© 2010

Visions in Mathematics

GAFA 2000 Special Volume, Part I

  • N. Alon
  • J. Bourgain
  • A. Connes
  • M. Gromov
  • V. Milman

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xv
  2. J. Bourgain
    Pages 32-56
  3. Jürg Fröhlich, Tai-Peng Tsai, Horng-Tzer Yau
    Pages 57-78
  4. W. T. Gowers
    Pages 79-117
  5. Misha Gromov
    Pages 118-161
  6. D. Kazhdan
    Pages 184-187
  7. Arkady Berenstein, David Kazhdan
    Pages 188-236
  8. A. Braverman, D. Kazhdan
    Pages 237-278
  9. Sergiu Klainerman
    Pages 279-315
  10. Antti Kupiainen
    Pages 316-333
  11. Elliott H. Lieb, Jakob Yngvason
    Pages 334-358
  12. László Lovász
    Pages 359-382

About this book


"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas.

The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest.

This is the first part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.


Finite Mathematica equation function mathematical physics mathematics representation theory topology

Editors and affiliations

  • N. Alon
    • 1
  • J. Bourgain
    • 2
  • A. Connes
    • 3
  • M. Gromov
    • 4
  • V. Milman
    • 5
  1. 1.School of Mathematical SciencesUniversity of Tel AvivIsrael
  2. 2.School of Mathematics Institute for Advanced StudyPrinceton UniversityPrincetonUSA
  3. 3.Collège de FranceParis cedex 05France
  4. 4.Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance
  5. 5.Department of MathematicsUniversity of Tel AvivTel AvivIsrael

Bibliographic information

  • Book Title Visions in Mathematics
  • Book Subtitle GAFA 2000 Special Volume, Part I
  • Editors Noga Alon
    Jean Bourgain
    Alain Connes
    Misha Gromov
    Vitali D. Milman
  • Series Title Modern Birkhäuser Classics
  • DOI
  • Copyright Information Birkhäuser Basel 2010
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-0346-0421-5
  • eBook ISBN 978-3-0346-0422-2
  • Edition Number 1
  • Number of Pages XVI, 454
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematics, general
  • Buy this book on publisher's site
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