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Proceedings of the International Congress of Mathematicians

Edited by S. D. Chatterji

in Springer Books from Springer

Date: 1995
ISBN: 978-3-0348-9078-6
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Chapters in this book:

The Work of Jean Bourgain
Luis Caffarelli
The Work of Pierre-Louis Lions
S.R.S. Varadhan
Prèsentation de Jean-Christophe Yoccoz
Adrien Douady
On the Work of Efim Zelmanov
Walter Feit
On some Works of Avi Wigderson
Yuri Matiyasevich
Harmonic Analysis and Nonlinear Partial Differential Equations
Jean Bourgain
Sphere Packings, Lattices, Codes, and Greed
John H. Conway
Wavelets and Other Phase Space Localization Methods
Ingrid Daubechies
The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices
J. Fröhlich, A.H. Chamseddine, F. Gabbiani, T. Kerler, C. Kling, P.A. Marchetti, U.M. Studer and E. Thiran
Wave Propagation
Joseph B. Keller
Homological Algebra of Mirror Symmetry
Maxim Kontsevich
On Some Recent Methods for Nonlinear Partial Differential Equations
Pierre-Louis Lions
Interactions Between Ergodic Theory, Lie Groups, and Number Theory
Marina Ratner
Progress on the Four-Color Theorem
Paul Seymour
Entropy Methods in Hydrodynamic Scaling
S.R.S. Varadhan
Topology of Discriminants and Their Complements
Victor A. Vassiliev
Free Probability Theory: Random Matrices and von Neumann Algebras
Dan Voiculescu
Modular Forms, Elliptic Curves, and Fermat’s Last Theorem
Andrew Wiles
Recent Developments in Dynamics
Jean-Christophe Yoccoz
On the Size of Quotients by Definable Equivalence Relations
Alain Louveau
Model Theory, Differential Algebra, and Number Theory
Anand Pillay
Logic and Complexity: Independence results and the complexity of propositional calculus
Pavel Pudlák
The Path Model for Representations of Symmetrizable Kac-Moody Algebras
Peter Littelmann
Subgroup Growth
Alexander Lubotzky
Constructions Polynomiales et théorie de Galois
Jean-François Mestre
Study of Quadratic Forms — Some Connections with Geometry
Raman Parimala
Invariant Differential Operators
Gerald W. Schwarz
Algebraic K-Theory and Motivic Cohomology
Andrei Suslin
Modules of Covariants
Michael Van den Bergh
Bounds for L-Functions
John B. Friedlander
Polylogarithms in Arithmetic and Geometry
Alexander B. Goncharov
Unexpected Irregularities in the Distribution of Prime Numbers
Andrew Granville
Fonctions L p-adiques
Bernadette Perrin-Riou
The Role of Smooth Numbers in Number Theoretic Algorithms
Carl Pomerance
Non-Archimedian Period Domains
Michael Rapoport
Representations of Galois Groups Associated to Modular Forms
Richard Taylor
Einstein Metrics and Metrics with Bounds on Ricci Curvature
Michael T. Anderson
Minimal Foliations and Laminations
Victor Bangert
Harmonic Maps, Rigidity, and Hodge Theory
Kevin Corlette
Homological Geometry and Mirror Symmetry
Alexander B. Givental
Constant Mean Curvature Surfaces in Euclidean Spaces
Nikolaos Kapouleas
Intersection Pairings on Quotients and Moduli Spaces, and Witten’s Nonabelian Localization
Frances Kirwan
Anti-Self-Dual Metrics and Kähler Geometry
Claude LeBrun
The Geometry of Moduli Spaces of Vector Bundles over Algebraic Surfaces
Jun Li
Spaces with Curvature Bounded Below
G. Perelman
Lagrangian Intersections, 3-Manifolds with Boundary, and the Atiyah-Floer Conjecture
Dietmar Salamon
Generating Functions, Symplectic Geometry, and Applications
Claude Viterbo
Smooth 4-manifolds and Symplectic Topology
Robert E. Gompf
Topological Modular Forms, the Witten Genus, and the Theorem of the Cube
Michael J. Hopkins
Applications dont la source est un classifiant
Jean Lannes
Spaces of Algebraic Cycles Levels of Holomorphic Approximation
H. Blaine Lawson
Dehn Surgery on Knots in the 3-Sphere
John Luecke
Cyclic Splittings of Finitely Presented Groups and the Canonical JSJ-Decomposition
E. Rips
An Algorithm to Recognize the 3-Sphere
Joachim H. Rubinstein
Characteristic Classes, Lattice Points, and Euler-MacLaurin Formulae
Julius L. Shaneson
Positive Scalar Curvature Metrics — Existence and Classification Questions
Stephan Stolz
Nonlocally Linear Manifolds and Orbifolds
Shmuel Weinberger
Mumford-Stabilität in der algebraischen Geometrie
Gerd Faltings
Fundamental Groups of Curves in Characteristic p
David Harbater
Mixed Motives, Motivic Cohomology, and Ext-Groups
Uwe Jannsen
Rational Curves on Algebraic Varieties
Yoichi Miyaoka
Some Eisenstein Cohomology Classes for the Integral Unimodular Group
Madhav V. Nori
Rigid and Exception Vector Bundles and Sheaves on a Fano Variety
Alexei N. Rudakov
Variations of Hodge Structure and Algebraic Cycles
Claire Voisin
Genuine Representations of the Metaplectic Group and Epsilon Factors
Jeffrey Adams
The Irreducible Characters for Semi-Simple Algebraic Groups and for Quantum Groups
Henning Haahr Andersen
Automorphic Forms on O s +2,2(ℝ+ and Generalized Kac-Moody Algebras
Richard E. Borcherds
Spherical Varieties
Michel Brion
Rigidity Properties of Group Actions on CAT(0)-Spaces
Marc Burger
Smooth Representations of p-adic Groups: The Role of Compact Open Subgroups
Colin J. Bushnell
Flows on Homogeneous Spaces and Diophantine Approximation
S. G. Dani
Singular Automorphic Forms
Jian-Shu Li
Gradings on Representation Categories
Wolfgang Soergel
Comparaison d’intégrales orbitales pour des Groupesp-adiques
Jean-Loup Waldspurger
L2-Methods and Effective Results in Algebraic Geometry
Jean-Pierre Demailly
Meromorphic Functions: Progress and Problems
David Drasin
Teichmüller Space, Dynamics, Probability
Howard Masur
Fibering Compact Kähler Manifolds over Projective Algebraic Varieties of General Type
Ngaiming Mok
Regularity of Fourier Integral Operators
Duong H. Phong
Finding Structure in Sets with Little Smoothness
Stephen W. Semmes
Topological, Geometric and Complex Analytic Properties of Julia Sets
Mitsuhiro Shishikura
Smoothing Estimates for the Wave Equation and Applications
Christopher D. Sogge
A Survey of Möbius Groups
Pekka Tukia
Geometric and Dynamical Aspects of Real Submanifolds of Complex Space
Sidney M. Webster
The Classification Problem for Amenable C*-Algebras
George A. Elliott
Recent Results in the Theory of Infinite-Dimensional Banach Spaces
W. T. Gowers
Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras
Eberhard Kirchberg
Distortion and Stabilized Structure in Banach Spaces; New Geometric Phenomena for Banach and Hilbert Spaces
E. Odell and Th. Schlumprecht
Operator Algebras and Conformal Field Theory
Antony J. Wassermann
Brownian Motion, Heat Kernels, and Harmonic Functions
Richard F. Bass
Interaction and Hierarchy in Measure-Valued Processes
Donald Dawson
Abstract Statistical Estimation and Modern Harmonic Analysis
David L. Donoho
Quasi-Regular Dirichlet Forms and Applications
Zhi-Ming Ma
A Surface View of First-Passage Percolation
Charles M. Newman
Quantum Stochastic Calculus
K. R. Parthasarathy
Measure-Valued Branching Diffusions and Interactions
Edwin A. Perkins
Diffusion Processes in Random Environments
Hiroshi Tanaka
Analytical and Numerical Aspects of Fluid Interfaces
J. Thomas Beale
Morse Theory in Differential Equations
Kung-Ching Chang
Analyse microlocale et mécanique des fluides en dimension deux
Jean-Yves Chemin
Some Mathematical Problems of Fluid Mechanics
Peter Constantin
Hyperbolic Systems of Converstaion Laws
Constantine M. Dafermos
Eigenfunctions and Harmonic Functions in Convex and Concave Domains
David Jerison
Kinetic Equations and Hyperbolic Systems of Conversation Laws
Benoît Perthame
The Cauchy Problem for Harmonic Maps on Minkowski Space
Jalal Shatah
Interface Dynamics in Phase Transitions
Panagoitis E. Souganidis
Fully Nonlinear Elliptic Equations and Applications to Geometry
Joel Spruck
Lower-Semicontinuity of Variational Integrals and Compensated Compactness
Vladimír Šverák
The Riemann-Hilbert Problem and Fuchsian Differential Equations on the Riemann Sphere
A. A. Bolibruch
Invariant Sets of Hamiltonian Systems and Variational Methods
Sergey V. Bolotin
Rotation Vectors for Surface Diffeomorphisms
John Franks
A Priori Estimates and Regularity of Nonlinear Waves
Manoussos G. Grillakis
Applications of Dynamics to Compact Manifolds of Negative Curvature
François Ledrappier
On the Borderline of Real and Complex Dynamics
Mikhail Lyubich
Ergodic Variational Methods: New Techniques and New Problems
Ricardo Mañé
Homoclinic Bifurcations and Persistence of Nonuniformly Hyperbolic Attractors
Marcelo Viana
Ergodic Theory of Attractors
Lai-Sang Young
Noncommutative Geometry and Quantum Hall Effect
Jean Bellissard
Conformal Field Theory and Integrable Systems Associated to Elliptic Curves
Giovanni Felder
Free Field Realizations in Representation Theory and Conformal Field Theory
Edward Frenkel
Homogenized Models of Strongly Inhomogeneous Media
Eugene Ya. Khruslov
Fluxes and Dimers in the Hubbard Model
Elliott H. Lieb
Von Neumann Algebras and Quantum Field Theory
Roberto Longo
Two-dimensional Yang-Mills Theory and Topological Field Theory
Gregory Moore
Mirror Symmetry and Moduli Spaces of Superconformal Field Theories
David R. Morrison
The Critical Behavior of Random Systems
Gordon Slade
A Rigorous (Renormalization Group) Analysis of Superconducting Systems
Eugene Trubowitz
Eigenvalues of Graphs
Fan R. K. Chung
Extremal Hypergraphs and Combinatorial Geometry
Zoltán Füredi
Asymptotics of Hypergraph Matching, Covering and Coloring Problems
Jeff Kahn
Combinatorics and Convexity
Gil Kalai
Probabilistic Methods in Combinatorics
Joel Spencer
Asymptotic Combinatorics and Algebraic Analysis
Anatoly M. Vershik
Probabilistic Proof Systems
Oded Goldreich
The Computational Complexity of Counting
Mark Jerrum
Methods for Message Routing in Parallel Machines
Tom Leighton
Randomness and Nondeterminism
Leonid A. Levin
Mathematical Modeling and Numerical Analysis of Linearly Elastic Shells
Philippe G. Ciarlet
Multiscale Techniques — Some Concepts and Perspectives
Wolfgang Dahmen
Matrix Computation and the Theory of Moments
Gene Golub
Subscale Capturing in Numerical Analysis
Stanley Osher
Analysis-Based Fast Numerical Algorithms of Applied Mathematics
Vladimir Rokhlin
Solving Numerically Hamiltonian Systems
J. M. Sanz-Serna
Methods of Control Theory in Nonholonomic Geometry
Andrei A. Agrachev
Whiskered Tori and Chaotic Behavior in Nonlinear Waves
David W. McLaughlin
Formulas for Finding Coefficients from Nodes/Nodal Lines
Joyce R. Mclaughlin
Backward Stochastic Differential Equations and Applications
Etienne Pardoux
Max-Plus Algebra and Applications to System Theory and Optimal Control
Jean-Pierre Quadrat
Statistical Mechanics and Hydrodynamical Turbulence
Raoul Robert
Spaces of Observables in Nonlinear Control
Eduardo D. Sontag
Changes in the Teaching of Undergraduate Mathematics: The Role of Technology
Deborah Hughes-Hallett
Issues for the Popularization of Mathematics
Joel Schneider
Number Theory as a Core Mathematical Discipline
John Stillwell
Mathematics in Medieval Islamic Spain
Jan P. Hogendijk
Mathematics in National Contexts (1875–1900): An International Overview
Karen Hunger Parshall
Hermann Weyl’s “Purely Infinitesimal Geometry”
Erhard Scholz

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DOI: 10.1007/978-3-0348-9078-6

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