Mathematical Research Today and Tomorrow

Viewpoints of Seven Fields Medalists Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991

  • Editors
  • Carles Casacuberta
  • Manuel Castellet

Part of the Lecture Notes in Mathematics book series (LNM, volume 1525)

Table of contents

  1. Front Matter
    Pages I-V
  2. René Thom
    Pages 1-12
  3. Alain Connes
    Pages 40-58
  4. Stephen Smale
    Pages 59-69
  5. Vaughan F. R. Jones
    Pages 70-77
  6. Gerd Faltings
    Pages 78-86
  7. Carles Casacuberta, Manuel Castellet
    Pages 87-108
  8. Back Matter
    Pages 109-112

About these proceedings

Introduction

The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry.

Keywords

Mathematica commutative property development differential equation equation fields medal geometry linear differential equation mathematics mathematics today nonlinear differential equation online philosophy research prospects theory of computation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0089200
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56011-1
  • Online ISBN 978-3-540-47341-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book