European congress of mathematics ECM: Budapest, July 22-26, 1996

Content: Geometric set systems.- Recent developments in symplectic topology.- K-theory and algebraic groups.- Surprising geometric phenomena in high-dimensional convexity theory.- Microstructures, phase transition and geometry.- Different types of non-uniform hyperbolicity for interval maps are equivalent.- Metastability and typical exit paths in stochastic dynamics.- Rationality problems for group varieties.- Precise measurements in symplectic topology.- Nonlinear partial differential equations, Birkhoff normal forms, and KAM theory.- Group enumeration and where it leads us.- Studying dynamical systems with algebraic tools.- Mathematical results on the structure of large atoms.- Geography of irreducible 4-manifolds.- Transversals of d-intervals - comparing three approaches.- Algebras with involution and classical groups.- Huygens#x2019
principle and integrability.- Some problems and results on the controllability of partial differential equations.- Round Tables.- (A) Electronic literature in mathematics.- (B) Mathematical Games.- (D) Women and mathematics.- (E) Public image of mathematics.- (G) Education.