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Journal of Geometry and Physics
JOURNAL OF GEOMETRY AND PHYSICS AUTHOR INFORMATION PACK TABLE OF CONTENTS XXX . • Description p.1 • Audience p.2 • Impact Factor p.2 • Abstracting and Indexing p.2 • Editorial Board p.2 • Guide for Authors p.4 ISSN: 0393-0440 DESCRIPTION . The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems AUTHOR INFORMATION PACK 2 Oct 2021 www.elsevier.com/locate/geomphys 1 • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity Benefits to authors We also provide many author benefits, such as free PDFs, a liberal copyright policy, special discounts on Elsevier publications and much more. -
Mathematical
2-12 JULY 2011 MATHEMATICAL HOST AND VENUE for Students Jacobs University Scientific Committee Étienne Ghys (École Normale The summer school is based on the park-like campus of Supérieure de Lyon, France), chair Jacobs University, with lecture halls, library, small group study rooms, cafeterias, and recreation facilities within Frances Kirwan (University of Oxford, UK) easy walking distance. Dierk Schleicher (Jacobs University, Germany) Alexei Sossinsky (Moscow University, Russia) Jacobs University is an international, highly selective, Sergei Tabachnikov (Penn State University, USA) residential campus university in the historic Hanseatic Anatoliy Vershik (St. Petersburg State University, Russia) city of Bremen. It features an attractive math program Wendelin Werner (Université Paris-Sud, France) with personal attention to students and their individual interests. Jean-Christophe Yoccoz (Collège de France) Don Zagier (Max Planck-Institute Bonn, Germany; › Home to approximately 1,200 students from over Collège de France) 100 different countries Günter M. Ziegler (Freie Universität Berlin, Germany) › English language university › Committed to excellence in higher education Organizing Committee › Has a special program with fellowships for the most Anke Allner (Universität Hamburg, Germany) talented students in mathematics from all countries Martin Andler (Université Versailles-Saint-Quentin, › Venue of the 50th International Mathematical Olympiad France) (IMO) 2009 Victor Kleptsyn (Université de Rennes, France) Marcel Oliver (Jacobs University, Germany) For more information about the mathematics program Stephanie Schiemann (Freie Universität Berlin, Germany) at Jacobs University, please visit: Dierk Schleicher (Jacobs University, Germany) math.jacobs-university.de Sergei Tabachnikov (Penn State University, USA) at Jacobs University, Bremen The School is an initiative in the framework of the European Campus of Excellence (ECE). -
Notices of the American Mathematical Society
ISSN 0002-9920 of the American Mathematical Society February 2006 Volume 53, Number 2 Math Circles and Olympiads MSRI Asks: Is the U.S. Coming of Age? page 200 A System of Axioms of Set Theory for the Rationalists page 206 Durham Meeting page 299 San Francisco Meeting page 302 ICM Madrid 2006 (see page 213) > To mak• an antmat•d tub• plot Animated Tube Plot 1 Type an expression in one or :;)~~~G~~~t;~~i~~~~~~~~~~~~~:rtwo ' 2 Wrth the insertion point in the 3 Open the Plot Properties dialog the same variables Tl'le next animation shows • knot Plot 30 Animated + Tube Scientific Word ... version 5.5 Scientific Word"' offers the same features as Scientific WorkPlace, without the computer algebra system. Editors INTERNATIONAL Morris Weisfeld Editor-in-Chief Enrico Arbarello MATHEMATICS Joseph Bernstein Enrico Bombieri Richard E. Borcherds Alexei Borodin RESEARCH PAPERS Jean Bourgain Marc Burger James W. Cogdell http://www.hindawi.com/journals/imrp/ Tobias Colding Corrado De Concini IMRP provides very fast publication of lengthy research articles of high current interest in Percy Deift all areas of mathematics. All articles are fully refereed and are judged by their contribution Robbert Dijkgraaf to the advancement of the state of the science of mathematics. Issues are published as S. K. Donaldson frequently as necessary. Each issue will contain only one article. IMRP is expected to publish 400± pages in 2006. Yakov Eliashberg Edward Frenkel Articles of at least 50 pages are welcome and all articles are refereed and judged for Emmanuel Hebey correctness, interest, originality, depth, and applicability. Submissions are made by e-mail to Dennis Hejhal [email protected]. -
CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics
CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics, Princeton University, Princeton, NJ June 1980 M.A. Mathematics, Princeton University, Princeton, NJ June 1977 B.S. Mathematics, M.I.T., Cambridge, MA June 1976 Ph.D. Advisor William P. Thurston POSITIONS 1980-1981 NSF Postdoctoral Fellow, Harvard University 1981-1983 Benjamin Pierce Assistant Professor, Harvard University 1983-1986 Assistant Professor, University of Pennsylvania 1986-1988 Associate Professor, California Institute of Technology 1988-2001 Professor of Mathematics, California Institute of Technology 2001- Professor of Mathematics, Princeton University 2012-2019 Chair, Department of Mathematics, Princeton University 2009- Hughes-Rogers Professor of Mathematics, Princeton University VISITING POSITIONS 1982-1983 Member, Institute for Advanced Study, Princeton, NJ 1984-1985 Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA 1985-1986 Member, IHES, France Fall 1989 Member, Institute for Advanced Study, Princeton, NJ Spring 1993 Visiting Fellow, Mathematics Institute University of Warwick, Warwick England June 1994 Professor Invité, Université Paul Sabatier, Toulouse France 1996-1997 Research Professor, MSRI, Berkeley, CA August 1998 Member, Morningside Research Center, Beijing China Spring 2004 Visitor, Institute for Advanced Study, Princeton, NJ Spring 2007 Member, Institute for Advanced Study, Princeton, NJ 2015-2016 Member, Institute for Advanced Study, Princeton, NJ Fall 2019 Visitor, Mathematical Institute, University of Oxford Spring 2020 -
“To Be a Good Mathematician, You Need Inner Voice” ”Огонёкъ” Met with Yakov Sinai, One of the World’S Most Renowned Mathematicians
“To be a good mathematician, you need inner voice” ”ОгонёкЪ” met with Yakov Sinai, one of the world’s most renowned mathematicians. As the new year begins, Russia intensifies the preparations for the International Congress of Mathematicians (ICM 2022), the main mathematical event of the near future. 1966 was the last time we welcomed the crème de la crème of mathematics in Moscow. “Огонёк” met with Yakov Sinai, one of the world’s top mathematicians who spoke at ICM more than once, and found out what he thinks about order and chaos in the modern world.1 Committed to science. Yakov Sinai's close-up. One of the most eminent mathematicians of our time, Yakov Sinai has spent most of his life studying order and chaos, a research endeavor at the junction of probability theory, dynamical systems theory, and mathematical physics. Born into a family of Moscow scientists on September 21, 1935, Yakov Sinai graduated from the department of Mechanics and Mathematics (‘Mekhmat’) of Moscow State University in 1957. Andrey Kolmogorov’s most famous student, Sinai contributed to a wealth of mathematical discoveries that bear his and his teacher’s names, such as Kolmogorov-Sinai entropy, Sinai’s billiards, Sinai’s random walk, and more. From 1998 to 2002, he chaired the Fields Committee which awards one of the world’s most prestigious medals every four years. Yakov Sinai is a winner of nearly all coveted mathematical distinctions: the Abel Prize (an equivalent of the Nobel Prize for mathematicians), the Kolmogorov Medal, the Moscow Mathematical Society Award, the Boltzmann Medal, the Dirac Medal, the Dannie Heineman Prize, the Wolf Prize, the Jürgen Moser Prize, the Henri Poincaré Prize, and more. -
CURRICULUM VITAE November 2007 Hugo J
CURRICULUM VITAE November 2007 Hugo J. Woerdeman Professor and Department Head Office address: Home address: Department of Mathematics 362 Merion Road Drexel University Merion, PA 19066 Philadelphia, PA 19104 Phone: (610) 664-2344 Phone: (215) 895-2668 Fax: (215) 895-1582 E-mail: [email protected] Academic employment: 2005– Department of Mathematics, Drexel University Professor and Department Head (January 2005 – Present) 1989–2004 Department of Mathematics, College of William and Mary, Williamsburg, VA. Margaret L. Hamilton Professor of Mathematics (August 2003 – December 2004) Professor (July 2001 – December 2004) Associate Professor (September 1995 – July 2001) Assistant Professor (August 1989 – August 1995; on leave: ’89/90) 2002-03 Department of Mathematics, K. U. Leuven, Belgium, Visiting Professor Post-doctorate: 1989– 1990 University of California San Diego, Advisor: J. W. Helton. Education: Ph. D. degree in mathematics from Vrije Universiteit, Amsterdam, 1989. Thesis: ”Matrix and Operator Extensions”. Advisor: M. A. Kaashoek. Co-advisor: I. Gohberg. Doctoraal (equivalent of M. Sc.), Vrije Universiteit, Amsterdam, The Netherlands, 1985. Thesis: ”Resultant Operators and the Bezout Equation for Analytic Matrix Functions”. Advisor: L. Lerer Current Research Interests: Modern Analysis: Operator Theory, Matrix Analysis, Optimization, Signal and Image Processing, Control Theory, Quantum Information. Editorship: Associate Editor of SIAM Journal of Matrix Analysis and Applications. Guest Editor for a Special Issue of Linear Algebra and -
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Arxiv:1402.0409V1 [Math.HO]
THE PICARD SCHEME STEVEN L. KLEIMAN Abstract. This article introduces, informally, the substance and the spirit of Grothendieck’s theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger historical record. 1. Introduction A scientific biography should be written in which we indicate the “flow” of mathematics ... discussing a certain aspect of Grothendieck’s work, indicating possible roots, then describing the leap Grothendieck made from those roots to general ideas, and finally setting forth the impact of those ideas. Frans Oort [60, p. 2] Alexander Grothendieck sketched his proof of the existence of the Picard scheme in his February 1962 Bourbaki talk. Then, in his May 1962 Bourbaki talk, he sketched his proofs of various general properties of the scheme. Shortly afterwards, these two talks were reprinted in [31], commonly known as FGA, along with his commentaries, which included statements of nine finiteness theorems that refine the single finiteness theorem in his May talk and answer several related questions. However, Grothendieck had already defined the Picard scheme, via the functor it represents, on pp.195-15,16 of his February 1960 Bourbaki talk. Furthermore, on p.212-01 of his February 1961 Bourbaki talk, he had announced that the scheme can be constructed by combining results on quotients sketched in that talk along with results on the Hilbert scheme to be sketched in his forthcoming May 1961 Bourbaki talk. Those three talks plus three earlier talks, which prepare the way, were also reprinted in [31]. arXiv:1402.0409v1 [math.HO] 3 Feb 2014 Moreover, Grothendieck noted in [31, p. -
The Scientific Context
Center for Quantum Geometry of Moduli Spaces Proposal for the Danish National Research Foundation The Scientific Context: The role of mathematics in our understanding of nature has been recognized for millennia. Its importance is especially poignant in modern theoretical physics as the cost of experiment escalates and the mathematical complexity of physical theories increases. Major challenge: Discover the mathematical mechanisms to define quantum field theory as a mathematical entity, to justify mathematically the recipes used by physicists, and to unify quantum theory with gravity. Classical and quantum mechanics rests on solid mathematical foundations, which were developed over the last two centuries. In contrast, quantum field theory, which plays a central role in modern theoretical physics, lacks a mathematical foundation. The mathematical difficulties involve averaging over infinite-dimensional spaces, which have defied rigorous interpretation and yet are effective in practice according to explicit recipes in physics. For example, the Standard Model of particle physics successfully predicts to a dozen decimals experimental results from high-energy colliders such as CERN or SLAC. Quantum field theory has enjoyed several important successes in the last two decades where a number of models were constructed despite the difficulties described above. In all these cases, the theory admits a large family of symmetries, and the problematic infinite-dimensional averages reduce to averages over smaller ensembles, called moduli spaces, which are in many cases finite-dimensional and permit mathematically rigorous calculations. Also, low-dimensional models unifying gravity with quantum theory have been developed successfully, and the key geometrical objects are again moduli spaces. Quantum geometry, so-named since the quantization arises from geometric methods designed to make a passage from classical geometry to quantum theory, plays the fundamental role in all these constructions. -
All That Math Portraits of Mathematicians As Young Researchers
Downloaded from orbit.dtu.dk on: Oct 06, 2021 All that Math Portraits of mathematicians as young researchers Hansen, Vagn Lundsgaard Published in: EMS Newsletter Publication date: 2012 Document Version Publisher's PDF, also known as Version of record Link back to DTU Orbit Citation (APA): Hansen, V. L. (2012). All that Math: Portraits of mathematicians as young researchers. EMS Newsletter, (85), 61-62. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. -
Analysis in Complex Geometry
1946-4 School and Conference on Differential Geometry 2 - 20 June 2008 Analysis in Complex Geometry Shing-Tung Yau Harvard University, Dept. of Mathematics Cambridge, MA 02138 United States of America Analysis in Complex Geometry Shing-Tung Yau Harvard University ICTP, June 18, 2008 1 An important question in complex geometry is to char- acterize those topological manifolds that admit a com- plex structure. Once a complex structure is found, one wants to search for the existence of algebraic or geo- metric structures that are compatible with the complex structure. 2 Most geometric structures are given by Hermitian met- rics or connections that are compatible with the com- plex structure. In most cases, we look for connections with special holonomy group. A connection may have torsion. The torsion tensor is not well-understood. Much more research need to be done especially for those Hermitian connections with special holonomy group. 3 Karen Uhlenbeck Simon Donaldson By using the theorem of Donaldson-Uhlenbeck-Yau, it is possible to construct special holonomy connections with torsion. Their significance in relation to complex or algebraic structure need to be explored. 4 K¨ahler metrics have no torsion and their geometry is very close to that of algebraic geometry. Yet, as was demonstrated by Voisin, there are K¨ahler manifolds that are not homotopy equivalent to any algebraic manifolds. The distinction between K¨ahler and algebraic geometry is therefore rather delicate. Erich K¨ahler 5 Algebraic geometry is a classical subject and there are several natural equivalences of algebraic manifolds: bi- rational equivalence, biregular equivalence, and arith- metic equivalence. -
Shtukas for Reductive Groups and Langlands Correspondence for Functions Fields
SHTUKAS FOR REDUCTIVE GROUPS AND LANGLANDS CORRESPONDENCE FOR FUNCTIONS FIELDS VINCENT LAFFORGUE This text gives an introduction to the Langlands correspondence for function fields and in particular to some recent works in this subject. We begin with a short historical account (all notions used below are recalled in the text). The Langlands correspondence [49] is a conjecture of utmost impor- tance, concerning global fields, i.e. number fields and function fields. Many excellent surveys are available, for example [39, 14, 13, 79, 31, 5]. The Langlands correspondence belongs to a huge system of conjectures (Langlands functoriality, Grothendieck’s vision of motives, special val- ues of L-functions, Ramanujan-Petersson conjecture, generalized Rie- mann hypothesis). This system has a remarkable deepness and logical coherence and many cases of these conjectures have already been es- tablished. Moreover the Langlands correspondence over function fields admits a geometrization, the “geometric Langlands program”, which is related to conformal field theory in Theoretical Physics. Let G be a connected reductive group over a global field F . For the sake of simplicity we assume G is split. The Langlands correspondence relates two fundamental objects, of very different nature, whose definition will be recalled later, • the automorphic forms for G, • the global Langlands parameters , i.e. the conjugacy classes of morphisms from the Galois group Gal(F =F ) to the Langlands b dual group G(Q`). b For G = GL1 we have G = GL1 and this is class field theory, which describes the abelianization of Gal(F =F ) (one particular case of it for Q is the law of quadratic reciprocity, which dates back to Euler, Legendre and Gauss). -
Prizes and Awards Session
PRIZES AND AWARDS SESSION Wednesday, July 12, 2021 9:00 AM EDT 2021 SIAM Annual Meeting July 19 – 23, 2021 Held in Virtual Format 1 Table of Contents AWM-SIAM Sonia Kovalevsky Lecture ................................................................................................... 3 George B. Dantzig Prize ............................................................................................................................. 5 George Pólya Prize for Mathematical Exposition .................................................................................... 7 George Pólya Prize in Applied Combinatorics ......................................................................................... 8 I.E. Block Community Lecture .................................................................................................................. 9 John von Neumann Prize ......................................................................................................................... 11 Lagrange Prize in Continuous Optimization .......................................................................................... 13 Ralph E. Kleinman Prize .......................................................................................................................... 15 SIAM Prize for Distinguished Service to the Profession ....................................................................... 17 SIAM Student Paper Prizes ....................................................................................................................