European Congress of Mathematics Barcelona, July 1014, 2000 Volume II [Hardcover]

This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia.
This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.

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 Culƒ+