The Fields Medalists
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Homogeneous Flows, Moduli Spaces and Arithmetic
CLAY MATHEMATICS INSTITUTE SUMMER SCHOOL 2007 Homogeneous Flows, Moduli Spaces and Arithmetic at the Centro di Ricerca Matematica Designed for graduate students and mathematicians within Ennio De Giorgi, Pisa, Italy five years of their PhD, the program is an introduction to the theory of flows on homogeneous spaces, moduli spaces and their many applications. These flows give concrete examples of dynamical systems with highly interesting behavior and a rich and powerful theory. They are also a source of many interesting problems and conjectures. Furthermore, understanding the dynamics of such a concrete system lends to numerous applications in number theory and geometry regarding equidistributions, diophantine approximations, rational billiards and automorphic forms. The school will consist of three weeks of foundational courses Photo: Peter Adams and one week of mini-courses focusing on more advanced topics. June 11th to July 6th 2007 Lecturers to include: Organizing Committee Nalini Anantharaman, Artur Avila, Manfred Einsiedler, Alex Eskin, Manfred Einsiedler, David Ellwood, Alex Eskin, Dmitry Kleinbock, Elon Svetlana Katok, Dmitry Kleinbock, Elon Lindenstrauss, Shahar Mozes, Lindenstrauss, Gregory Margulis, Stefano Marmi, Peter Sarnak, Hee Oh, Akshay Venkatesh, Jean-Christophe Yoccoz Jean-Christophe Yoccoz, Don Zagier Foundational Courses Graduate Postdoctoral Funding Unipotent flows and applications Funding is available to graduate students and postdoctoral fellows (within 5 Alex Eskin & Dmitry Kleinbock years of their PhD). Standard -
Diagonalizable Flows on Locally Homogeneous Spaces and Number
Diagonalizable flows on locally homogeneous spaces and number theory Manfred Einsiedler and Elon Lindenstrauss∗ Abstract.We discuss dynamical properties of actions of diagonalizable groups on locally homogeneous spaces, particularly their invariant measures, and present some number theoretic and spectral applications. Entropy plays a key role in the study of theses invariant measures and in the applications. Mathematics Subject Classification (2000). 37D40, 37A45, 11J13, 81Q50 Keywords. invariant measures, locally homogeneous spaces, Littlewood’s conjecture, quantum unique ergodicity, distribution of periodic orbits, ideal classes, entropy. 1. Introduction Flows on locally homogeneous spaces are a special kind of dynamical systems. The ergodic theory and dynamics of these flows are very rich and interesting, and their study has a long and distinguished history. What is more, this study has found numerous applications throughout mathematics. The spaces we consider are of the form Γ\G where G is a locally compact group and Γ a discrete subgroup of G. Typically one takes G to be either a Lie group, a linear algebraic group over a local field, or a product of such. Any subgroup H < G acts on Γ\G and this action is precisely the type of action we will consider here. One of the most important examples which features in numerous number theoretical applications is the space PGL(n, Z)\ PGL(n, R) which can be identified with the space of lattices in Rn up to homothety. Part of the beauty of the subject is that the study of very concrete actions can have meaningful implications. For example, in the late 1980s G. -
Oslo 2004: the Abel Prize Celebrations
NEWS OsloOslo 2004:2004: TheThe AbelAbel PrizePrize celebrationscelebrations Nils Voje Johansen and Yngvar Reichelt (Oslo, Norway) On 25 March, the Norwegian Academy of Science and Letters announced that the Abel Prize for 2004 was to be awarded to Sir Michael F. Atiyah of the University of Edinburgh and Isadore M. Singer of MIT. This is the second Abel Prize awarded following the Norwegian Government’s decision in 2001 to allocate NOK 200 million to the creation of the Abel Foundation, with the intention of award- ing an international prize for outstanding research in mathematics. The prize, amounting to NOK 6 million, was insti- tuted to make up for the fact that there is no Nobel Prize for mathematics. In addi- tion to awarding the international prize, the Foundation shall contribute part of its earnings to measures for increasing inter- est in, and stimulating recruitment to, Nils Voje Johansen Yngvar Reichelt mathematical and scientific fields. The first Abel Prize was awarded in machine – the brain and the computer, break those rules creatively, just like an 2003 to the French mathematician Jean- with the subtitle “Will a computer ever be artist or a musical composer. Pierre Serre for playing a key role in shap- awarded the Abel Prize?” Quentin After a brief interval, Quentin Cooper ing the modern form of many parts of Cooper, one of the BBC’s most popular invited questions from the audience and a mathematics. In 2004, the Abel radio presenters, chaired the meeting, in number of points were brought up that Committee decided that Michael F. which Sir Michael spoke for an hour to an Atiyah addressed thoroughly and profes- Atiyah and Isadore M. -
978-961-293-071-4.Pdf PUBLIC LECTURES 53
CONTENTS 8th European Congress of Mathematics 20–26 June 2021 • Portorož, Slovenia PLENARY SPEAKERS 1 Presentation of Plenary, Invited, Public, Abel and Prize Speakers at the 8ECM Edited by INVITED SPEAKERS 11 Nino Bašic´ Ademir Hujdurovic´ Klavdija Kutnar THE EMS PRIZES 33 Tomaž Pisanski Vito Vitrih THE FELIX KLEIN PRIZE 43 Published by University of Primorska Press THE OTTO NEUGEBAUER PRIZE 45 Koper, Slovenia • www.hippocampus.si © 2021 University of Primorska ABEL LECTURE 49 Electronic Edition https://www.hippocampus.si/ISBN/978-961-293-071-4.pdf PUBLIC LECTURES 53 https://www.hippocampus.si/ISBN/978-961-293-072-1/index.html https://doi.org/10.26493/978-961-293-071-4 Kataložni zapis o publikaciji (CIP) pripravili v Narodni in univerzitetni knjižnici v Ljubljani COBISS.SI-ID = 65201411 ISBN 978-961-293-071-4 (pdf) ISBN 978-961-293-072-1 (html) PLENARY SPEAKERS 8th European Congress of Mathematics Plenary Speakers Peter Bühlmann Nirenberg, from the Courant Institute, New York University, 1994. Following his PhD, he has held the positions of Member of the Institute for Advanced ETH Zürich Study, Princeton, 1994–95; Habilitation à diriger des recherches, Université Pierre et Marie Curie-Paris VI, 1998; Harrington Faculty Fellow, The University of Texas at Austin, 2001–02; and Tenure Associate Professor, The University Biosketch of Texas at Austin, 2002–03. Since 2003, he has been an ICREA Research Peter Bühlmann is Professor of Mathematics and Professor at the Universitat Politècnica de Catalunya. He received the Kurt Statistics, and Director of Foundations of Data Science at ETH Zürich. He Friedrichs Prize, New York University, 1995, and is a Fellow of the American studied mathematics at ETH Zürich and received his doctoral degree in 1993 Mathematical Society, inaugural class of 2012. -
Notices of the American Mathematical Society
Notices of the American Mathematical Society April 1981, Issue 209 Volume 28, Number 3, Pages 217- 296 Providence, Rhode Island USA ISSN 0002-9920 CALENDAR OF AMS MEETINGS THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· 'an Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet· lng. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the offi'e of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Soc:iety in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· strKts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. -
2019 AMS Prize Announcements
FROM THE AMS SECRETARY 2019 Leroy P. Steele Prizes The 2019 Leroy P. Steele Prizes were presented at the 125th Annual Meeting of the AMS in Baltimore, Maryland, in January 2019. The Steele Prizes were awarded to HARUZO HIDA for Seminal Contribution to Research, to PHILIppE FLAJOLET and ROBERT SEDGEWICK for Mathematical Exposition, and to JEFF CHEEGER for Lifetime Achievement. Haruzo Hida Philippe Flajolet Robert Sedgewick Jeff Cheeger Citation for Seminal Contribution to Research: Hamadera (presently, Sakai West-ward), Japan, he received Haruzo Hida an MA (1977) and Doctor of Science (1980) from Kyoto The 2019 Leroy P. Steele Prize for Seminal Contribution to University. He did not have a thesis advisor. He held po- Research is awarded to Haruzo Hida of the University of sitions at Hokkaido University (Japan) from 1977–1987 California, Los Angeles, for his highly original paper “Ga- up to an associate professorship. He visited the Institute for Advanced Study for two years (1979–1981), though he lois representations into GL2(Zp[[X ]]) attached to ordinary cusp forms,” published in 1986 in Inventiones Mathematicae. did not have a doctoral degree in the first year there, and In this paper, Hida made the fundamental discovery the Institut des Hautes Études Scientifiques and Université that ordinary cusp forms occur in p-adic analytic families. de Paris Sud from 1984–1986. Since 1987, he has held a J.-P. Serre had observed this for Eisenstein series, but there full professorship at UCLA (and was promoted to Distin- the situation is completely explicit. The methods and per- guished Professor in 1998). -
The History of the Abel Prize and the Honorary Abel Prize the History of the Abel Prize
The History of the Abel Prize and the Honorary Abel Prize The History of the Abel Prize Arild Stubhaug On the bicentennial of Niels Henrik Abel’s birth in 2002, the Norwegian Govern- ment decided to establish a memorial fund of NOK 200 million. The chief purpose of the fund was to lay the financial groundwork for an annual international prize of NOK 6 million to one or more mathematicians for outstanding scientific work. The prize was awarded for the first time in 2003. That is the history in brief of the Abel Prize as we know it today. Behind this government decision to commemorate and honor the country’s great mathematician, however, lies a more than hundred year old wish and a short and intense period of activity. Volumes of Abel’s collected works were published in 1839 and 1881. The first was edited by Bernt Michael Holmboe (Abel’s teacher), the second by Sophus Lie and Ludvig Sylow. Both editions were paid for with public funds and published to honor the famous scientist. The first time that there was a discussion in a broader context about honoring Niels Henrik Abel’s memory, was at the meeting of Scan- dinavian natural scientists in Norway’s capital in 1886. These meetings of natural scientists, which were held alternately in each of the Scandinavian capitals (with the exception of the very first meeting in 1839, which took place in Gothenburg, Swe- den), were the most important fora for Scandinavian natural scientists. The meeting in 1886 in Oslo (called Christiania at the time) was the 13th in the series. -
REPORT of the INTERNATIONAL ADVISORY BOARD for DEPARTMENT of MATHEMATICS HIGHER SCHOOL of ECONOMICS (MOSCOW)
REPORT OF THE INTERNATIONAL ADVISORY BOARD for DEPARTMENT OF MATHEMATICS HIGHER SCHOOL OF ECONOMICS (MOSCOW) Naming conventions: • Department = Department of Mathematics, Higher School of Economics • Board = International Advisory Board for the Department. Members of the Board: • Pierre Deligne (Institute for Advanced Study, USA) • Sergey Fomin (University of Michigan, USA) • Sergei Lando (HSE, Dean of the Department, ex officio) • Tetsuji Miwa (Kyoto University, Japan) • Andrei Okounkov (Columbia University, USA) • Stanislav Smirnov (University of Geneva, Switzerland, and St. Petersburg State University, Russia). Chairman of the Board: Stanislav Smirnov (elected February 17, 2013). Members of the Board visited the Department in Winter 2013. They met with faculty members, both junior and senior ones, and with students, both undergraduate and graduate. During these meetings, conducted in the absence of departmental administration, the students and professors freely expressed their opinions regarding the current state of affairs in the Department, commenting on its achievements, its goals, and its most pressing needs and problems. The visiting members of the Board met with the key members of the departmental leadership team, including the Dean, several Associate Deans, and representatives of the main graduate programs. Lively and substantive discussions concerned all aspects of departmental life, as well as the Department's prospects for the future. On February 18, 2013, four members of the Board (S. Fomin, S. Lando, T. Miwa, and S. Smirnov) had a 1.5-hour-long meeting with the leadership of the HSE, including the Rector Prof. Ya. I. Kuzminov, Academic Supervisor Prof. E. G. Yasin, First Vice- Rector V. V. Radaev, and Vice-Rectors S. -
Notices of the Ams 421
people.qxp 2/27/01 4:00 PM Page 421 Mathematics People Bigelow and Lindenstrauss The Leonard M. and Eleanor B. Blumenthal Trust for the Advancement of Mathematics was created for the Receive Blumenthal Prize purpose of assisting the Department of Mathematics of the University of Missouri at Columbia, where Leonard The Leonard M. and Eleanor B. Blumenthal Award for the Blumenthal served as professor for many years. Its second Advancement of Research in Pure Mathematics has been awarded to STEPHEN J. BIGELOW of the University of Melbourne purpose is to recognize distinguished achievements and ELON B. LINDENSTRAUSS of Stanford University and the in the field of mathematics through the Leonard M. and Institute for Advanced Study. The awards were presented Eleanor B. Blumenthal Award for the Advancement of at the Joint Mathematics Meetings in New Orleans in January Research in Pure Mathematics, which was originally 2001. funded from the Eleanor B. Blumenthal Trust upon Mrs. Stephen Bigelow was born in September 1971 in Blumenthal’s death on July 12, 1987. Cambridge, England. He received his B.S. degree in 1992 and The Trust, which is administered by the Financial his M.S. degree in 1994, both from the University of Melbourne. He recently received his Ph.D. from the University Management and Trust Services Division of Boone County of California at Berkeley, where he wrote a dissertation National Bank in Columbia, Missouri, pays its net income solving a long-standing open problem in the area of braid to the recipient of the award each year for four years. An groups. -
Child of Vietnam War Wins Top Maths Honour 19 August 2010, by P.S
Child of Vietnam war wins top maths honour 19 August 2010, by P.S. Jayaram Vietnamese-born mathematician Ngo Bao Chau Presented every four years to two, three, or four on Thursday won the maths world's version of a mathematicians -- who must be under 40 years of Nobel Prize, the Fields Medal, cementing a journey age -- the medal comes with a cash prize of 15,000 that has taken him from war-torn Hanoi to the Canadian dollars (14,600 US dollars). pages of Time magazine. The only son of a physicist father and a mother who Ngo, 38, was awarded his medal in a ceremony at was a medical doctor, Ngo's mathematical abilities the International Congress of Mathematicians won him a place, aged 15, in a specialist class of meeting in the southern Indian city of Hyderabad. the Vietnam National University High School. The other three recipients were Israeli In 1988, he won a gold medal at the 29th mathematician Elon Lindenstrauss, Frenchman International Mathematical Olympiad and repeated Cedric Villani and Swiss-based Russian Stanislav the same feat the following year. Smirnov. After high school, he was offered a scholarship by Ngo, who was born in Hanoi in 1972 in the waning the French government to study in Paris. He years of the Vietnam war, was cited for his "brilliant obtained a PhD from the Universite Paris-Sud in proof" of a 30-year-old mathematical conundrum 1997 and became a professor there in 2005. known as the Fundamental Lemma. Earlier this year he became a naturalised French The proof offered a key stepping stone to citizen and accepted a professorship at the establishing and exploring a revolutionary theory University of Chicago. -
From Russia with Math
HERBHigher Education in Russia and Beyond From Russia with Math ISSUE 4(6) WINTER 2015 Dear colleagues, We are happy to present the sixth issue of Higher Education in Russia and Beyond, a journal that is aimed at bringing current Russian, Central Asian and Eastern European educational trends to the attention of the international higher education research community. The new issue unfolds the post-Soviet story of Russian mathematics — one of the most prominent academic fields. We invited the authors who could not only present the post-Soviet story of Russian math but also those who have made a contribution to its glory. The issue is structured into three parts. The first part gives a picture of mathematical education in the Soviet Union and modern Russia with reflections on the paths and reasons for its success. Two papers in the second section are devoted to the impact of mathematics in terms of scientific metrics and career prospects. They describe where Russian mathematicians find employment, both within and outside the academia. The last section presents various academic initiatives which highlight the specificity of mathematical education in contemporary Russia: international study programs, competitions, elective courses and other examples of the development of Russian mathematical school at leading universities. ‘Higher Education in Russia and Beyond’ editorial team Guest editor for this issue – Vladlen Timorin, professor and dean of the Faculty of Mathematics at National Research University Higher School of Economics. HSE National Research University Higher School of Economics Higher School of Economics incorporates 49 research is the largest center of socio-economic studies and one of centers and 14 international laboratories, which are the top-ranked higher education institutions in Eastern involved in fundamental and applied research. -
Public Recognition and Media Coverage of Mathematical Achievements
Journal of Humanistic Mathematics Volume 9 | Issue 2 July 2019 Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre University of Alicante Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Arts and Humanities Commons, and the Mathematics Commons Recommended Citation Sepulcre, J. "Public Recognition and Media Coverage of Mathematical Achievements," Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 93-129. DOI: 10.5642/ jhummath.201902.08 . Available at: https://scholarship.claremont.edu/jhm/vol9/iss2/8 ©2019 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre Department of Mathematics, University of Alicante, Alicante, SPAIN [email protected] Synopsis This report aims to convince readers that there are clear indications that society is increasingly taking a greater interest in science and particularly in mathemat- ics, and thus society in general has come to recognise, through different awards, privileges, and distinctions, the work of many mathematicians.