman, and D.H. Phong, as well as 14 and we are starting to see the true cross- workshops. The year closed with a remarkable disciplinary collaboration that is allowed by the two month concentration period on classical and network. One project that summarises much of quantum integrability, organised in a masterful the new interactions is one in “Nowcasting”, fashion by André Leclair. There were two talks which involves not only meteorologists but also per day, and a lot of work and discussion during experts in operations research and economists. the rest of the day, to a point where I have never The cross Canada MITACS network also seen such a “research buzz” at the CRM. finished its first year and a half of operation, and is progressing well, with the first annual general In our general programme, we hosted 4 meeting held in Toronto last May. The CRM is conferences, and contributed to 24 others, the host centre for this year's meeting in including 11 funded through the National Montréal. Programme which is run jointly through the three Canadian Mathematics Institutes. One One of the most striking features over the last particularly successful CRM activity which will year of all of these activities has been the arrival 2 Annual Report 1999-2000 CRM A w o r d f r o m t h e D i r e c t o r of new faces. Considerable changes are awaiting was hired after a postdoctoral fellowship during us over the next few years, as a significant a theme year at the CRM; not being one to do proportion of the Canadian mathematical things by halves, he will be publishing a book professorate retires and is replaced by new with the CRM next spring. I hope this will be faculty. In Montréal alone, the turnover will be repeated, and often. of the order of fifty percent. My own department has hired six new faculty members in the last two years. I am pleased to say that one of them Jacques Hurtubise CRM Annual Report 1999-2000 3 CRM's 30th Anniversary The beginnings coordinate graduate studies in mathematics and The first steps to establish a research centre in statistics and to facilitate student exchanges. mathematics at Université de Montréal were Since then, many research and training activities, undertaken in 1968. As was previously done in such as the funding of postdoctoral fellows, and many other countries, Canada was looking for a a weekly colloquium, are jointly organized by way to develop a research infrastructure that CRM and ISM. would allow researchers throughout Canada and the rest of the world to meet to create new New Initiatives mathematics. The visionary leadership of its Luc Vinet followed as director during a critical founders, a start-up grant from the National period when NSERC's programme funding Research Council (NRC), and the generosity of CRM and Fields Institute was to be cancelled. Université de Montréal led to the founding of Under his leadership, CRM not only survived, CRM, the first research centre in mathematics in but it grew considerably. Along with the other Canada. research centres in mathematical sciences of the CRM owes much of its success to the scientific Montréal area, CRM created the Network for and leadership qualities of its Directors. Maurice Computing and Mathematical Modelling (ncm2). L'Abbé was the first Director. The Salon where Also, CRM, Fields Institute, and PIms joined most of the CRM receptions take place is named forces to create the MITACS Network of Centres in his honour. Because of his numerous other of Excellence. All these initiatives offer responsibilities, he was soon followed by tremendous new possibilities for all researchers Jacques St-Pierre. Over the years, they were in the mathematical
Load more

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]
  • The Largest Gathering of Hedge Fund of Funds & Their Investors in The
    Leading Investors Sheila Healy Berube, 3M Company Karin E. Brodbeck, Nestlé Business Services Craig R. Dandurand, CalPERS Joel Katzman New opportunities for managers & Kevin E. Lynch, Verizon Investment Management Corp allocators to meet, one-on-one, via the Maurice E. Maertens, New York University “Manager & Allocators’Access Platform” Donald Pierce, San Bernardino County Employees see p 13 for details Retirement Association Mario Therrien, Caisse De Dépôt Et Placement Du Québec David W Wiederecht, GE Asset Management Incorporated Salim A. Shariff, Weyerhaeuser Company Retirement Plan Leading Consultants Janine Baldridge, Russell Investment Group Alan H. Dorsey, CRA RogersCasey Tim Jackson, Rocaton Investment Advisors J. Alan Lenahan, Fund Evaluation Group Kevin P. Quirk, Casey, Quirk & Associates Leading Hedge Fund of Funds Mustafa Jama, Morgan Stanley September 18-20, 2006 • Pier Sixty • New York, NY Carrie A. McCabe, FRM Research LLC George H. Walker, Goldman Sachs & Co Thomas Strauss, Ramius HVB Partners, LLC The largest gathering of Hedge Fund of Funds Judson P. Reis, Sire Management Corporation Charles M. Johnson, III, Private Advisors, LLC R. Kelsey Biggers, K2 Advisors & their investors in the USA in 2006 Kent A. Clark, Goldman Sachs Hedge Fund Strategies (HFS) Madhav Misra, AllianceHFP Michael F. Klein, Aetos Capital At GAIM USA Fund of Funds 2006: Jerry Baesel, Morgan Stanley Alternative Investment Partners I The largest, most senior gathering of hedge fund of I Over 20 hand picked, out-performing niche hedge fund Stuart Leaf, Cadogan Management, LLC fund leaders in the US, including: of funds discussing how they are generating alpha and Jean Karoubi, The Longchamp Group differentiating themselves in a crowded space Robert A.
    [Show full text]
  • Joel Feldman
    Essay‐Contest 2017/18 Lukas Lanik, International School Kufstein, 9. Schulstufe, Fremdsprachenerwerb: 5 Jahre Joel Feldman Physics, mathematics and computer science belong to my favourite subjects in school and are definitely sciences that I would like to study at university. That is why I think the work and research that Joel Feldman does is really interesting. He is a mathematician and a mathematical physicist. He did his bachelor’s degree in 1970 at the University of Toronto and his masters and PhD at Harvard University in 1971 and 1974. He has made important contributions to quantum field theory, many‐body theory, Schrödinger operator theory, the theory of infinite genus Riemann surfaces and on Fermi liquids. His research on Fermi liquids and infinite genus Riemann surfaces was done in collaboration with Horst Knörrer and Eugene Trubowitz. Over the years professor Feldman won many prizes because of his outstanding contributions in Mathematics and Theoretical Physics and is a part of the Royal Society of Canada. In 1996 he won the John L. Synge Award, in 2004 he won the Jeffery‐ Williams Prize and in 2007 he won the CRM‐Fields‐PIMS Prize together with CAP‐CRM in Theoretical and Mathematical Physics. But why are contributions to research in physics so important? How do they help to push humanity forward? Physics helps us understand the nature of the universe. It helps us understand why certain things work the way they work. Take, for example, the European robin. At first glance, it seems like an ordinary bird. But once we start asking how is it possible that during winter the bird is able to find its way to southern Europe and back, things start to get weird, because the answer to this question lies in the mysterious realm of quantum mechanics.
    [Show full text]
  • The Bibliography
    Referenced Books [Ach92] N. I. Achieser. Theory of Approximation. Dover Publications Inc., New York, 1992. Reprint of the 1956 English translation of the 1st Rus- sian edition; the 2nd augmented Russian edition is available, Moscow, Nauka, 1965. [AH05] Kendall Atkinson and Weimin Han. Theoretical Numerical Analysis: A Functional Analysis Framework, volume 39 of Texts in Applied Mathe- matics. Springer, New York, second edition, 2005. [Atk89] Kendall E. Atkinson. An Introduction to Numerical Analysis. John Wiley & Sons Inc., New York, second edition, 1989. [Axe94] Owe Axelsson. Iterative Solution Methods. Cambridge University Press, Cambridge, 1994. [Bab86] K. I. Babenko. Foundations of Numerical Analysis [Osnovy chislennogo analiza]. Nauka, Moscow, 1986. [Russian]. [BD92] C. A. Brebbia and J. Dominguez. Boundary Elements: An Introductory Course. Computational Mechanics Publications, Southampton, second edition, 1992. [Ber52] S. N. Bernstein. Collected Works. Vol. I. The Constructive Theory of Functions [1905–1930]. Izdat. Akad. Nauk SSSR, Moscow, 1952. [Russian]. [Ber54] S. N. Bernstein. Collected Works. Vol. II. The Constructive Theory of Functions [1931–1953]. Izdat. Akad. Nauk SSSR, Moscow, 1954. [Russian]. [BH02] K. Binder and D. W. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction, volume 80 of Springer Series in Solid-State Sciences. Springer-Verlag, Berlin, fourth edition, 2002. [BHM00] William L. Briggs, Van Emden Henson, and Steve F. McCormick. A Multigrid Tutorial. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, second edition, 2000. [Boy01] John P. Boyd. Chebyshev and Fourier Spectral Methods. Dover Publi- cations Inc., Mineola, NY, second edition, 2001. [Bra84] Achi Brandt. Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, volume 85 of GMD-Studien [GMD Studies].
    [Show full text]
  • Vorticity and Incompressible Flow - Andrew J
    Cambridge University Press 0521630576 - Vorticity and Incompressible Flow - Andrew J. Majda and Andrea L. Bertozzi Frontmatter More information Vorticity and Incompressible Flow This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. Although the contents center on mathematical theory, many parts of the book showcase the interactions among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow. Andrew J. Majda is the Samuel Morse Professor of Arts and Sciences at the Courant Institute of Mathematical Sciences of New York University. He is a member of the National Academy of Sciences and has received numerous honors and awards includ- ing the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the American Mathematical Society and an honorary Ph.D. degree from Purdue University. Majda is well known for both his theoretical contributions to partial differential equations and his applied contributions to diverse areas besides in- compressible flow such as scattering theory, shock waves, combustion, vortex motion and turbulent diffusion. His current applied research interests are centered around Atmosphere/Ocean science. Andrea L. Bertozzi is Professor of Mathematics and Physics at Duke University. She has received several honors including a Sloan Research Fellowship (1995) and the Presidential Early Career Award for Scientists and Engineers (PECASE). Her research accomplishments in addition to incompressible flow include both theoretical and applied contributions to the understanding of thin liquid films and moving contact lines.
    [Show full text]
  • Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011
    Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 TABLE OF CONTENTS EXECUTIVE SUMMARY 2 A. PARTICIPANT LIST 3 B. FINANCIAL SUPPORT LIST 4 C. INCOME AND EXPENDITURE REPORT 4 D. POSTDOCTORAL PLACEMENT LIST 5 E. INSTITUTE DIRECTORS‘ MEETING REPORT 6 F. PARTICIPANT SUMMARY 12 G. POSTDOCTORAL PROGRAM SUMMARY 13 H. GRADUATE STUDENT PROGRAM SUMMARY 14 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY 15 J. PROGRAM DESCRIPTION 15 K. PROGRAM CONSULTANT LIST 38 L. PUBLICATIONS LIST 50 M. INDUSTRIAL AND GOVERNMENTAL INVOLVEMENT 51 N. EXTERNAL SUPPORT 52 O. COMMITTEE MEMBERSHIP 53 P. CONTINUING IMPACT OF PAST IPAM PROGRAMS 54 APPENDIX 1: PUBLICATIONS (SELF-REPORTED) 2009-2010 58 Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 EXECUTIVE SUMMARY Highlights of IPAM‘s accomplishments and activities of the fiscal year 2009-2010 include: IPAM held two long programs during 2009-2010: o Combinatorics (fall 2009) o Climate Modeling (spring 2010) IPAM‘s 2010 winter workshops continued the tradition of focusing on emerging topics where Mathematics plays an important role: o New Directions in Financial Mathematics o Metamaterials: Applications, Analysis and Modeling o Mathematical Problems, Models and Methods in Biomedical Imaging o Statistical and Learning-Theoretic Challenges in Data Privacy IPAM sponsored reunion conferences for four long programs: Optimal Transport, Random Shapes, Search Engines and Internet MRA IPAM sponsored three public lectures since August. Noga Alon presented ―The Combinatorics of Voting Paradoxes‖ on October 5, 2009. Pierre-Louis Lions presented ―On Mean Field Games‖ on January 5, 2010.
    [Show full text]
  • Roman Jackiw: a Beacon in a Golden Period of Theoretical Physics
    Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics Luc Vinet Centre de Recherches Math´ematiques, Universit´ede Montr´eal, Montr´eal, QC, Canada [email protected] April 29, 2020 Abstract This text offers reminiscences of my personal interactions with Roman Jackiw as a way of looking back at the very fertile period in theoretical physics in the last quarter of the 20th century. To Roman: a bouquet of recollections as an expression of friendship. 1 Introduction I owe much to Roman Jackiw: my postdoctoral fellowship at MIT under his supervision has shaped my scientific life and becoming friend with him and So Young Pi has been a privilege. Looking back at the last decades of the past century gives a sense without undue nostalgia, I think, that those were wonderful years for Theoretical Physics, years that have witnessed the preeminence of gauge field theories, deep interactions with modern geometry and topology, the overwhelming revival of string theory and remarkably fruitful interactions between particle and condensed matter physics as well as cosmology. Roman was a main actor in these developments and to be at his side and benefit from his guidance and insights at that time was most fortunate. Owing to his leadership and immense scholarship, also because he is a great mentor, Roman has always been surrounded by many and has thus arXiv:2004.13191v1 [physics.hist-ph] 27 Apr 2020 generated a splendid network of friends and colleagues. Sometimes, with my own students, I reminisce about how it was in those days; I believe it is useful to keep a memory of the way some important ideas shaped up and were relayed.
    [Show full text]
  • ACCRETION INTO and EMISSION from BLACK HOLES Thesis By
    ACCRETION INTO AND EMISSION FROM BLACK HOLES Thesis by Don Nelson Page In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy California Institute of Technology Pasadena, California 1976 (Submitted May 20, 1976) -ii- ACKNOHLEDG:-IENTS For everything involved during my pursuit of a Ph. D. , I praise and thank my Lord Jesus Christ, in whom "all things were created, both in the heavens and on earth, visible and invisible, whether thrones or dominions or rulers or authorities--all things have been created through Him and for Him. And He is before all things, and in Him all things hold together" (Colossians 1: 16-17) . But He is not only the Creator and Sustainer of the universe, including the physi­ cal laws which rule and their dominion the spacetime manifold and its matter fields ; He is also my personal Savior, who was "wounded for our transgressions , ... bruised for our iniquities, .. and the Lord has lald on Him the iniquity of us all" (Isaiah 53:5-6). As the Apostle Paul expressed it shortly after Isaiah ' s prophecy had come true at least five hundred years after being written, "God demonstrates His own love tmvard us , in that while we were yet sinners, Christ died for us" (Romans 5 : 8) . Christ Himself said, " I have come that they may have life, and have it to the full" (John 10:10) . Indeed Christ has given me life to the full while I have been at Caltech, and I wish to acknowledge some of the main blessings He has granted: First I thank my advisors , KipS.
    [Show full text]
  • Vancouver Institute: an Experiment in Public Education
    1 2 The Vancouver Institute: An Experiment in Public Education edited by Peter N. Nemetz JBA Press University of British Columbia Vancouver, B.C. Canada V6T 1Z2 1998 3 To my parents, Bel Newman Nemetz, B.A., L.L.D., 1915-1991 (Pro- gram Chairman, The Vancouver Institute, 1973-1990) and Nathan T. Nemetz, C.C., O.B.C., Q.C., B.A., L.L.D., 1913-1997 (President, The Vancouver Institute, 1960-61), lifelong adherents to Albert Einstein’s Credo: “The striving after knowledge for its own sake, the love of justice verging on fanaticism, and the quest for personal in- dependence ...”. 4 TABLE OF CONTENTS INTRODUCTION: 9 Peter N. Nemetz The Vancouver Institute: An Experiment in Public Education 1. Professor Carol Shields, O.C., Writer, Winnipeg 36 MAKING WORDS / FINDING STORIES 2. Professor Stanley Coren, Department of Psychology, UBC 54 DOGS AND PEOPLE: THE HISTORY AND PSYCHOLOGY OF A RELATIONSHIP 3. Professor Wayson Choy, Author and Novelist, Toronto 92 THE IMPORTANCE OF STORY: THE HUNGER FOR PERSONAL NARRATIVE 4. Professor Heribert Adam, Department of Sociology and 108 Anthropology, Simon Fraser University CONTRADICTIONS OF LIBERATION: TRUTH, JUSTICE AND RECONCILIATION IN SOUTH AFRICA 5. Professor Harry Arthurs, O.C., Faculty of Law, Osgoode 132 Hall, York University GLOBALIZATION AND ITS DISCONTENTS 6. Professor David Kennedy, Department of History, 154 Stanford University IMMIGRATION: WHAT THE U.S. CAN LEARN FROM CANADA 7. Professor Larry Cuban, School of Education, Stanford 172 University WHAT ARE GOOD SCHOOLS, AND WHY ARE THEY SO HARD TO GET? 5 8. Mr. William Thorsell, Editor-in-Chief, The Globe and 192 Mail GOOD NEWS, BAD NEWS: POWER IN CANADIAN MEDIA AND POLITICS 9.
    [Show full text]
  • Le Bulletin M MATHÉMATIQUES
    C CENTRE R DE RECHERCHES Le Bulletin M MATHÉMATIQUES Automne/Fall 2014 — Volume 20, No 2 — Le Centre de recherches mathématiques Thematic Year on Number Theory from Arithmetic Statistics to Zeta Elements SMS 2014: Counting Arithmetic Objects Organizers: Henri Darmon (McGill); Andrew Granville (Montréal); Benedict Gross (Harvard) The Séminaire de Mathématiques Supérieures (summer school) on Counting Arithmetic Objects was held at the CRM from June 23 to July 4, 2014, and was by all accounts a resounding success. It was the first summer school to focus on the new approach to arithmetic geometry which has been led by Manjul Bhargava, and resulted in several extraordinary results, including that almost 2/3rds of elliptic curves have p-Selmer rank 0 or 1, and hence (thanks to an impressive panoply of deep results in the arith- metic of elliptic curves obtained over the last 30 years) satisfy the Birch–Swinnerton-Dyer conjecture (up to the 2-part of the Tate– Safarevic group). Much of the work in this area has come from Princeton and Boston, and one goal was to draw a much wider co- hort into the subject. The lecturers were specifically asked to help the listeners develop an intuition for the area, and not worry about all of the details. One difficulty in understanding the subject is that the published papers often focus on the more geometric intuition, though much of the (key) ring theory can be developed through Manjul Bhargava at the CRM in 2006, as Aisenstadt Chair (© Photo Réjean Meloche) simpler algebraic insights and combinatorial constructions. Again the lecturers were asked to bring these to the fore, and did so.
    [Show full text]
  • What's the Matter with Tie-Breaking? Improving Efficiency in School Choice
    American Economic Review 2008, 98:3, 669–689 http://www.aeaweb.org/articles.php?doi=10.1257/aer.98.3.669 What’s the Matter with Tie-Breaking? Improving Efficiency in School Choice By Aytek Erdil and Haluk Ergin* In several school choice districts in the United States, the student proposing deferred acceptance algorithm is applied after indifferences in priority orders are broken in some exogenous way. Although such a tie-breaking procedure preserves stability, it adversely affects the welfare of the students since it intro- duces artificial stability constraints. Our main finding is a polynomial-time algorithm for the computation of a student-optimal stable matching when pri- orities are weak. The idea behind our construction relies on a new notion which we call a stable improvement cycle. We also investigate the strategic properties of the student-optimal stable mechanism. (JEL C78, D82, I2) Until about a decade ago, children in the United States were assigned to public schools by the district they live in, without taking into account the preferences of their families. Such systems overlooked reallocations of seats which could Pareto improve welfare. Motivated by such con- cerns, several US cities, including New York City, Boston, Cambridge, Charlotte, Columbus, Denver, Minneapolis, Seattle, and St. Petersburg-Tampa, started centralized school choice pro- grams. Typically in these programs, each family submits a preference list of schools, including those outside their district, and then a centralized mechanism assigns students to schools based on the preferences. The mechanisms initially adopted by school choice programs were ad hoc, and did not perform well in terms of efficiency, incentives, and/or stability.
    [Show full text]
  • Computational and Financial Econometrics (CFE 2017)
    CFE-CMStatistics 2017 PROGRAMME AND ABSTRACTS 11th International Conference on Computational and Financial Econometrics (CFE 2017) http://www.cfenetwork.org/CFE2017 and 10th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (CMStatistics 2017) http://www.cmstatistics.org/CMStatistics2017 Senate House & Birkbeck University of London, UK 16 – 18 December 2017 ⃝c ECOSTA ECONOMETRICS AND STATISTICS. All rights reserved. I CFE-CMStatistics 2017 ISBN 978-9963-2227-4-2 ⃝c 2017 - ECOSTA ECONOMETRICS AND STATISTICS Technical Editors: Gil Gonzalez-Rodriguez and Marc Hofmann. All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any other form or by any means without the prior permission from the publisher. II ⃝c ECOSTA ECONOMETRICS AND STATISTICS. All rights reserved. CFE-CMStatistics 2017 International Organizing Committee: Ana Colubi, Erricos Kontoghiorghes, Marc Levene, Bernard Rachet, Herman Van Dijk. CFE 2017 Co-chairs: Veronika Czellar, Hashem Pesaran, Mike Pitt and Stefan Sperlich. CFE 2017 Programme Committee: Knut Are Aastveit, Alessandra Amendola, Josu Arteche, Monica Billio, Roberto Casarin, Gianluca Cubadda, Manfred Deistler, Jean-Marie Dufour, Ekkehard Ernst, Jean-David Fermanian, Catherine Forbes, Philip Hans Franses, Marc Hallin, Alain Hecq, David Hendry, Benjamin Holcblat, Jan Jacobs, Degui Li, Alessandra Luati, Richard Luger, J Isaac Miller, Claudio Morana, Bent
    [Show full text]