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.
