Overview
- Tribute to the vision and legacy of Israel Moiseevich Gel'fand
- Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory
- Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program
Part of the book series: Progress in Mathematics (PM, volume 244)
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Table of contents (17 chapters)
Keywords
About this book
A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program.
Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics.
Contributors: M. Atiyah; A. Braverman; H. Brezis; T. Coates; A. Connes; S. Debacker; V. Drinfeld; L.D. Faddeev; M. Finkelberg; D. Gaitsgory; I.M. Gelfand; A. Givental; D. Kazhdan; M. Kontsevich; B. Kostant; C-H. Liu; K. Liu; G. Lusztig; D. McDuff; M. Movshev; N.A. Nekrasov; A. Okounkov; N. Reshetikhin; A. Schwarz; Y. Soibelman; C. Vafa; A.M. Vershik; N. Wallach; and S-T. Yau.
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Bibliographic Information
Book Title: The Unity of Mathematics
Book Subtitle: In Honor of the Ninetieth Birthday of I.M. Gelfand
Editors: Pavel Etingof, Vladimir Retakh, I. M. Singer
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/0-8176-4467-9
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2006
Hardcover ISBN: 978-0-8176-4076-7Published: 15 November 2005
eBook ISBN: 978-0-8176-4467-3Published: 31 May 2007
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XXII, 632
Number of Illustrations: 41 b/w illustrations
Topics: Geometry, Mathematical Methods in Physics, Topological Groups, Lie Groups, Algebraic Geometry, K-Theory, Group Theory and Generalizations