Casacuberta / Castellet Mathematical Research Today and Tomorrow

Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991
Erscheinungsjahr 2006
ISBN: 978-3-540-47341-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1525, 122 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Casacuberta, Carles

Castellet, Manuel

Weitere Mitwirkende

Connes, A.

Faltings, G.

Jones, V.

Novikov, S.

Smale, S.

Thom, R.

Yau, S.-T.

Inhaltsverzeichnis

Leaving mathematics for philosophy.- Rôle of integrable models in the development of mathematics.- The current state and prospects of geometry and nonlinear differential equations.- Noncommutative geometry.- Theory of computation.- Knots in mathematics and physics.- Recent progress in diophantine geometry.- Round-table discussion.