Fields Medallists' Lectures, 2nd Edition / Edition 2

Fields Medallists' Lectures, 2nd Edition / Edition 2

by Michael Atiyah
     
 

ISBN-10: 9812382569

ISBN-13: 9789812382566

Pub. Date: 11/28/2003

Publisher: World Scientific Publishing Company, Incorporated

Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in…  See more details below

Overview

Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture. The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002).

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Product Details

ISBN-13:
9789812382566
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
11/28/2003
Series:
World Scientific Series in 20th Century Mathematics
Edition description:
New Edition
Pages:
824
Product dimensions:
6.80(w) x 9.80(h) x 1.70(d)

Table of Contents

Preface to the First Edition
Preface to the Second Edition
Recipients of Fields Medals
Quasiconformal Mappings, Teichmuller Spaces, and Kleinian Groups5
Calcul Infinitesimal Stochastique27
On Kahler Varieties of Restricted Type57
Rational Approximations to Algebraic Numbers68
Looking forward from ICM 196294
The Index of Elliptic Operators123
A Survey of Some Recent Developments in Differential Topology150
Effective Methods in the Theory of Numbers170
Effective Methods in Diophantine Problems179
Effective Methods in Diophantine Problems. II191
Effective Methods in the Theory of Numbers/Diophantine Problems198
Role of Integrable Models in the Development of Mathematics210
Pattern Theory: A Unifying Perspective234
Oppenheim Conjecture281
Brisure de Symetrie Spontanee et Geometrie du Point de vue Spectral348
Remarks on Gauge Theory, Complex Geometry and 4-Manifold Topology392
Betti Number Estimates for Nilpotent Groups421
A Polynomial Invariant for Knots via von Neumann Algebras456
Birational Classification of Algebraic Threefolds504
Geometry and Quantum Field Theory531
Hamiltonian Methods in Nonlinear Evolution Equations550
On Some Recent Methods for Nonlinear Partial Differential Equations572
Recent Developments in Dynamics596
On the Restricted Burnside Problem631
What is Moonshine?654
A New Proof of Szemeredi's Theorem for Arithmetic Progressions of Length Four678
Formal (Non)-Commutative Symplectic Geometry716
Comments on "Formal (Non)-Commutative Symplectic Geometry"734
Rigidity and Inflexibility in Conformal Dynamics746
Open Problems in the Motivic Style Homotopy Theory, I779

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