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TWAS Fellowships Worldwide
CDC Round Table, ICTP April 2016 With science and engineering, countries can address challenges in agriculture, climate, health TWAS’s and energy. guiding principles 2 Food security Challenges Water quality for a Energy security new era Biodiversity loss Infectious diseases Climate change 3 A Globally, 81 nations fall troubling into the category of S&T- gap lagging countries. 48 are classified as Least Developed Countries. 4 The role of TWAS The day-to-day work of TWAS is focused in two critical areas: •Improving research infrastructure •Building a corps of PhD scholars 5 TWAS Research Grants 2,202 grants awarded to individuals and research groups (1986-2015) 6 TWAS’ AIM: to train 1000 PhD students by 2017 Training PhD-level scientists: •Researchers and university-level educators •Future leaders for science policy, business and international cooperation Rapidly growing opportunities P BRAZIL A K I N D I CA I RI A S AF TH T SOU A N M KENYA EX ICO C H I MALAYSIA N A IRAN THAILAND TWAS Fellowships Worldwide NRF, South Africa - newly on board 650+ fellowships per year PhD fellowships +460 Postdoctoral fellowships +150 Visiting researchers/professors + 45 17 Programme Partners BRAZIL: CNPq - National Council MALAYSIA: UPM – Universiti for Scientific and Technological Putra Malaysia WorldwideDevelopment CHINA: CAS - Chinese Academy of KENYA: icipe – International Sciences Centre for Insect Physiology and Ecology INDIA: CSIR - Council of Scientific MEXICO: CONACYT– National & Industrial Research Council on Science and Technology PAKISTAN: CEMB – National INDIA: DBT - Department of Centre of Excellence in Molecular Biotechnology Biology PAKISTAN: ICCBS – International Centre for Chemical and INDIA: IACS - Indian Association Biological Sciences for the Cultivation of Science PAKISTAN: CIIT – COMSATS Institute of Information INDIA: S.N. -
Millennium Prize for the Poincaré
FOR IMMEDIATE RELEASE • March 18, 2010 Press contact: James Carlson: [email protected]; 617-852-7490 See also the Clay Mathematics Institute website: • The Poincaré conjecture and Dr. Perelmanʼs work: http://www.claymath.org/poincare • The Millennium Prizes: http://www.claymath.org/millennium/ • Full text: http://www.claymath.org/poincare/millenniumprize.pdf First Clay Mathematics Institute Millennium Prize Announced Today Prize for Resolution of the Poincaré Conjecture a Awarded to Dr. Grigoriy Perelman The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture. The citation for the award reads: The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman. The Poincaré conjecture is one of the seven Millennium Prize Problems established by CMI in 2000. The Prizes were conceived to record some of the most difficult problems with which mathematicians were grappling at the turn of the second millennium; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; to emphasize the importance of working towards a solution of the deepest, most difficult problems; and to recognize achievement in mathematics of historical magnitude. The award of the Millennium Prize to Dr. Perelman was made in accord with their governing rules: recommendation first by a Special Advisory Committee (Simon Donaldson, David Gabai, Mikhail Gromov, Terence Tao, and Andrew Wiles), then by the CMI Scientific Advisory Board (James Carlson, Simon Donaldson, Gregory Margulis, Richard Melrose, Yum-Tong Siu, and Andrew Wiles), with final decision by the Board of Directors (Landon T. -
Fall 2017 MATH 70330 “Intermediate Geometry and Topology” Pavel Mnev Detailed Plan. I. Characteristic Classes. (A) Fiber/Vec
Fall 2017 MATH 70330 \Intermediate Geometry and Topology" Pavel Mnev Detailed plan. I. Characteristic classes. (a) Fiber/vector/principal bundles. Examples. Connections, curvature. Rie- mannian case. Ref: [MT97]. (b) (2 classes.) Stiefel-Whitney, Chern and Pontryagin classes { properties, axiomatic definition. Classifying map and classifying bundle. RP 1; CP 1, infinite Grassmanians Gr(n; 1), CW structure, cohomology ring (univer- sal characteristic classes). Characteristic classes as obstructions (e.g. for embeddability of projective spaces). Euler class. Also: Chern character, splitting principle, Chern roots. Also: BG for a finite group/Lie group, group cohomology. Ref: [MS74]; also: [BT82, Hat98, LM98, May99]. (c) Chern-Weil homomorphism. Example: Chern-Gauss-Bonnet formula. Chern- Simons forms. Ref: Appendix C in [MS74]; [AM05, Dup78, MT97]. (d) Equivariant cohomology. Borel model (homotopy quotient), algebraic ver- sion { Cartan and Weil models. Ref: [GS99, Mei06, Tu13]. II. Bits of symplectic geometry. (a) Symplectic linear algebra, Lagrangian Grassmanian, Maslov class. Ref: [BW97, Ran, MS17]. (b) Symplectic manifolds, Darboux theorem (proof via Moser's trick). Dis- tinguished submanifolds (isotropic, coisotropic, Lagrangian). Examples. Constructions of Lagrangians in T ∗M (graph, conormal bundle). Ref: [DS00]. (c) Hamiltonian group actions, moment maps, symplectic reduction. Ref: [Jef] (lectures 2{4,7), [DS00]. (d) (Optional) Convexity theorem (Atyiah-Guillemin-Sternberg) for the mo- ment map of a Hamiltonian torus action. Toric varieties as symplectic re- ductions, their moment polytopes, Delzant's theorem. Ref: [Pra99, Sch], Part XI in [DS00], lectures 5,6 in [Jef]. (e) Localization theorems: Duistermaat-Heckman and Atiyah-Bott. Ref: [Mei06, Tu13], [Jef] (lecture 10). (f) (Optional) Classical field theory via Lagrangian correspondences. -
4. a Close Call: How a Near Failure Propelled Me to Succeed By
Early Career When I entered graduate study at Princeton, I brought A Close Call: How a my study habits (or lack thereof) with me. At the time in Princeton, the graduate classes did not have any home- Near Failure Propelled work or tests; the only major examination one had to pass (apart from some fairly easy language requirements) were Me to Succeed the dreaded “generals’’—the oral qualifying exams, often lasting over two hours, that one would take in front of Terence Tao three faculty members, usually in one’s second year. The questions would be drawn from five topics: real analysis, For as long as I can remember, I was always fascinated by complex analysis, algebra, and two topics of the student’s numbers and the formal symbolic operations of mathe- choice. For most of the other graduate students in my year, matics, even before I knew the uses of mathematics in the preparing for the generals was a top priority; they would real world. One of my earliest childhood memories was read textbooks from cover to cover, organise study groups, demanding that my grandmother, who was washing the and give each other mock exams. It had become a tradition windows, put detergent on the windows in the shape of for every graduate student taking the generals to write up numbers. When I was particularly rowdy as a child, my the questions they received and the answers they gave for parents would sometimes give me a math workbook to future students to practice. There were even skits performed work on instead, which I was more than happy to do. -
February 2007
THE LONDON MATHEMATICAL SOCIETY NEWSLETTER No. 356 February 2007 Forthcoming NEXT STEPS a problem with any transfer- ence of the existing two such Society INITIATIVE grades within the IMA (Fellow Meetings The second meeting of the and Member) into a new Joint Planning Group to body. This problem needs to 2007 develop the framework for a be resolved and it was agreed Friday 9 February possible unification of the to ask two individuals to draft London IMA and LMS took place on opposing papers as a basis for P. Maini 6 December 2006. Verbal further and fuller discussion. A. Stevens reports from Council meet- The Group went on to con- (Mary Cartwright ings of both bodies were sider proposals for a Lecture) given. The LMS Council had Constitution. Good progress [page 3] been the less satisfied of the was made on matters of rep- 1 two with the three papers – resentation: the future Friday 20 April Vision and Mission, Council, elections to it, co- Midlands Regional Constitution and Membership option, constituencies, its Meeting – that the Group had pro- Boards, Committees and serv- Loughborough duced for them. They asked ice areas. There was general Y. Colin de Verdière for improvements to the agreement on the principles F. Kirwan Vision and Mission paper and that would underlie the draft- O. Viro expressed concerns over the ing of a Charter, By-Laws and proposed membership struc- Regulations and on the ring- Tuesday 24 April ture. By contrast the IMA fencing and protection of the David Crighton Council was reported to LMS research funds. -
View This Volume's Front and Back Matter
Expansion in Finite Simple Groups of Lie Type Terence Tao Graduate Studies in Mathematics Volume 164 American Mathematical Society Expansion in Finite Simple Groups of Lie Type https://doi.org/10.1090//gsm/164 Expansion in Finite Simple Groups of Lie Type Terence Tao Graduate Studies in Mathematics Volume 164 American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Dan Abramovich Daniel S. Freed Rafe Mazzeo (Chair) Gigliola Staffilani 2010 Mathematics Subject Classification. Primary 05C81, 11B30, 20C33, 20D06, 20G40. For additional information and updates on this book, visit www.ams.org/bookpages/gsm-164 Library of Congress Cataloging-in-Publication Data Tao, Terence, 1975 Expansion in finite simple groups of Lie type / Terence Tao. pages cm. – (Graduate studies in mathematics ; volume 164) Includes bibliographical references and index. ISBN 978-1-4704-2196-0 (alk. paper) 1. Finite simple groups. 2. Lie groups. I. Title. QA387.T356 2015 512.482–dc23 2014049154 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are handled by Copyright Clearance Center’s RightsLink service. For more information, please visit: http://www.ams.org/rightslink. Send requests for translation rights and licensed reprints to [email protected]. -
Linking Together Members of the Mathematical Carlos Rocha, University of Lisbon; Jean Taylor, Cour- Community from the US and Abroad
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Features Epimorphism Theorem Prime Numbers Interview J.-P. Bourguignon Societies European Physical Society Research Centres ESI Vienna December 2013 Issue 90 ISSN 1027-488X S E European M M Mathematical E S Society Cover photo: Jean-François Dars Mathematics and Computer Science from EDP Sciences www.esaim-cocv.org www.mmnp-journal.org www.rairo-ro.org www.esaim-m2an.org www.esaim-ps.org www.rairo-ita.org Contents Editorial Team European Editor-in-Chief Ulf Persson Matematiska Vetenskaper Lucia Di Vizio Chalmers tekniska högskola Université de Versailles- S-412 96 Göteborg, Sweden St Quentin e-mail: [email protected] Mathematical Laboratoire de Mathématiques 45 avenue des États-Unis Zdzisław Pogoda 78035 Versailles cedex, France Institute of Mathematicsr e-mail: [email protected] Jagiellonian University Society ul. prof. Stanisława Copy Editor Łojasiewicza 30-348 Kraków, Poland Chris Nunn e-mail: [email protected] Newsletter No. 90, December 2013 119 St Michaels Road, Aldershot, GU12 4JW, UK Themistocles M. Rassias Editorial: Meetings of Presidents – S. Huggett ............................ 3 e-mail: [email protected] (Problem Corner) Department of Mathematics A New Cover for the Newsletter – The Editorial Board ................. 5 Editors National Technical University Jean-Pierre Bourguignon: New President of the ERC .................. 8 of Athens, Zografou Campus Mariolina Bartolini Bussi GR-15780 Athens, Greece Peter Scholze to Receive 2013 Sastra Ramanujan Prize – K. Alladi 9 (Math. Education) e-mail: [email protected] DESU – Universitá di Modena e European Level Organisations for Women Mathematicians – Reggio Emilia Volker R. Remmert C. Series ............................................................................... 11 Via Allegri, 9 (History of Mathematics) Forty Years of the Epimorphism Theorem – I-42121 Reggio Emilia, Italy IZWT, Wuppertal University [email protected] D-42119 Wuppertal, Germany P. -
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron. Buchstaber, Victor M and Ray, Nigel 2008 MIMS EPrint: 2008.31 Manchester Institute for Mathematical Sciences School of Mathematics The University of Manchester Reports available from: http://eprints.maths.manchester.ac.uk/ And by contacting: The MIMS Secretary School of Mathematics The University of Manchester Manchester, M13 9PL, UK ISSN 1749-9097 Contemporary Mathematics An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron Victor M Buchstaber and Nigel Ray 1. An Invitation Motivation. Sometime around the turn of the recent millennium, those of us in Manchester and Moscow who had been collaborating since the mid-1990s began using the term toric topology to describe our widening interests in certain well-behaved actions of the torus. Little did we realise that, within seven years, a significant international conference would be planned with the subject as its theme, and delightful Japanese hospitality at its heart. When first asked to prepare this article, we fantasised about an authorita- tive and comprehensive survey; one that would lead readers carefully through the foothills above which the subject rises, and provide techniques for gaining sufficient height to glimpse its extensive mathematical vistas. All this, and more, would be illuminated by references to the wonderful Osaka lectures! Soon afterwards, however, reality took hold, and we began to appreciate that such a task could not be completed to our satisfaction within the timescale avail- able. Simultaneously, we understood that at least as valuable a service could be rendered to conference participants by an invitation to a wider mathematical au- dience - an invitation to savour the atmosphere and texture of the subject, to consider its geology and history in terms of selected examples and representative literature, to glimpse its exciting future through ongoing projects; and perhaps to locate favourite Osaka lectures within a novel conceptual framework. -
November 2013
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 430 November 2013 Society MeetingsSociety ONE THOUSAND to publicise LMS activities and Meetings AND COUNTING mathematics more generally, and Events and leave with a range of pub- and Events Three hundred people visited De lications including the Annual 2013 Morgan House on Sunday 22 Sep- Review and information about tember 2013 as part of the an- membership, grants and Women Friday 15 November nual London Open House event. in Mathematics. LMS Graduate Student Since first participating in Open The feedback from visitors Meeting, London House three years ago over 1,000 was again very positive. The LMS page 4 people have visited De Morgan will continue to develop its pres- Friday 15 November House, learning about the Society ence at the event and is already LMS AGM, London and mathematics more generally. discussing a more comprehen- page 5 sive programme for next year. 1 Monday 16 December SW & South Wales 2013 ELECTIONS Regional Meeting, TO COUNCIL AND Swansea page 13 NOMINATING 18-20 December COMMITTEE LMS Prospects in Members should now have re- Mathematics, Durham ceived a communication from the page 14 Electoral Reform Society (ERS) for both e-voting and paper ballot. 2014 For online voting, members may cast a vote by going to www.vote- Friday 28 February byinternet.com/LMS2013 and us- Mary Cartwright ing the two part security code on Lecture, York the email sent by the ERS and also Monday 31 March on their ballot paper. Northern Regional All members are asked to look Meeting, Durham out for communication from page 19 At this year’s event visitors the ERS. -
Memorial Tributes: Volume 15
THE NATIONAL ACADEMIES PRESS This PDF is available at http://nap.edu/13160 SHARE Memorial Tributes: Volume 15 DETAILS 444 pages | 6 x 9 | HARDBACK ISBN 978-0-309-21306-6 | DOI 10.17226/13160 CONTRIBUTORS GET THIS BOOK National Academy of Engineering FIND RELATED TITLES Visit the National Academies Press at NAP.edu and login or register to get: – Access to free PDF downloads of thousands of scientific reports – 10% off the price of print titles – Email or social media notifications of new titles related to your interests – Special offers and discounts Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the National Academies Press. (Request Permission) Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 15 Memorial Tributes NATIONAL ACADEMY OF ENGINEERING Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 15 Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 15 NATIONAL ACADEMY OF ENGINEERING OF THE UNITED STATES OF AMERICA Memorial Tributes Volume 15 THE NATIONAL ACADEMIES PRESS Washington, D.C. 2011 Copyright National Academy of Sciences. All rights reserved. Memorial Tributes: Volume 15 International Standard Book Number-13: 978-0-309-21306-6 International Standard Book Number-10: 0-309-21306-1 Additional copies of this publication are available from: The National Academies Press 500 Fifth Street, N.W. Lockbox 285 Washington, D.C. 20055 800–624–6242 or 202–334–3313 (in the Washington metropolitan area) http://www.nap.edu Copyright 2011 by the National Academy of Sciences. -
Margaret Dusa Mcduff Hon Dsc Warwick Oral Version
Margaret Dusa McDuff Hon DSc Warwick oral version Mr Vice Chancellor, Graduates, Graduands, Ladies and Gentlemen, We have with us today a mathematician whose work has opened a hugely fertile new branch of mathematics. She has brought symplectic geometry and topology to the attention of the mathematical world. Dusa McDuff is Professor of Mathematics at Barnard College in New York. Born in London, Dusa grew up in Edinburgh, where her father the influential biologist C.H. Waddington was Professor of Genetics. Dusa wanted to be a mathematician from an early age. She studied in Edinburgh then Cambridge. Her doctoral work was published in the top journal Annals of Mathematics and remains important today. Subsequently Dusa studied in Moscow with the great Russian mathematician Israel Gelfand. After various temporary posts, in 1976 she was appointed to a lectureship at Warwick. However in 1978 she moved to the State University of New York at Stony Brook. In 2007 she was appointed to the Kimmel chair at Barnard, sister college to Columbia University. Shortly after her move to the US, Dusa's research shifted towards symplectic geometry. This subject has its origins in mechanics and continues to be important in various branches of physics. In topology the objects are flabby, and in geometry they are rigid. Symplectic geometry sits in between. In the late 1970s symplectic geometry was beginning to develop in completely new directions, spurred by deep ideas introduced by Mikhail Gromov (one of the world's most creative living mathematicians). Over the years Dusa and her students have played a central role in developing this new field called symplectic topology. -
Strings and Geometry
Clay Mathematics Proceedings This volume is the proceedings of Volume 3 the 2002 Clay Mathematics Institute 3 School on Geometry and String Theory. This month-long program Strings and was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various G STRINGS AND concepts of algebraic geometry eometry and string theory with a focus on improving communication between GEOMETRY these two fields. During the latter Proceedings of the part of the program there were also Clay Mathematics Institute a number of research level talks. 2002 Summer School This volume contains a selection of expository and research articles Isaac Newton Institute by lecturers at the school, and D Cambridge, United Kingdom highlights some of the current ouglas, interests of researchers working March 24–April 20, 2002 at the interface between string theory and algebraic geometry. The topics covered include manifolds G Michael Douglas of special holonomy, supergravity, auntlett and Jerome Gauntlett supersymmetry, D-branes, the McKay correspondence and the Mark Gross Fourier-Mukai transform. Editors G ross, Editors CMIP/3 www.ams.org American Mathematical Society AMS www.claymath.org CMI Clay Mathematics Institute 4-color process 392 pages • 3/4” spine STRINGS AND GEOMETRY Clay Mathematics Proceedings Volume 3 STRINGS AND GEOMETRY Proceedings of the Clay Mathematics Institute 2002 Summer School on Strings and Geometry Isaac Newton Institute Cambridge, United Kingdom March 24–April 20, 2002 Michael Douglas Jerome Gauntlett Mark Gross Editors American Mathematical Society Clay Mathematics Institute 2000 Mathematics Subject Classification.