Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

The Unity of Mathematics

In Honor of the Ninetieth Birthday of I.M. Gelfand

  • Book
  • © 2006

Overview

Editors:
  1. Pavel Etingof

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Vladimir Retakh

    1. Department of Mathematics, Rutgers University, Piscataway, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. I. M. Singer

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xxii
    Download chapter PDF

  2. The Interaction between Geometry and Physics

    • Michael Atiyah
    Pages 1-15

  3. Uhlenbeck Spaces via Affine Lie Algebras

    • Alexander Braverman, Michael Finkelberg, Dennis Gaitsgory
    Pages 17-135

  4. New Questions Related to the Topological Degree

    • Haïm Brezis
    Pages 137-154

  5. Quantum Cobordisms and Formal Group Laws

    • Tom Coates, Alexander Givental
    Pages 155-171

  6. On the Foundations of Noncommutative Geometry

    • A. Connes
    Pages 173-204

  7. Stable Distributions Supported on the Nilpotent Cone for the Group G 2

    • Stephen DeBacker, David Kazhdan
    Pages 205-262

  8. Infinite-Dimensional Vector Bundles in Algebraic Geometry

    • Vladimir Drinfeld
    Pages 263-304

  9. Algebraic Lessons from the Theory of Quantum Integrable Models

    • L. D. Faddeev
    Pages 305-320

  10. Affine Structures and Non-Archimedean Analytic Spaces

    • Maxim Kontsevich, Yan Soibelman
    Pages 321-385

  11. Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II

    • Bertram Kostant, Nolan Wallach
    Pages 387-420

  12. Mirror Symmetry and Localizations

    • Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau
    Pages 421-442

  13. Character Sheaves and Generalizations

    • G. Lusztig
    Pages 443-455

  14. Symplectomorphism Groups and Quantum Cohomology

    • Dusa McDuff
    Pages 457-471

  15. Algebraic Structure of Yang-Mills Theory

    • M. Movshev, A. Schwarz
    Pages 473-523

  16. Seiberg-Witten Theory and Random Partitions

    • Nikita A. Nekrasov, Andrei Okounkov
    Pages 525-596

  17. Quantum Calabi-Yau and Classical Crystals

    • Andrei Okounkov, Nikolai Reshetikhin, Cumrun Vafa
    Pages 597-618

  18. Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis

    • A. M. Vershik
    Pages 619-631
Back to top

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.

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

Editors and Affiliations

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    Pavel Etingof, I. M. Singer

  • Department of Mathematics, Rutgers University, Piscataway, USA

    Vladimir Retakh

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation