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. Bjorstad, 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. Kollar, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. Marz. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Muller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Poeschel, L. Polterovich , L. Pyber, N. Simanyi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua.
Geometric set systems, J. Matousek; recent developments in symplectic topology, D. McDuff; K-theory and algebraic groups, A.S. Merkurjev; surprising geometric phenomena in high-dimensional convexity theory, V. Milman; microstructures, phase transition and geometry, St. Muller; different types of non uniform hyperbolocity for interval maps are equivalent, T. Nowicki; metastability and typical exit paths in stochastic dynamics, E. Olivieri, E. Scoppola; rationality problems for group varieties, V.P. Platonov; nonlinear partial differential equations, Birkhoff normal forms, and KAM theory, J. Poschel' precise measurements in symplectic topology, L. Polterovich; group enumeration and where it leads us, L. Pyber; studying dynamical systems with algebraic tools, N. Simanyi; mathematical results on the structure of large atoms, J.P. Solovej; geography of irreducible 4-manifold, A. Stipsicz; transversals of d-intervals - comparing three approaches, G. Tardos; algebra with involution and classical groups, J.-P. Tignol; Huygens' principles and integrability, A.P. Veselov; some problems and results on the controllability of partial differential equations. Round tables: electronic literature in mathematics, B. Wegner et al; mathematical games. D. Singmaster et al; women and mathematics, K. Hag et al; public image of mathematics, R. Burlisch et al; education, V.L. Hansen et al.
Series: Progress in Mathematics : Book 2
Number Of Pages: 405
Published: 21st July 1998
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.5 x 15.5
Weight (kg): 1.68