DOCSLIB.ORG

2010 Integral

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
2010 Integral Autumn 2010 Volume 5 Massachusetts Institute of Technology 1ntegral n e w s f r o m t h e mathematics d e p a r t m e n t a t m i t The retirement of seven of our illustrious col- leagues this year—Mike Artin, David Ben- Inside ney, Dan Kleitman, Arthur Mattuck, Is Sing- er, Dan Stroock, and Alar Toomre—marks • Faculty news 2–3 a shift to a new generation of faculty, from • Women in math 3 those who entered the field in the Sputnik era to those who never knew life without email • A minority perspective 4 and the Internet. The older generation built • Student news 4–5 the department into the academic power- house it is today—indeed they were the core • Funds for RSI and SPUR 5 of the department, its leadership and most • Retiring faculty and staff 6–7 distinguished members, during my early years at MIT. Now, as they are in the process • Alumni corner 8 of retiring, I look around and see that my con- temporaries are becoming the department’s Dear Friends, older group. Yikes! another year gone by and what a year it Other big changes are in the works. Two of Marina Chen have taken the lead in raising an was. We’re getting older, and younger, cele- our dedicated long-term administrators— endowment for them. Together with those of brating prizes and long careers, remembering Joanne Jonsson and Linda Okun—have Tim Lu ’79 and Peiti Tung ’79, their commit- our past and looking to the future. It is a re- stepped down from their positions running ments thus far reach over $1 million, a mar- markable time to be in Mathematics at MIT. the undergraduate and graduate offices. velous contribution whose income will cover This year continues our drive to renew our We’ve reorganized and combined those en- nearly half the cost of both RSI and SPUR. faculty. Five superb mathematicians have tities into a single office, Mathematics Aca- We’re grateful for their help. recently accepted offers to join our faculty: demic Services, under the leadership of our As MIT prepares to celebrate its 150th anni- Professors Alexei Borodin (representation new Academic Administrator, Jeffrey Kinna- versary this year, plans are forming for re- theory and probability) and Peter Ozsváth mon. He and our new Administrative Officer, storing the main group of Buildings 1 thru 10 (geometric topology), and Assistant Profes- Sarah Smith, will be modernizing departmen- over the next decade or so. We are conduct- sors Clark Barwick (algebraic topology), tal processes by moving record-keeping into ing an architectural study of the department’s Jacob Fox (combinatorics), and Sug Woo electronic databases, among other things. home in Building 2 in preparation for its ren- Shin (number theory). We are strengthening The Simons Lectures will continue in fine ovation, the timing of which will depend in our ties outside the department with the joint form again this year. Princeton’s Manjul part on fundraising success. appointments of Associate Professors Martin Bhargava and Cornell’s Steven Strogatz will We want to thank the members of our Visit- Bazant and Peko Hosoi, with ChemE and speak in the series in April. ing Committee, which met with department MechE respectively, and the appointment of The opportunity to teach fantastic students is members last spring and favorably reviewed Adjunct Professor Henry Cohn from Micro- one of the many blessings of being at MIT, our programs. John Reed, who served as soft Research, New England. and this year was exceptionally good. We Chair of the Mathematics Visiting Commit- Broadening our department’s gender and awarded 23 PhDs, nearly all of whom are tee for the past decade, has moved on to be racial diversity will have renewed emphasis moving on to postdocs or other positions de- Chair of the MIT Corporation, wonderful in recruitment at all levels in coming years. spite the tough job market. Our undergradu- news for the Institute. We hope that John’s Noted authority William Vélez will be a ates claimed one-third of the top (Honorable yet-to-be-announced replacement on our Vis- Martin Luther King Visiting Professor of Mention and higher) scores across all of iting Committee will be as committed to the Mathematics this spring, and we will aim to North America in the 2009 Putnam Competi- department as he has been. st understand and emulate his striking success tion, and our team won 1 place. Look inside for further details on these and at bringing underrepresented minorities into Our RSI and SPUR summer research pro- other stories. Have a good year! mathematics at the University of Arizona. grams for high-school and undergraduate Toby Colding and Paul Seidel received the students continue to produce amazing results, 2010 Oswald Veblen Prize in Geometry, a winning major prizes at the Intel and Siemens major recognition. Of the 27 individuals who Science Talent Searches. The department Michael Sipser have been honored with this prize since it currently supports these important programs Department Head was established in 1964, four are now on the with scarce discretionary funds, so we are MIT faculty. pleased to announce that Chi-Fu Huang and 2 New faculty Awards Alexei Borodin, Professor of Math- ematics, comes to MIT from Caltech, where he has been on the faculty since 2003. Borodin studies prob- lems on the interface of representa- tion theory and probability that link to combinatorics, random matrix the- ory, and integrable systems. In 2001 he received a long-term research fellowship from the Clay Mathemat- ics Institute. He was awarded the Prize of the Moscow Mathematical Society in 2003 and the Prize of the European Mathematical Society in 2008. Borodin received his PhD from the University of Pennsylva- Toby Colding and Paul Seidel received the 2010 AMS Oswald nia in 2001 under Alexandre Kirillov. Veblen Prize in Geometry, “awarded to Tobias H. Colding and William P. Minicozzi II for their profound work on minimal Peter Ozsváth, Professor of Mathemat- surfaces,” and for Paul Seidel’s “fundamental contributions to ics, joins the mathematics faculty this year. symplectic geometry and, in particular, for his development of A professor at Columbia University since advanced algebraic methods for computation of symplectic in- 2004, Ozsváth is a leading expert in low- variants.” John Bush was elected Fellow of the American Physi- dimensional geometric topology. In 2007, cal Society. Michael Artin, Tom Leighton, and Gil Strang were he received the AMS Oswald Veblen Prize each named SIAM Fellows. Tom Mrowka received a Guggen- in Geometry with Zoltán Szabó for their heim Fellowship. Katrin Wehrheim received an NSF PECASE work on a new class of invariants. He was a (Presidential Early Career Award for Scientists and Engineers). Guggenheim Fellow in 2008 and appointed Denis Auroux, Alexei Borodin, Kiran Kedlaya, Ivan Loseu, a Clay Research Scholar at MSRI in the James McKernan, and Scott Sheffield gave invited lectures at spring of 2010. Ozsváth received his PhD ICM 2010. Richard Stanley gave the AMS Colloquium Lec- from Princeton under John Morgan in 1994. tures and Peter Shor the AMS Josiah Willard Gibbs Lecture at Clark Barwick, Assistant Profes- the 2010 joint AMS-MAA-SIAM meeting. Abhinav Kumar re- sor of Mathematics, joins our faculty ceived an NSF CAREER Award. Jon Kelner received a Sloan from Harvard University, where he Research Fellowship. served as a Benjamin Peirce Lecturer. Katrin Wehrheim was promoted to Associate Professor. Barwick is an algebraic topologist in- terested in the interactions between Two of our staff were recognized for outstanding service this K-theory, homotopy theory, and al- year. Financial Administrator Danforth Nicholas received both gebraic geometry. He completed his the School of Science Infinite Kilometer Award and the MIT Ex- PhD at the University of Pennsylvania in 2005 under Tony Pantev, cellence Award. Administrative Officer Sarah Smith received and subsequently held postdoctoral appointments at the Mathematics the School of Science Infinite Mile Award. Institute in Göttingen, the University of Oslo, and the IAS. Jacob Fox joins MIT as a Simons Postdoctoral Fellow and Assistant Other recent faculty appointments Professor of Applied Mathematics. Henry Cohn, Adjunct Professor. A Principal His interests span extremal combina- Researcher at Microsoft Research, New England, torics, combinatorial geometry, and Cohn works across several fields in discrete probabilistic combinatorics. A gradu- mathematics, including computational and ate of MIT, Fox received both the analytic number theory, algebraic combinatorics, department’s Jon A. Bucsela prize and theoretical computer science. and the AMS-MAA-SIAM Frank and Brennie Morgan prize in 2006. He was recently awarded SIAM’s Dénes Anette (Peko) Hosoi, Associate Professor König Prize for outstanding research in discrete mathematics. He com- joint with Mechanical Engineering. Hosoi is pleted his PhD at Princeton University under Benny Sudakov in 2010. interested in instabilities in viscous flows, low Sug Woo Shin will join us as Assistant Pro- Reynolds number locomotion, and bioinspired fessor of Mathematics in September 2011. design. A number theorist, Sug Woo specializes in the Langlands program, connecting arith- metic geometry and representation theory. Martin Bazant, Associate Professor joint He completed his PhD at Harvard Univer- with Chemical Engineering. Bazant’s interests sity under Richard Taylor in 2007, and sub- include nonlinear electrokinetics, microfluidics, sequently held a Clay Liftoff Fellowship at and granular flow. the IAS. He is currently appointed as a Dickson Instructor at the Uni- versity of Chicago and will return to the IAS in 2010–11. 3 Women in Math @ MIT by Genevieve Wanucha concerns at the biannual tea parties to us- career possibilities in math. “But the math ing the resources on the new MIT Women community at MIT dispelled my fears,” she in Mathematics website.
Load more

Recommended publications
  • The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary
    The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary i Reproduction. The work may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents. In any reproduction, the original publication by the Publisher must be credited in the following manner: “First published in The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commen- tary, c 2002 by the Mathematical Association of America,” and the copyright notice in proper form must be placed on all copies. Ravi Vakil’s photo on p. 337 is courtesy of Gabrielle Vogel. c 2002 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2002107972 ISBN 0-88385-807-X Printed in the United States of America Current Printing (last digit): 10987654321 ii The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary Kiran S. Kedlaya University of California, Berkeley Bjorn Poonen University of California, Berkeley Ravi Vakil Stanford University Published and distributed by The Mathematical Association of America iii MAA PROBLEM BOOKS SERIES Problem Books is a series of the Mathematical Association of America consisting of collections of problems and solutions from annual mathematical competitions; compilations of problems (including unsolved problems) specific to particular branches of mathematics; books on the art and practice of problem solving, etc. Committee on Publications Gerald Alexanderson, Chair Roger Nelsen Editor Irl Bivens Clayton Dodge Richard Gibbs George Gilbert Art Grainger Gerald Heuer Elgin Johnston Kiran Kedlaya Loren Larson Margaret Robinson The Inquisitive Problem Solver, Paul Vaderlind, Richard K.
    [Show full text]
  • Poincaré Prize 2015 Alexei Borodin I Am Very Pleased and Honored To
    Poincar´ePrize 2015 Alexei Borodin I am very pleased and honored to give the laudatio for Alexei Borodin on his winning the Poincar´ePrize for 2015. Alexei was born and went to school in Donetsk in the Ukraine. In 1992 he was accepted into the famous \mech-mat" Department at Moscow State University, graduating in 1997. At Moscow State he began working with Grigori Olshanski in a marvelous collaboration that continues to this day. He received his PhD under Alexander Kirillov from the University of Pennsylvania in 2001. He was a professor at Caltech from 2003 to 2010, and since then he has been at MIT. I met Borodin about 15 years ago when he was a student at UPenn, and I have been following his career closely since then. His mathematical interests lie in the circle of ideas which connect the representation theory of \big" groups, combinatorics, integrable interacting particle systems and random matrix theory. When I met Borodin I was struck immediately by the freshness of his approach, combined with a professional maturity well beyond his years. He seemed to know and understand everything and I had to keep reminding myself that I was speaking to a young PhD student and not a seasoned colleague of many years standing. Borodin's mathematical and professional maturity was recognized with his very first academic appointment as a full Professor at Caltech in 2003. Following on earlier work of Kerov, Olshanski and Vershik, the key observation of Borodin and Olshanski in the representation theory of \big" groups, such as the infinite symmetric group and the infinite unitary group, is that the characters for the group are naturally associated with stochastic point processes.
    [Show full text]
  • Research Notices
    AMERICAN MATHEMATICAL SOCIETY Research in Collegiate Mathematics Education. V Annie Selden, Tennessee Technological University, Cookeville, Ed Dubinsky, Kent State University, OH, Guershon Hare I, University of California San Diego, La jolla, and Fernando Hitt, C/NVESTAV, Mexico, Editors This volume presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. The articles are peer-reviewed for two major features: (I) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding how students think about and learn mathematics. This series is published in cooperation with the Mathematical Association of America. CBMS Issues in Mathematics Education, Volume 12; 2003; 206 pages; Softcover; ISBN 0-8218-3302-2; List $49;AII individuals $39; Order code CBMATH/12N044 MATHEMATICS EDUCATION Also of interest .. RESEARCH: AGul<lelbrthe Mathematics Education Research: Hothomatldan- A Guide for the Research Mathematician --lllll'tj.M...,.a.,-- Curtis McKnight, Andy Magid, and -- Teri J. Murphy, University of Oklahoma, Norman, and Michelynn McKnight, Norman, OK 2000; I 06 pages; Softcover; ISBN 0-8218-20 16-8; List $20;AII AMS members $16; Order code MERN044 Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom Graduate Student Edition Faculty
    [Show full text]
  • Scientific Report for the Year 2000
    The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2000 Vienna, ESI-Report 2000 March 1, 2001 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2000 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2000 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2001 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506. [email protected] Director: Peter W. Michor: +43-1-3172047-16. [email protected] Director: Klaus Schmidt: +43-1-3172047-14. [email protected] Administration: Ulrike Fischer, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12, [email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Vaughan F.R. Jones (Berkeley), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 Wolfgang Pauli und die Physik des 20. Jahrhunderts . 3 Summer Session Seminar Sophus Lie . 3 PROGRAMS IN 2000 . 4 Duality, String Theory, and M-theory . 4 Confinement . 5 Representation theory . 7 Algebraic Groups, Invariant Theory, and Applications . 7 Quantum Measurement and Information . 9 CONTINUATION OF PROGRAMS FROM 1999 and earlier . 10 List of Preprints in 2000 . 13 List of seminars and colloquia outside of conferences .
    [Show full text]
  • The-St-Petersburg-Times-2014-12.Pdf
    NO. 12 (1804) САНКТ-ПЕТЕРБУРГ-ТАЙМС WEDNESDAY, APRIL 2, 2014 WWW.SPTIMES.RU ALEXANDER BELENKY / SPT Due to unseasonably warm weather, despite Monday’s brief snowstorm, the Neva River opened for navigation on Apr. 1, a month earlier than usual. Early- OPENING NIGHT morning openings of the drawbridges along the river are to be rolled out over the next few days. For the latest schedule of opening times, visit www.sptimes.ru. BUSINESS FEATURE Irina Prokhorova Russian Dogs TRAVEL Led to Greener Myshkin: Pastures Where The Mouse Is King International humane societies make it their The fairy-tale origin of a sleepy On publishing, education mission to find homes town along the Volga. Page 18. and social change. Page 9. for Russian dogs. Page 6. LocalNews www.sptimes.ru | Wednesday, April 2, 2014 ❖ 2 Ombudsman Releases Report on Human Rights By Sergey Chernov which led to the effective cancellation of THE ST. PETERSBURG TIMES screenings, while anti-gay groups gath- Xenophobia in the city rose to alarming ered outside festival venues and at- heights in 2013, sometimes resulting in tempted to force their way in. violent crime, St. Petersburg ombuds- The most serious offence took place man Alexander Shishlov pointed out in on Nov. 3, 2013, when two masked men the presentation for his annual report at entered the LGBT community center the Legislative Assembly on Mar. 26. LaSky and began shooting a pneumatic The year was marked by the right- firearm at those present. The attack left wing initiative called “Russian clean- LGBT activist Dmitry Chizhevsky blind ups,” directed against migrant vendors in one eye.
    [Show full text]
  • Mathematics People
    Mathematics People stipulated that the income should provide a prize for Scholze Awarded Ostrowski outstanding recent achievements in pure mathematics and Prize the foundations of numerical mathematics. Peter Scholze of the —From an Ostrowski Foundation announcement University of Bonn has been awarded the Os- trowski Prize for 2015 2015 Henri Poincaré Prizes “for his breakthrough work in arithmetic al- Awarded gebraic geometry.” The prize carries a cash The International Association of Mathematical Physics award of 100,000 Swiss (IAMP) has awarded the 2015 Henri Poincaré Prizes for francs (approximately mathematical physics to Thomas Spencer of the Insti- US$109,000). tute for Advanced Study, Princeton; Herbert Spohn of According to the Technische Universität München; and Alexei Borodin of prize citation, Scholze the Massachusetts Institute of Technology. Spencer was ©Astrid Slizewski/Uni Bonn. honored “for his seminal contributions to the theory of Peter Scholze was honored “for devel- oping the theory of per- phase transitions, the theory of disordered systems, and fectoid spaces and successfully applying the theory to constructive quantum field theory, including his proofs of address a number of difficult open questions. This theory the existences of broken symmetry phases and Anderson allows one to reduce problems about algebraic varieties localization, and his use of novel supersymmetry meth- over rings of mixed characteristic to problems about alge- ods.” Spohn was honored “for his seminal contributions to braic varieties over rings in a fixed positive characteristic. the theory of transitions from microscopic to macroscopic Scholze proved Deligne’s weight monodromy conjecture physics, including his derivation of kinetic and diffusive for varieties that are nonsingular complete intersections behavior from classical and quantum systems, and his in projective space using the theory of perfectoid spaces.
    [Show full text]
  • SCIENTIFIC REPORT for the 5 YEAR PERIOD 1993–1997 INCLUDING the PREHISTORY 1991–1992 ESI, Boltzmanngasse 9, A-1090 Wien, Austria
    The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the 5 Year Period 1993–1997 Including the Prehistory 1991–1992 Vienna, ESI-Report 1993-1997 March 5, 1998 Supported by Federal Ministry of Science and Transport, Austria http://www.esi.ac.at/ ESI–Report 1993-1997 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE 5 YEAR PERIOD 1993–1997 INCLUDING THE PREHISTORY 1991–1992 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 5, 1998 Table of contents THE YEAR 1991 (Paleolithicum) . 3 Report on the Workshop: Interfaces between Mathematics and Physics, 1991 . 3 THE YEAR 1992 (Neolithicum) . 9 Conference on Interfaces between Mathematics and Physics . 9 Conference ‘75 years of Radon transform’ . 9 THE YEAR 1993 (Start of history of ESI) . 11 Erwin Schr¨odinger Institute opened . 11 The Erwin Schr¨odinger Institute An Austrian Initiative for East-West-Collaboration . 11 ACTIVITIES IN 1993 . 13 Short overview . 13 Two dimensional quantum field theory . 13 Schr¨odinger Operators . 16 Differential geometry . 18 Visitors outside of specific activities . 20 THE YEAR 1994 . 21 General remarks . 21 FTP-server for POSTSCRIPT-files of ESI-preprints available . 22 Winter School in Geometry and Physics . 22 ACTIVITIES IN 1994 . 22 International Symposium in Honour of Boltzmann’s 150th Birthday . 22 Ergodicity in non-commutative algebras . 23 Mathematical relativity . 23 Quaternionic and hyper K¨ahler manifolds, . 25 Spinors, twistors and conformal invariants . 27 Gibbsian random fields . 28 CONTINUATION OF 1993 PROGRAMS . 29 Two-dimensional quantum field theory . 29 Differential Geometry . 29 Schr¨odinger Operators .
    [Show full text]
  • THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION 1985–2000 Problems, Solutions, and Commentary
    AMS / MAA PROBLEM BOOKS VOL 33 THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION 1985–2000 Problems, Solutions, and Commentary Kiran S. Kedlaya Bjorn Poonen Ravi Vakil 10.1090/prb/033 The William Lowell Putnam Mathematical Competition 1985-2000 Originally published by The Mathematical Association of America, 2002. ISBN: 978-1-4704-5124-0 LCCN: 2002107972 Copyright © 2002, held by the American Mathematical Society Printed in the United States of America. Reprinted by the American Mathematical Society, 2019 The American Mathematical Society retains all rights except those granted to the United States Government. ⃝1 The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at https://www.ams.org/ 10 9 8 7 6 5 4 3 2 24 23 22 21 20 19 AMS/MAA PROBLEM BOOKS VOL 33 The William Lowell Putnam Mathematical Competition 1985-2000 Problems, Solutions, and Commentary Kiran S. Kedlaya Bjorn Poonen Ravi Vakil MAA PROBLEM BOOKS SERIES Problem Books is a series of the Mathematical Association of America consisting of collections of problems and solutions from annual mathematical competitions; compilations of problems (including unsolved problems) specific to particular branches of mathematics; books on the art and practice of problem solving, etc. Committee on Publications Gerald Alexanderson, Chair Problem Books Series Editorial Board Roger Nelsen Editor Irl Bivens Clayton Dodge Richard Gibbs George Gilbert Art Grainger Gerald Heuer Elgin Johnston Kiran Kedlaya Loren Larson Margaret Robinson The Contest Problem Book VII: American Mathematics Competitions, 1995-2000 Contests, compiled and augmented by Harold B.
    [Show full text]
  • Rigid Cohomology for Algebraic Stacks
    Rigid Cohomology for Algebraic Stacks by David Michael Brown A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Mathematics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Kenneth Ribet, Chair Professor Arthur Ogus Professor Christos Papadimitriou Fall 2010 Rigid Cohomology for Algebraic Stacks Copyright 2010 by David Michael Brown 1 Abstract Rigid Cohomology for Algebraic Stacks by David Michael Brown Doctor of Philosophy in Mathematics University of California, Berkeley Professor Kenneth Ribet, Chair We extend le Stum's construction of the overconvergent site [lS09] to algebraic stacks. We prove that ´etalemorphisms are morphisms of cohomological descent for finitely presnted crystals on the overconvergent site. Finally, using the notion of an open subtopos of [73] we define a notion of overconvergent cohomology supported in a closed substack and show that it agrees with the classical notion of rigid cohomology supported in a closed subscheme. i Contents Preface 1 1 Introduction 2 1.1 Background . .3 1.1.1 Algebraic de Rham cohomology and crystals . .3 1.1.2 Weil cohomologies . .4 1.1.3 Rigid cohomology . .4 1.2 Rigid cohomology for algebraic stacks . .5 1.2.1 Outline and statement of results: . .6 2 Definitions 7 2.1 Notations and conventions . .7 2.2 The overconvergent site . .8 2.3 Calculus on the overconvergent site and comparison with the classical theory 14 2.4 The overconvergent site for stacks . 23 3 Cohomological descent 25 3.1 Background on cohomological descent . 26 3.2 Cohomological descent for overconvergent crystals .
    [Show full text]
  • Mathematics People
    Mathematics People The Ramanujan Prize is awarded annually to a re- Krishna Awarded ICTP-IMU searcher from a developing country who is younger than Ramanujan Prize forty-five years of age on December 31 of the year of the award and who has conducted outstanding research in a Amalendu Krishna of the Tata Insti- developing country. Researchers working in any branch of tute of Fundamental Research (TIFR) the mathematical sciences are eligible. The prize carries has been awarded the 2015 Ramanujan a cash award of US$15,000, and the recipient is invited to Prize of the Abdus Salam International deliver a lecture at ICTP. Centre for Theoretical Physics (ICTP), the International Mathematical Union —Elaine Kehoe (IMU), and the Department of Science and Technology of the Government of India. Krishna was recognized “for Church Receives First his outstanding contributions in the Duszenko Award area of algebraic K-theory, algebraic cycles and the theory of motives.” The Thomas Church of Stanford Amalendu Krishna prize citation reads in part: “In his University has been named the work, Krishna has shown an impres- inaugural recipient of the Kamil sive command of a very technical subject, applying the Duszenko Award. The award is modern theories of algebraic K-theory and Voevodsky’s given by the Wrocław Mathemati- theory of motives to study concrete problems. His results cians Foundation (WMF) for out- on 0-cycles on algebraic varieties with isolated singulari- standing work or research that ties effectively reduces their study to the corresponding has significantly contributed to study on the desingularization, together with information the deepening of knowledge and further progress in mathematics.
    [Show full text]
  • Jahresbericht Annual Report 2016
    Mathematisches Forschungsinstitut Oberwolfach Jahresbericht 2016 Annual Report www.mfo.de Herausgeber/Published by Mathematisches Forschungsinstitut Oberwolfach Direktor Gerhard Huisken Gesellschafter Gesellschaft für Mathematische Forschung e.V. Adresse Mathematisches Forschungsinstitut Oberwolfach gGmbH Schwarzwaldstr. 9-11 77709 Oberwolfach Germany Kontakt http://www.mfo.de [email protected] Tel: +49 (0)7834 979 0 Fax: +49 (0)7834 979 38 In diesem Bericht wurde an einigen Stellen die männliche Form lediglich aus Gründen der Vereinfachung gewählt. Dies dient der besseren Lesbarkeit. Entsprechende Begriffe gelten im Sinne der Gleichbehandlung grundsätzlich für Frauen und Männer. © Mathematisches Forschungsinstitut Oberwolfach gGmbH (2017) Jahresbericht 2016 – Annual Report 2016 Inhaltsverzeichnis/Table of Contents Vorwort des Direktors/Director’s foreword ............................................................................ 6 1. Besondere Beiträge/Special contributions 1.1. Modernisierung der Informations- und Kommunikationsinfrastruktur/ Modernisation of the information and communication infrastructure ............................... 8 1.2. Experiences of an Oberwolfach Leibniz Fellow ............................................................ 11 1.3. MiMa – Museum für Mineralien und Mathematik Oberwolfach/ MiMa – Museum for Minerals and Mathematics Oberwolfach ........................................ 13 1.4. IMAGINARY 2016 ................................................................................................... 15 1.5.
    [Show full text]
  • Lie Group Machine Learning on Statistical Drone Doppler & Kinematic Signatures
    December 3rd 2019 Souriau Symplectic Structures of Lie Group Machine Learning on Statistical Drone Doppler & Kinematic Signatures Frédéric BARBARESCO Key Technology Domain Processing, Control & Cognition KTD PCC « SENSING » Segment Leader ENS Ulm 1942 KTD PCC Representative for Thales Land & Air Systems www.thalesgroup.com OPEN Drone Detection, Tracking and Recognizing ▌ Drone Recognition The illegal use of drones requires development of systems capable of detecting, tracking and recognizing them in a non-collaborative manner, and this with sufficient anticipation to be able to engage interception means adapted to the threat. The small size of autonomous aircraft makes it difficult to detect them at long range with enough early warning with conventional techniques, and seems more suitable for observation by radar systems. However, the radio frequency detection of this type of object poses other difficulties to solve because of their slow speed which can make them confused with other mobile echoes such as those of land vehicles, birds and movements of vegetation agitated by atmospheric turbulences. It is therefore necessary to design robust classification methods of its echoes to ensure their discrimination with respect to criteria characterizing their movements (micro-movements of their moving parts and body kinematic movements). Applications of Geometric and Structure Preserving Methods OPEN 2 Cambridge University – Newton Institute, 03/12/19 Drone Recognition on Radar Doppler Signature of their moving parts ▌ Drone Radar Micro-Doppler Signature The first idea is to listen to the Doppler signature of the radar echo coming from the drone, which signs the radial velocity variations of the reflectance parts of the moving elements, like the blades.
    [Show full text]