First European Congress of Mathematics: Volume I Invited Lectures

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Anthony Joseph, Fulbert Mignot, Francois Murat, Bernard Prum, Rudolf Rentschler
Nelson Thornes, Jul 1, 1994 - Mathematics - 545 pages
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Table of contents: Plenary Lectures • V.I. Arnold: The Vassiliev Theory of Discriminants and Knots • L. Babai: Transparent Proofs and Limits to Approximation • C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 • S.K. Donaldson: Gauge Theory and Four-Manifold Topology • W. Müller: Spectral Theory and Geometry • D. Mumford: Pattern Theory: A Unifying Perspective • A.-S. Sznitman: Brownian Motion and Obstacles • M. Vergne: Geometric Quantization and Equivariant Cohomology • Parallel Lectures • Z. Adamowicz: The Power of Exponentiation in Arithmetic • A. Björner: Subspace Arrangements • B. Bojanov: Optimal Recovery of Functions and Integrals • J.-M. Bony: Existence globale et diffusion pour les modèles discrets • R.E. Borcherds: Sporadic Groups and String Theory • J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations • F. Catanese: (Some) Old and New Results on Algebraic Surfaces • Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory • S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow
 

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Contents

Preface
xiii
Lists of Lectures and Round Tables
xix
Mathematical Aspects of Domain Decomposition Methods
xx
Mathematical Europe
xxi
Closing Ceremony
xxxiv
Maxim Kontsevich 97
xxxix
The Vassiliev Theory of Discriminants and Knots
3
Replies to a Questionnaire
23
Mathematiques et sciences sociales
229
Algebraic ftTTheory and Galois Cohomology
243
Geometric Quantization and Equivariant Cohomology
249
Values of LFunctions and padic Cohomology
257
Christian Berg Hans J Munkholm Ivan Netuka David Salinger
277
The Power of Exponentiation in Arithmetic
299
Subspace Arrangements
321
Collaboration with Developing Countries
347

Transparent Proofs and Limits to Approximation
31
Women and Mathematics
37
Mathematics and Educational Policy
75
Poisson Algebraic Groups and Representations
93
Paul Bungartz Rudolf Strasser
101
Gauge Theory and FourManifold Topology
121
KAMTheory for Partial Differential Equations
123
Lets Cultivate Mathematics
129
Spectral Theory and Geometry
153
Catherine Goldstein James Hitter
157
A Survey of Recent Results
159
Philosophie des mathematiques
183
A PathValued Markov Process and its Connections
185
A Unifying Perspective
187
Jacques Dubucs
210
The Cyclotomic Trace in Algebraic ATheory
213
AlainSol Sznitman
225
Alfio Quarteroni
355
Optimal Recovery of Functions and Integrals
371
Paths in Graphs and Curves on Surfaces
381
Existence globale et diffusion pour les modeles discrets
391
Mathematical Libraries in Europe
397
Function Estimation and Functional Data Analysis
407
Sporadic Groups and String Theory
411
Algebra and Complexity
429
Mathematics and Economics
431
Some Old and New Results on Algebraic Surfaces
445
Mathematiques et chimie
451
Evidence for a Cohomological Approach
491
CauchyRiemann Operators SelfDuality
511
Mathematics in Medicine and Biology
515
Index of Authors of Volumes I and II
547
Copyright

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