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Functional Analysis on the Eve of the 21st Century

Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand

  • Book
  • © 1995

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Editors:
  1. Simon Gindikin

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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  2. James Lepowsky

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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  3. Robert L. Wilson

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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Part of the book series: Progress in Mathematics (PM, volume 131/132)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Connection formulas in the q-analog de Rham cohomology

    • Kazuhiko Aomoto
    Pages 1-12

  3. Lagrangian Models of Minimal Representations of E 6, E 7and E 8

    • Ranee Brylinski, Bertram Kostant
    Pages 13-63

  4. Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions

    • Igor B. Frenkel, Vladimir G. Turaev
    Pages 65-118

  5. Analogies between the Langlands Correspondence and Topological Quantum Field Theory

    • M. M. Kapranov
    Pages 119-151

  6. “Forms” of the Principal Series for GL n

    • David Kazhdan
    Pages 153-171

  7. Geometry of determinants of elliptic operators

    • Maxim Kontsevich, Simeon Vishik
    Pages 173-197

  8. Quantum groups at ν = ∞

    • George Lusztig
    Pages 199-221

  9. The Symplectic Operad

    • Olivier Mathieu
    Pages 223-243

  10. Quadratic unipotent representations of p-adic groups

    • C. Moeglin
    Pages 245-262

  11. On the Master Field in Two Dimensions

    • I. M. Singer
    Pages 263-281

  12. Physical Methods Applied to Donaldson Theory

    • Edward Witten
    Pages 283-292

  13. Back Matter

    Pages 293-296
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Keywords

About this book

A four-day conference, "Functional Analysis on the Eve of the Twenty­ First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op­ erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms.

Editors and Affiliations

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    Simon Gindikin, James Lepowsky, Robert L. Wilson

Bibliographic Information

  • Book Title: Functional Analysis on the Eve of the 21st Century

  • Book Subtitle: Volume I: In Honor of the Eightieth Birthday of I. M. Gelfand

  • Editors: Simon Gindikin, James Lepowsky, Robert L. Wilson

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-2582-9

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-8176-3860-3Published: 01 December 1995

  • Softcover ISBN: 978-1-4612-7590-9Published: 03 June 2013

  • eBook ISBN: 978-1-4612-2582-9Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XLVI, 624

  • Topics: Functional Analysis

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