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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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  • ISBN 978-0-8176-4467-3
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Hardcover $219.99
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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 (17 chapters)

  • The Interaction between Geometry and Physics

    Atiyah, Michael

    Pages 1-15

  • Uhlenbeck Spaces via Affine Lie Algebras

    Braverman, Alexander (et al.)

    Pages 17-135

  • New Questions Related to the Topological Degree

    Brezis, Haïm

    Pages 137-154

  • Quantum Cobordisms and Formal Group Laws

    Coates, Tom (et al.)

    Pages 155-171

  • On the Foundations of Noncommutative Geometry

    Connes, A.

    Pages 173-204

Buy this book

eBook $169.00
price for USA in USD (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 $219.99
price for USA in USD
  • 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
41 b/w illustrations
Topics