European Congress of Mathematics

Table of Contents of Volume II.- Articles by Prize Winners.- Classification Results on Valuations on Convex Sets.- Towards a Microscopic Theory of Phase Coexistence.- Constructing Compact 8-Manifolds with Holonomy Spin(7) from Calabi-Yau Orbifolds.- Banach KK-Theory and the Baum-Connes Conjecture.- An Introduction to Non-Commutative Mori Theory.- Geometric Methods in Complex Analysis.- Vanishing Cycles and Mutation.- Critical Exponents, Conformal Invariance and Planar Brownian Motion.- Mini-Symposium on Computer Algebra.- Computer Algebra Algorithms for Linear Ordinary Differential and Difference Equations.- Some Introductory Remarks on Computer Algebra.- A Study of Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet.- Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill.- Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving.- Mini-Symposium on Curves over Finite Fields and Codes.- Explicit Towers of Drinfeld Modular Curves.- Curves over Finite Fields Attaining the Hasse-Weil Upper Bound.- Asymptotically Good Towers of Global Fields.- Explicit Constructions of Towers of Function Fields with Many Rational Places.- Curves over Finite Fields and Codes.- Authentication Codes and Algebraic Curves.- Mini-Symposium on Free Boundary Problems.- Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies.- A Phase-Field Model for Diffusion-Induced Grain Boundary Motion.- Evolution of a Closed Interface between Two Liquids of Different Types.- Applications of a Local Energy Method to Systems of PDE's Involving Free Boundaries.- Phase Boundaries in Alloys with Elastic Misfit.- Some Aspects of the Thin Film Equation.- A Brief Overview on the Obstacle Problem.- The Impact of Monotonicity Formulas in Regularity of Free Boundaries.- A Free Boundary Problem: Contributions from Modern Analysis.- Mini-Symposium on Mathematical Finance-