European Congress of Mathematics : Budapest, July 22–26, 1996 Volume II

This is the second volume of the procedings of the second 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. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. 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. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua. Front Matter....Pages i-viii Geometric Set Systems....Pages 1-27 Recent Developments in Symplectic Topology....Pages 28-42 K -Theory and Algebraic Groups....Pages 43-72 Surprising Geometric Phenomena in High-Dimensional Convexity Theory....Pages 73-91 Microstructures, Phase Transitions and Geometry....Pages 92-115 Different Types of Non Uniform Hyperbolicity for Interval Maps Are Equivalent....Pages 116-123 Metastability and Typical Exit Paths in Stochastic Dynamics....Pages 124-150 Rationality Problems for Group Varieties....Pages 151-158 Precise Measurements in Symplectic Topology....Pages 159-166 Nonlinear Partial Differential Equations, Birkhoff Normal Forms, and KAM Theory....Pages 167-186 Group Enumeration and Where It Leads Us....Pages 187-199 Studying Dynamical Systems with Algebraic Tools....Pages 200-210 Mathematical Results on the Structure of Large Atoms....Pages 211-220 Geography of Irreducible 4-Manifolds....Pages 221-233 Transversals of d -intervals — Comparing three Approaches....Pages 234-243 Algebras with Involution and Classical Groups....Pages 244-258 Huygens’ Principle and Integrability....Pages 259-275 Some Problems and Results on the Controllability of Partial Differential Equations....Pages 276-311 Front Matter....Pages 313-313 Electronic Publishing and Electronic Publications in Mathematics....Pages 315-337 Report of the Round Table on Mathematical Games....Pages 338-346 Front Matter....Pages 313-313 Women and Mathematics....Pages 347-375 Public Image of Mathematics....Pages 376-379 Education: Challenges for Mathematics....Pages 380-402 Back Matter....Pages 403-405