Title | Mathematical Research Today and Tomorrow [electronic resource] : Viewpoints of Seven Fields Medalists Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991 / edited by Carles Casacuberta, Manuel Castellet |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1992 |

Connect to | http://dx.doi.org/10.1007/BFb0089200 |

Descript | X, 122 p. online resource |

SUMMARY

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

CONTENT

Leaving mathematics for philosophy -- Rรดle 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

Mathematics
Algebraic geometry
Differential geometry
Number theory
Algebraic topology
Physics
Mathematics
Number Theory
Algebraic Geometry
Differential Geometry
Algebraic Topology
Theoretical Mathematical and Computational Physics