The Unity of Mathematics
In Honor of the Ninetieth Birthday of I.M. Gelfand
Editors: Etingof, Pavel, Retakh, Vladimir S., Singer, I. M. (Eds.)
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 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, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional 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; CH. 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 ST. Yau.
 Reviews

"This book is a unique and wonderful collection of papers presented at a conference honoring one of the most productive, influential and still young mathematicians of the 20th century, I. M. Gelfand. As the title suggests, the articles refer to the connections between several fields: geometry, physics, representation theory, algebraic geometry.... The authors of the papers are some of the best mathematicians of present day...[and] most of them emphasize the crucial contribution that Gelfand's work had in many different ways.... [T]he papers are unique, very deep and very well written. Mathematicians and graduate students will find lots of connections, ideas and inspiration in this wonderful collection of papers." —MAA
 Table of contents (17 chapters)


The Interaction between Geometry and Physics
Pages 115

Uhlenbeck Spaces via Affine Lie Algebras
Pages 17135

New Questions Related to the Topological Degree
Pages 137154

Quantum Cobordisms and Formal Group Laws
Pages 155171

On the Foundations of Noncommutative Geometry
Pages 173204

Table of contents (17 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 The Unity of Mathematics
 Book Subtitle
 In Honor of the Ninetieth Birthday of I.M. Gelfand
 Editors

 Pavel Etingof
 Vladimir S. Retakh
 I. M. Singer
 Series Title
 Progress in Mathematics
 Series Volume
 244
 Copyright
 2006
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Birkhäuser Boston
 eBook ISBN
 9780817644673
 DOI
 10.1007/0817644679
 Hardcover ISBN
 9780817640767
 Series ISSN
 07431643
 Edition Number
 1
 Number of Pages
 XXII, 632
 Number of Illustrations
 41 b/w illustrations
 Topics