European Congress of Mathematics (2-Volume Set) : Barcelona, July 10-14, 2000 (Progress in Mathematics (Boston, Mass.), V. 201-202.)

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European Congress of Mathematics (2-Volume Set) : Barcelona, July 10-14, 2000 (Progress in Mathematics (Boston, Mass.), V. 201-202.)

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  • 製本 Hardcover:ハードカバー版/ページ数 641 p.
  • 言語 ENG
  • 商品コード 9783764364199
  • DDC分類 510

Description


(Text)
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.
Contributors:
R. Ahlswede, V. Bach, V. Baladi, J. Bruna, N. Burq, X. Cabré, P.J. Cameron, Z. Chatzidakis, C. Ciliberto, G. Dal Maso, J. Denef, R. Dijkgraaf, B. Fantechi, H. Föllmer, A.B. Goncharov, A. Grigor`yan, M. Harris, R. Iturriaga, K. Johansson, K. Khanin, P. Koskela, H.W. Lenstra, Jr., F. Loeser, Y.I. Manin, N.S. Manton, Y. Meyer, I. Moerdijk, E.M. Opdam, T. Peternell, B.M.A.G. Piette, A. Reznikov, H. Schlichtkrull, B. Schmidt, K. Schmidt, C. Simó, B. Tóth, E. van den Ban, M.-F. Vignéras, O. Viro

Table of Contents

Preface                                            xiii
History and Significance xiv
Committees xvi
Congress Programme xvii
Acknowledgements xxi
EMS Prize Winners xxiii
Felix Klein Prize Winner xxviii
Opening Ceremony
Address by Sebastia Xambo xxix
Address by Ramon Marimon xxxiii
Address by Andreu Mas-Colell xxxiv
Address by Joan Clos xxxv
Address by Rolf Jeltsch xxxvii
Address by Manuel Castellet xxxix
Closing Ceremony
Address by Sebastia Xambo xlv
Address by Rolf Jeltsch xlviii
Articles by Plenary Speakers
The Mathematics of M-Theory 1 (20)
Robbert Dijkgraaf
Probabilistic Aspects of Financial Risk 21 (16)
Hans Follmer
Flags and Lattice Basis Reduction 37 (16)
Hendrik W. Lenstra, Jr.
Moduli, Motives, Mirrors 53 (22)
Yuri I. Manin
The Role of Oscillations in Some Nonlinear 75 (26)
Problems
Yves Meyer
New Families of Solutions in N-Body Problems 101 (16)
Carles Simo
Irreducible Modular Representations of a 117 (18)
Reductive p-Adic Group and Simple Modules
for Hecke Algebras
Marie-France Vigneras
Dequantization of Real Algebraic Geometry 135 (12)
on Logarithmic Paper
Oleg Viro
Articles by Parallel Speakers
Advances on Extremal Problems in Number 147 (30)
Theory and Combinatorics
Rudolf Ahlswede
Spectral Analysis of Nonrelativistic 177 (26)
Quantum Electrodynamics
Volker Bach
Spectrum and Statistical Properties of 203 (22)
Chaotic Dynamics
Viviane Baladi
Sampling in Complex and Harmonic Analysis 225 (22)
Joaquim Bruna
Lower Bounds for Shape Resonance Widths of 247 (12)
Schrodinger Operators
Nicolas Burq
A Conjecture of De Giorgi on Symmetry for 259 (8)
Elliptic Equations in Rn
Xavier Cabre
The Random Graph Revisited 267 (8)
Peter J. Cameron
Difference Fields: Model Theory and 275 (14)
Applications to Number Theory
Zoe Chatzidakis
Geometric Aspects of Polynomial 289 (28)
Interpolation in More Variables and of
Waring's Problem
Ciro Ciliberto
The Calibration Method for Free 317 (10)
Discontinuity Problems
Gianni Dal Maso
Geometry on Arc Spaces of Algebraic 327 (22)
Varieties
Jan Denef
Francois Loeser
Stacks for Everybody 349 (12)
Barbara Fantechi
Multiple ζ - Values, Galois Groups, 361 (32)
and Geometry of Modular Varieties
Alexander B. Goncharov
Heat Kernels on Manifolds, Graphs and 393 (14)
Fractals
Alexander Grigor'yan
Local Langlands Correspondences and 407 (22)
Vanishing Cycles on Shimura Varieties
Michael Harris
Burgers Turbulence and Dynamical Systems 429 (16)
Renato Iturriaga
Konstantin Khanin
Random Growth and Random Matrices 445 (12)
Kurt Johansson
Sobolev Spaces and Quasiconformal Mappings 457 (12)
on Metric Spaces
Pekka Koskela
Understanding Skyrmions Using Rational Maps 469 (12)
Nicholas S. Manton
Bernard M. A. G. Piette
Models for the Leaf Space of a Foliation 481 (10)
Ieke Moerdijk
Multivariable Hypergeometric Functions 491 (18)
Eric M. Opdam
Contact Structures, Rational Curves and 509 (10)
Mori Theory
Thomas Peternell
Analytic Topology 519 (14)
Alexander Reznikov
Towards Ryser's Conjecture 533 (10)
Bernhard Schmidt
The Dynamics of Algebraic Zd-Actions 543 (12)
Klaus Schmidt
Self-Interacting Random Motions 555 (10)
Balint Toth
Harmonic Analysis on Reductive Symmetric 565
Spaces
Erik van den Ban
Henrik Schlichtkrull
Articles by Prize Winners
Classification Results on Valuations on 1 (8)
Convex Sets
Semyon Alesker
Towards a Microscopic Theory of Phase 9 (12)
Coexistence
Raphael Cerf
Constructing Compact 8-Manifolds with 21 (10)
Holonomy Spin(7) from Calabi-Yau Orbifolds
Dominic Joyce
Banach KK-Theory and the Baum-Connes 31 (16)
Conjecture
Vincent Lafforgue
An Introduction to Non-Commutative Mori 47 (8)
Theory
Michael McQuillan
Geometric Methods in Complex Analysis 55 (10)
Stefan Nemirovski
Vanishing Cycles and Mutation 65 (22)
Paul Seidel
Critical Exponents, Conformal Invariance 87 (18)
and Planar Brownian Motion
Wendelin Werner
Mini-Symposium on Computer Algebra
Computer Algebra Algorithms for Linear 105 (16)
Ordinary Differential and Difference
Equations
Manuel Bronstein
Some Introductory Remarks on Computer 121 (22)
Algebra
Wolfram Decker
A Study of Iteration Formulas for Root 143 (14)
Finding, Where Mathematics, Computer
Algebra and Software Engineering Meet
Gaston H. Gonnet
Industrial Applications of Computer 157 (12)
Algebra: Climbing Up a Mountain, Going Down
a Hill
Laureano Gonzalez-Vega
Tomas Recio
Applications of Computer Algebra to 169 (20)
Algebraic Geometry, Singularity Theory and
Symbolic-Numerical Solving
Gert-Martin Greuel
Mini-Symposium on Curves over Finite Fields
and Codes
Explicit Towers of Drinfeld Modular Curves 189 (10)
Noam D. Elkies
Curves over Finite Fields Attaining the 199 (8)
Hasse-Weil Upper Bound
Arnaldo Garcia
Asymptotically Good Towers of Global Fields 207 (12)
Farshid Hajir
Christian Maire
Explicit Constructions of Towers of 219 (6)
Function Fields with Many Rational Places
Henning Stichtenoth
Curves over Finite Fields and Codes 225 (14)
Gerard van der Geer
Authentication Codes and Algebraic Curves 239 (6)
Chaoping Xing
Mini-Symposium on Free Boundary Problems
Some Aspects of Mean Curvature Flow in 245 (10)
Presence of Nonsmooth Anisotropies
Giovanni Bellettini
A Phase-Field Model for Diffusion-Induced 255 (8)
Grain Boundary Motion
Klaus Deckelnick
Evolution of a Closed Interface between Two 263 (10)
Liquids of Different Types
Irina V. Denisova
Applications of a Local Energy Method to 273 (8)
Systems of PDE's Involving Free Boundaries
Gonzalo Galiano
Phase Boundaries in Alloys with Elastic 281 (10)
Misfit
Harald Garcke
Some Aspects of the Thin Film Equation 291 (12)
Josephus Hulshof
A Brief Overview on the Obstacle Problem 303 (10)
Regis Monneau
The Impact of Monotonicity Formulas in 313 (6)
Regularity of Free Boundaries
Henrik Shahgholian
A Free Boundary Problem: Contributions from 319 (12)
Modern Analysis
Jose Miguel Urbano
Mini-Symposium on Mathematical Finance:
Theory and Practice
Risk Sensitive Control with Applications to 331 (16)
Fixed Income Portfolio Management
Tomasz R. Bielecki
Stanley R. Pliska
Wavelet Based PDE Valuation of Derivatives 347 (20)
M. A. H. Dempster
A. Eswaran
Some Analytic Facts on the Generalized 367 (12)
Hyperbolic Model
Ernst Eberlein
Sebastian Raible
Functionals of Brownian Motion in 379 (12)
Path-Dependent Option Valuation
Helyette Geman
Optimal Portfolios under a Value at Risk 391 (8)
Constraint
Ton Vorst
Mini-Symposium on Quantum Chaology
Trace Formulas and Spectral Statistics of 399 (14)
Diffractive Systems
Eugene Bogomolny
Semiclassical Results in the Linear 413 (8)
Response Theory
Monique Combescure
Didier Robert
The Berry-Tabor Conjecture 421 (8)
Jens Marklof
On Quantum Unique Ergodicity for Linear 429 (10)
Maps of the Torus
Zeev Rudnick
Mini-Symposium on Quantum Computing
Bound Information: The Classical Analog to 439 (10)
Bound Quantum Entanglement
Nicolas Gisin
Renato Renner
Stefan Wolf
Mini-Symposium on String Theory and M-Theory
D-Branes on Calabi-Yau Manifolds 449 (18)
Michael R. Douglas
Knot Invariants and Chern-Simons Theory 467 (12)
Jose M. F. Labastida
Topological Quantum Field Theory and 479 (10)
Four-Manifolds
Marcos Marino
D-Brane Conformal Field Theory and Bundles 489 (10)
of Conformal Blocks
Christoph Schweigert
Jurgen Fuchs
From Quiver Diagrams to Particle Physics 499 (8)
Angel M. Uranga
Mini-Symposium on Symplectic and Contact
Geometry and Hamiltonian Dynamics
From Symplectic Packing to Algebraic 507 (18)
Geometry and Back
Paul Biran
New Invariants of Legendrian Knots 525 (10)
Yuri Chekanov
Contact Topology in Dimension Greater than 535 (12)
Three
Hansjorg Geiges
The Hamiltonian Seifert Conjecture: 547 (10)
Examples and Open Problems
Viktor L. Ginzburg
The Fine Geometry of the Cantor Families of 557 (8)
Invariant Tori in Hamiltonian Systems
Angel Jorba
Jordi Villanueva
Symplectic and Contact Geometry and 565 (10)
Hamiltonian Dynamics
Mikhail B. Sevryuk
Simple Coisotropic Projections and Caustics 575 (8)
Vladimir Zakalyukin
Mini-Symposium on Wavelet Applications in
Signal Processing
Reassigned Scalograms and Singularities 583 (8)
Eric Chassande-Mottin
Patrick Flandrin
The Impact of Wavelet Coefficient 591 (10)
Correlations on Fractionally Differenced
Process Estimation
Peter F. Craigmile
Donald B. Percival
Peter Guttorp
Wavelet-Based Modelling of Persistent 601 (8)
Periodicities
Emma J. McCoy
Network Traffic Modeling Using a 609 (10)
Multifractal Wavelet Model
Rudolf H. Riedi
Vinay J. Ribeiro
Matthew S. Crouse
Richard G. Baraniuk
Denoising Via Block Wiener Filtering in 619 (8)
Wavelet Domain
Vasily Strela
Wavelet Analysis of Discrete Time Series 627
Andrew T. Walden