First European Congress of Mathematics

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

Table of Contents of Volume I Invited Lectures (Part 1). - Plenary Lectures. - The Vassiliev Theory of Discriminants and Knots. - Transparent Proofs and Limits to Approximation. - Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1. - Gauge Theory and Four-Manifold Topology. - Spectral Theory and Geometry. - Pattern Theory: A Unifying Perspective. - Brownian Motion and Obstacles. - Geometric Quantization and Equivariant Cohomology. - Parallel Lectures. - The Power of Exponentiation in Arithmetic. - Subspace Arrangements. - Optimal Recovery of Functions and Integrals. - Existence globale et diffusion pour les modèles discrets de la cinétique des gaz. - Sporadic Groups and String Theory. - A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations. - (Some) Old and New Results on Algebraic Surfaces. - Evidence for a Cohomological Approach to Analytic Number Theory. - Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow. - Index of Authors of Volumes I and II.