First European Congress of Mathematics Paris, July 6–10, 1992 : Vol. II: Invited Lectures (Part 2)

Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice • J. Fröhlich: Mathematical Aspects of the Quantum Hall Effect • M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings • U. Hamenstädt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations • M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology • S.B. Kuksin: KAM-Theory for Partial Differential Equations • M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results • J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations • I. Madsen: The Cyclotomic Trace in Algebraic K-Theory • A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology • J. Nekovár: Values of L-Functions and p-Adic Cohomology • Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups • M.A. Nowak: The Evolutionary Dynamics of HIV Infections • R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons • A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods • A. Schrijver: Paths in Graphs and Curves on Surfaces • B. Silverman: Function Estimation and Functional Data Analysis • V. Strassen: Algebra and Complexity • P. Tukia: Generalizations of Fuchsian and Kleinian Groups • C. Viterbo: Properties of Embedded Lagrange Manifolds • D. Voiculescu: Alternative Entropies in Operator Algebras • M. Wodzicki : Algebraic K-Theory and Functional Analysis • D. Zagier: Values of Zeta Functions and Their Applications Front Matter....Pages i-xxviii Front Matter....Pages 1-1 Martingales, Arbitrage, and Portfolio Choice....Pages 3-21 Mathematical Aspects of the Quantum Hall Effect....Pages 23-48 Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings....Pages 49-71 Harmonic Measures for Leafwise Elliptic Operators Along Foliations....Pages 73-95 Feynman Diagrams and Low-Dimensional Topology....Pages 97-121 KAM-Theory for Partial Differential Equations....Pages 123-157 Paradoxical Decompositions: A Survey of Recent Results....Pages 159-184 A Path-Valued Markov Process and its Connections with Partial Differential Equations....Pages 185-212 The Cyclotomic Trace in Algebraic K -Theory....Pages 213-241 Algebraic K -Theory and Galois Cohomology....Pages 243-255 Values of L-functions and p-adic Cohomology....Pages 257-291 Mantles, Trains and Representations of Infinite Dimensional Groups....Pages 293-310 The Evolutionary Dynamics of HIV Infections....Pages 311-326 On the Enumeration of Algebraic Curves — from Circles to Instantons....Pages 327-353 Mathematical Aspects of Domain Decomposition Methods....Pages 355-379 Paths in Graphs and Curves on Surfaces....Pages 381-406 Function Estimation and Functional Data Analysis....Pages 407-427 Algebra and Complexity....Pages 429-446 Generalizations of Fuchsian and Kleinian Groups....Pages 447-461 Properties of Embedded Lagrange Manifolds....Pages 463-474 Front Matter....Pages 1-1 Alternative Entropies in Operator Algebras....Pages 475-483 Algebraic K -Theory and Functional Analysis....Pages 485-496 Values of Zeta Functions and Their Applications....Pages 497-512 Back Matter....Pages 513-515