Progress in Mathematics

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, 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.

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 (6 chapters)

  • Uhlenbeck Spaces via Affine Lie Algebras

    Alexander Braverman, Michael Finkelberg, Dennis Gaitsgory

    Pages 17-135

  • Infinite-Dimensional Vector Bundles in Algebraic Geometry

    Vladimir Drinfeld

    Pages 263-304

  • Mirror Symmetry and Localizations

    Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau

    Pages 421-442

  • Seiberg-Witten Theory and Random Partitions

    Nikita A. Nekrasov, Andrei Okounkov

    Pages 525-596

  • Quantum Calabi-Yau and Classical Crystals

    Andrei Okounkov, Nikolai Reshetikhin, Cumrun Vafa

    Pages 597-618

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-0-8176-4467-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-0-8176-4076-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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
978-0-8176-4467-3
DOI
10.1007/0-8176-4467-9
Hardcover ISBN
978-0-8176-4076-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXII, 632
Number of Illustrations and Tables
41 b/w illustrations
Topics