IMU Secretary An: [email protected]; CC: Betreff: IMU EC CL 05/07: Vote on ICMI Terms of Reference Change Datum: Mittwoch, 24
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2006 Annual Report
Contents Clay Mathematics Institute 2006 James A. Carlson Letter from the President 2 Recognizing Achievement Fields Medal Winner Terence Tao 3 Persi Diaconis Mathematics & Magic Tricks 4 Annual Meeting Clay Lectures at Cambridge University 6 Researchers, Workshops & Conferences Summary of 2006 Research Activities 8 Profile Interview with Research Fellow Ben Green 10 Davar Khoshnevisan Normal Numbers are Normal 15 Feature Article CMI—Göttingen Library Project: 16 Eugene Chislenko The Felix Klein Protocols Digitized The Klein Protokolle 18 Summer School Arithmetic Geometry at the Mathematisches Institut, Göttingen, Germany 22 Program Overview The Ross Program at Ohio State University 24 PROMYS at Boston University Institute News Awards & Honors 26 Deadlines Nominations, Proposals and Applications 32 Publications Selected Articles by Research Fellows 33 Books & Videos Activities 2007 Institute Calendar 36 2006 Another major change this year concerns the editorial board for the Clay Mathematics Institute Monograph Series, published jointly with the American Mathematical Society. Simon Donaldson and Andrew Wiles will serve as editors-in-chief, while I will serve as managing editor. Associate editors are Brian Conrad, Ingrid Daubechies, Charles Fefferman, János Kollár, Andrei Okounkov, David Morrison, Cliff Taubes, Peter Ozsváth, and Karen Smith. The Monograph Series publishes Letter from the president selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. The next volume in the series will be Ricci Flow and the Poincaré Conjecture, by John Morgan and Gang Tian. Their book will appear in the summer of 2007. In related publishing news, the Institute has had the complete record of the Göttingen seminars of Felix Klein, 1872–1912, digitized and made available on James Carlson. -
Short CV For: Alexander Lubotzky
Short CV for: Alexander Lubotzky Personal: • born 28/6/56 in Israel. • Married to Yardenna Lubotzky (+ six children) Studies: • B. Sc., Mathematics, Bar-Ilan University, 1975. • Ph.D., Mathematics, Bar-Ilan University, 1979. (Supervisor: H. Fussten- berg, Thesis: Profinite groups and the congruence subgroup problem.) Employment: • 1982 - current: Institute of Mathematics, Hebrew University of Jerusalem; Professor - Holding the Maurice and Clara Weil Chair in Mathematics • 1999-current: Adjunct Professor at Yale University • Academic Year 2005-2006: Leading a year long research program at the Institute for Advanced Study in Princeton on \Lie Groups, Repre- sentations and Discrete Mathematics." Previous Employment: • Bar-Ilan University, 1976-1982 • Israeli Defense Forces, 1977-1982 • Member of the Israeli Parliament (Knesset), 1996-1999 Visiting Positions: • Yale University (several times for semesters or years) • Stanford University (84/5) • University of Chicago (92/3) • Columbia University (Elenberg visiting Professor Fall 2000) 1 • Institute for Advanced Study, Princeton (2005/6) Main prizes and Academic Honors: • Elected as Foreign Honorary member of the American Academy of Arts and Sciences • Ferran Sunyer i Balaguer Prize twice: 1993 for the book: \Discrete Groups, Expanding Groups and Invariant Measures", Prog. in math 125, Birkhauser 1994, and in 2002 joint with Professor Dan Segal from Oxford for the book \Subgroup Growth", Prog. in Math. 212, Birkhauser 2003. • The Rothschild Prize 2002. • The Erdos Prize in 1991. Editorial work: • Israel Journal of Mathematics (1990-now) • Journal of Algebra (1990-2005) • GAFA (1990-2000) • European Journal of Combinatorics • Geometric Dedicata • Journal of the Glasgow Mathematical Scientists Books and papers: • Author of 3 books and over 90 papers. -
George W. Whitehead Jr
George W. Whitehead Jr. 1918–2004 A Biographical Memoir by Haynes R. Miller ©2015 National Academy of Sciences. Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. GEORGE WILLIAM WHITEHEAD JR. August 2, 1918–April 12 , 2004 Elected to the NAS, 1972 Life George William Whitehead, Jr., was born in Bloomington, Ill., on August 2, 1918. Little is known about his family or early life. Whitehead received a BA from the University of Chicago in 1937, and continued at Chicago as a graduate student. The Chicago Mathematics Department was somewhat ingrown at that time, dominated by L. E. Dickson and Gilbert Bliss and exhibiting “a certain narrowness of focus: the calculus of variations, projective differential geometry, algebra and number theory were the main topics of interest.”1 It is possible that Whitehead’s interest in topology was stimulated by Saunders Mac Lane, who By Haynes R. Miller spent the 1937–38 academic year at the University of Chicago and was then in the early stages of his shift of interest from logic and algebra to topology. Of greater importance for Whitehead was the appearance of Norman Steenrod in Chicago. Steenrod had been attracted to topology by Raymond Wilder at the University of Michigan, received a PhD under Solomon Lefschetz in 1936, and remained at Princeton as an Instructor for another three years. He then served as an Assistant Professor at the University of Chicago between 1939 and 1942 (at which point he moved to the University of Michigan). -
Qisar-Alexander-Ollongren-Astrolinguistics.Pdf
Astrolinguistics Alexander Ollongren Astrolinguistics Design of a Linguistic System for Interstellar Communication Based on Logic Alexander Ollongren Advanced Computer Science Leiden University Leiden The Netherlands ISBN 978-1-4614-5467-0 ISBN 978-1-4614-5468-7 (eBook) DOI 10.1007/978-1-4614-5468-7 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012945935 © Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, speci fi cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on micro fi lms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied speci fi cally for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a speci fi c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. -
A Group Theoretic Characterization of Linear Groups
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector JOURNAL OF ALGEBRA 113, 207-214 (1988) A Group Theoretic Characterization of Linear Groups ALEXANDER LUBOTZKY Institute qf Mathematics, Hebrew University, Jerusalem, Israel 91904 Communicated by Jacques Tits Received May 12, 1986 Let r be a group. When is f linear? This is an old problem. The first to study this question systematically was Malcev in 1940 [M], who essen- tially reduced the problem to finitely generated groups. (Note that a finitely generated group is linear over some field of characteristic zero if and only if it can be embedded in CL,(C) for some n.) Very little progress was made since that paper of Malcev, although, as linear groups are a quite special type of group, many necessary conditions were obtained, e.g., r should be residually finite and even virtually residually-p for almost all primes p, f should be virtually torsion free, and if not solvable by finite it has a free non-abelian subgroup, etc. (cf. [Z]). Of course, none of these properties characterizes the finitely generated linear groups over @. In this paper we give such a characterization using the congruence structure of r. First some definitions: For a group H, d(H) denotes the minimal number of generators for H. DEFINITION. Let p be a prime and c an integer. A p-congruence structure (with a bound c) for a group r is a descending chain of finite index normal subgroups of r = N, 2 N, 2 N, z . -
Counting Arithmetic Lattices and Surfaces
ANNALS OF MATHEMATICS Counting arithmetic lattices and surfaces By Mikhail Belolipetsky, Tsachik Gelander, Alexander Lubotzky, and Aner Shalev SECOND SERIES, VOL. 172, NO. 3 November, 2010 anmaah Annals of Mathematics, 172 (2010), 2197–2221 Counting arithmetic lattices and surfaces By MIKHAIL BELOLIPETSKY, TSACHIK GELANDER, ALEXANDER LUBOTZKY, and ANER SHALEV Abstract We give estimates on the number ALH .x/ of conjugacy classes of arithmetic lattices of covolume at most x in a simple Lie group H . In particular, we obtain a first concrete estimate on the number of arithmetic 3-manifolds of volume at most x. Our main result is for the classical case H PSL.2; R/ where we show D that log AL .x/ 1 lim H : x x log x D 2 !1 The proofs use several different techniques: geometric (bounding the number of generators of as a function of its covolume), number theoretic (bounding the number of maximal such ) and sharp estimates on the character values of the symmetric groups (to bound the subgroup growth of ). 1. Introduction Let H be a noncompact simple Lie group with a fixed Haar measure .A discrete subgroup of H is called a lattice if . H / < . A classical theorem of n 1 Wang[Wan72] asserts that if H is not locally isomorphic to PSL2.R/ or PSL2.C/, then for every 0 < x R the number LH .x/ of conjugacy classes of lattices in H of 2 covolume at most x is finite. This result was greatly extended by Borel and Prasad [BP89]. In recent years there has been an attempt to quantify Wang’s theorem and to give some estimates on LH .x/ (see[BGLM02],[Gel04],[GLNP04],[Bel07] and[BL]). -
Algebra & Number Theory Vol. 7 (2013)
Algebra & Number Theory Volume 7 2013 No. 3 msp Algebra & Number Theory msp.org/ant EDITORS MANAGING EDITOR EDITORIAL BOARD CHAIR Bjorn Poonen David Eisenbud Massachusetts Institute of Technology University of California Cambridge, USA Berkeley, USA BOARD OF EDITORS Georgia Benkart University of Wisconsin, Madison, USA Susan Montgomery University of Southern California, USA Dave Benson University of Aberdeen, Scotland Shigefumi Mori RIMS, Kyoto University, Japan Richard E. Borcherds University of California, Berkeley, USA Raman Parimala Emory University, USA John H. Coates University of Cambridge, UK Jonathan Pila University of Oxford, UK J-L. Colliot-Thélène CNRS, Université Paris-Sud, France Victor Reiner University of Minnesota, USA Brian D. Conrad University of Michigan, USA Karl Rubin University of California, Irvine, USA Hélène Esnault Freie Universität Berlin, Germany Peter Sarnak Princeton University, USA Hubert Flenner Ruhr-Universität, Germany Joseph H. Silverman Brown University, USA Edward Frenkel University of California, Berkeley, USA Michael Singer North Carolina State University, USA Andrew Granville Université de Montréal, Canada Vasudevan Srinivas Tata Inst. of Fund. Research, India Joseph Gubeladze San Francisco State University, USA J. Toby Stafford University of Michigan, USA Ehud Hrushovski Hebrew University, Israel Bernd Sturmfels University of California, Berkeley, USA Craig Huneke University of Virginia, USA Richard Taylor Harvard University, USA Mikhail Kapranov Yale University, USA Ravi Vakil Stanford University, -
DMV Congress 2013 18Th ÖMG Congress and Annual DMV Meeting University of Innsbruck, September 23 – 27, 2013
ÖMG - DMV Congress 2013 18th ÖMG Congress and Annual DMV Meeting University of Innsbruck, September 23 – 27, 2013 Contents Welcome 13 Sponsors 15 General Information 17 Conference Location . 17 Conference Office . 17 Registration . 18 Technical Equipment of the Lecture Halls . 18 Internet Access during Conference . 18 Lunch and Dinner . 18 Coffee Breaks . 18 Local Transportation . 19 Information about the Congress Venue Innsbruck . 19 Information about the University of Innsbruck . 19 Maps of Campus Technik . 20 Conference Organization and Committees 23 Program Committee . 23 Local Organizing Committee . 23 Coordinators of Sections . 24 Organizers of Minisymposia . 25 Teachers’ Day . 26 Universities of the Applied Sciences Day . 26 Satellite Conference: 2nd Austrian Stochastics Day . 26 Students’ Conference . 26 Conference Opening 27 1 2 Contents Meetings and Public Program 29 General Assembly, ÖMG . 29 General Assembly, DMV . 29 Award Ceremony, Reception by Springer-Verlag . 29 Reception with Cédric Villani by France Focus . 29 Film Presentation . 30 Public Lecture . 30 Expositions . 30 Additional Program 31 Students’ Conference . 31 Teachers’ Day . 31 Universities of the Applied Sciences Day . 31 Satellite Conference: 2nd Austrian Stochastics Day . 31 Social Program 33 Evening Reception . 33 Conference Dinner . 33 Conference Excursion . 34 Further Excursions . 34 Program Overview 35 Detailed Program of Sections and Minisymposia 39 Monday, September 23, Afternoon Session . 40 Tuesday, September 24, Morning Session . 43 Tuesday, September 24, Afternoon Session . 46 Wednesday, September 25, Morning Session . 49 Thursday, September 26, Morning Session . 52 Thursday, September 26, Afternoon Session . 55 ABSTRACTS 59 Plenary Speakers 61 M. Beiglböck: Optimal Transport, Martingales, and Model-Independence 62 E. Hairer: Long-term control of oscillations in differential equations .. -
Graduate School of Arts and Sciences 2013–2014
BULLETIN OF YALE UNIVERSITY BULLETIN OF YALE BULLETIN OF YALE UNIVERSITY Periodicals postage paid New Haven ct 06520-8227 New Haven, Connecticut Graduate School of Arts and Sciences Programs and Policies 2013–2014 Graduate School ofGraduate Arts and Sciences 2013–2014 BULLETIN OF YALE UNIVERSITY Series 109 Number 5 July 15, 2013 BULLETIN OF YALE UNIVERSITY Series 109 Number 5 July 15, 2013 (USPS 078-500) The University is committed to basing judgments concerning the admission, education, is published seventeen times a year (one time in May and October; three times in June and employment of individuals upon their qualifications and abilities and a∞rmatively and September; four times in July; five times in August) by Yale University, 2 Whitney seeks to attract to its faculty, sta≠, and student body qualified persons of diverse back- Avenue, New Haven CT 0651o. Periodicals postage paid at New Haven, Connecticut. grounds. In accordance with this policy and as delineated by federal and Connecticut law, Yale does not discriminate in admissions, educational programs, or employment against Postmaster: Send address changes to Bulletin of Yale University, any individual on account of that individual’s sex, race, color, religion, age, disability, or PO Box 208227, New Haven CT 06520-8227 national or ethnic origin; nor does Yale discriminate on the basis of sexual orientation or gender identity or expression. Managing Editor: Kimberly M. Go≠-Crews University policy is committed to a∞rmative action under law in employment of Editor: Lesley K. Baier women, minority group members, individuals with disabilities, and covered veterans. PO Box 208230, New Haven CT 06520-8230 Inquiries concerning these policies may be referred to the Director of the O∞ce for Equal Opportunity Programs, 221 Whitney Avenue, 203.432.0849. -
Programme & Information Brochure
Programme & Information 6th European Congress of Mathematics Kraków 2012 6ECM Programme Coordinator Witold Majdak Editors Agnieszka Bojanowska Wojciech Słomczyński Anna Valette Typestetting Leszek Pieniążek Cover Design Podpunkt Contents Welcome to the 6ECM! 5 Scientific Programme 7 Plenary and Invited Lectures 7 Special Lectures and Session 10 Friedrich Hirzebruch Memorial Session 10 Mini-symposia 11 Satellite Thematic Sessions 12 Panel Discussions 13 Poster Sessions 14 Schedule 15 Social events 21 Exhibitions 23 Books and Software Exhibition 23 Old Mathematical Manuscripts and Books 23 Art inspired by mathematics 23 Films 25 6ECM Specials 27 Wiadomości Matematyczne and Delta 27 Maths busking – Mathematics in the streets of Kraków 27 6ECM Medal 27 Coins commemorating Stefan Banach 28 6ECM T-shirt 28 Where to eat 29 Practical Information 31 6ECM Tourist Programme 33 Tours in Kraków 33 Excursions in Kraków’s vicinity 39 More Tourist Attractions 43 Old City 43 Museums 43 Parks and Mounds 45 6ECM Organisers 47 Maps & Plans 51 Honorary Patron President of Poland Bronisław Komorowski Honorary Committee Minister of Science and Higher Education Barbara Kudrycka Voivode of Małopolska Voivodship Jerzy Miller Marshal of Małopolska Voivodship Marek Sowa Mayor of Kraków Jacek Majchrowski WELCOME to the 6ECM! We feel very proud to host you in Poland’s oldest medieval university, in Kraków. It was in this city that the Polish Mathematical Society was estab- lished ninety-three years ago. And it was in this country, Poland, that the European Mathematical Society was established in 1991. Thank you very much for coming to Kraków. The European Congresses of Mathematics are quite different from spe- cialized scientific conferences or workshops. -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
Lie Groups and Ergodic Theory
Citations From References: 0 Previous Up Next Book From Reviews: 0 MR1699355 (2000b:00011) 00B25 (22-06 28-06) FLie groups and ergodic theory. Proceedings of the International Colloquium held in Mumbai, January 4–12, 1996. Edited by S. G. Dani. Tata Institute of Fundamental Research Studies in Mathematics, 14. Published for the Tata Institute of Fundamental Research, Bombay; by Narosa Publishing House, New Delhi, 1998. viii+386 pp. $32.00. ISBN 81-7319-235-9 Contents: Martine Babillot and Franc¸ois Ledrappier, Geodesic paths and horocycle flow on abelian covers (1–32); J. R. Choksi and M. G. Nadkarni, On the question of transformations with sim- ple Lebesgue spectrum (33–57); S. G. Dani and C. R. E. Raja, Asymptotics of measures under group automorphisms and an application to factor sets (59–73); Alex Eskin and Benson Farb, Quasi-flats in H2 × H2 (75–103); Hillel Furstenberg [Harry Furstenberg], Stiffness of group ac- tions (105–117); Dmitry Y.Kleinbock, Bounded orbits conjecture and Diophantine approximation (119–130); Alexander Lubotzky and Robert J. Zimmer, A canonical arithmetic quotient for sim- ple Lie group actions (131–142); Shahar Mozes, On the congruence subgroup problem for tree lattices (143–149); Hee Oh, Arithmetic properties of some Zariski dense discrete subgroups (151– 165); Marina Ratner, On the p-adic and S-arithmetic generalizations of Raghunathan’s conjectures (167–202); Klaus Schmidt [Klaus Schmidt1], On the cohomology of algebraic Zd-actions with values in compact Lie groups (203–228); Nimish A. Shah, Invariant measures and orbit closures on homogeneous spaces for actions of subgroups generated by unipotent elements (229–271); Yehuda Shalom, Random ergodic theorems, invariant means and unitary representation (273– 314); G.