Proceedings of the International Congress of Mathematicians: August 3–11, 1994 Zürich, Switzerland

Front Matter....Pages i-xiii
Front Matter....Pages 719-719
Genuine Representations of the Metaplectic Group and Epsilon Factors....Pages 721-731
The Irreducible Characters for Semi-Simple Algebraic Groups and for Quantum Groups....Pages 732-743
Automorphic Forms on O s +2,2 (ℝ + and Generalized Kac-Moody Algebras....Pages 744-752
Spherical Varieties....Pages 753-760
Rigidity Properties of Group Actions on CAT(0)-Spaces....Pages 761-769
Smooth Representations of p -adic Groups: The Role of Compact Open Subgroups....Pages 770-779
Flows on Homogeneous Spaces and Diophantine Approximation....Pages 780-789
Singular Automorphic Forms....Pages 790-799
Gradings on Representation Categories....Pages 800-806
Comparaison d’intégrales orbitales pour des Groupes p -adiques....Pages 807-816
 L 2 -Methods and Effective Results in Algebraic Geometry....Pages 817-827
Meromorphic Functions: Progress and Problems....Pages 828-835
Teichmüller Space, Dynamics, Probability....Pages 836-849
Fibering Compact Kähler Manifolds over Projective Algebraic Varieties of General Type....Pages 850-861
Regularity of Fourier Integral Operators....Pages 862-874
Finding Structure in Sets with Little Smoothness....Pages 875-885
Topological, Geometric and Complex Analytic Properties of Julia Sets....Pages 886-895
Smoothing Estimates for the Wave Equation and Applications....Pages 896-906
A Survey of Möbius Groups....Pages 907-916
Geometric and Dynamical Aspects of Real Submanifolds of Complex Space....Pages 917-921
Front Matter....Pages 719-719
The Classification Problem for Amenable C*-Algebras....Pages 922-932
Recent Results in the Theory of Infinite-Dimensional Banach Spaces....Pages 933-942
Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras....Pages 943-954
Distortion and Stabilized Structure in Banach Spaces; New Geometric Phenomena for Banach and Hilbert Spaces....Pages 955-965
Operator Algebras and Conformal Field Theory....Pages 966-979
Brownian Motion, Heat Kernels, and Harmonic Functions....Pages 980-985
Interaction and Hierarchy in Measure-Valued Processes....Pages 986-996
Abstract Statistical Estimation and Modern Harmonic Analysis....Pages 997-1005
Quasi-Regular Dirichlet Forms and Applications....Pages 1006-1016
A Surface View of First-Passage Percolation....Pages 1017-1023
Quantum Stochastic Calculus....Pages 1024-1035
Measure-Valued Branching Diffusions and Interactions....Pages 1036-1046
Diffusion Processes in Random Environments....Pages 1047-1054
Analytical and Numerical Aspects of Fluid Interfaces....Pages 1055-1064
Morse Theory in Differential Equations....Pages 1065-1076
Analyse microlocale et mécanique des fluides en dimension deux....Pages 1077-1085
Some Mathematical Problems of Fluid Mechanics....Pages 1086-1095
Hyperbolic Systems of Converstaion Laws....Pages 1096-1107
Eigenfunctions and Harmonic Functions in Convex and Concave Domains....Pages 1108-1117
Kinetic Equations and Hyperbolic Systems of Conversation Laws....Pages 1118-1125
Front Matter....Pages 719-719
The Cauchy Problem for Harmonic Maps on Minkowski Space....Pages 1126-1132
Interface Dynamics in Phase Transitions....Pages 1133-1144
Fully Nonlinear Elliptic Equations and Applications to Geometry....Pages 1145-1152
Lower-Semicontinuity of Variational Integrals and Compensated Compactness....Pages 1153-1158
The Riemann-Hilbert Problem and Fuchsian Differential Equations on the Riemann Sphere....Pages 1159-1168
Invariant Sets of Hamiltonian Systems and Variational Methods....Pages 1169-1178
Rotation Vectors for Surface Diffeomorphisms....Pages 1179-1186
A Priori Estimates and Regularity of Nonlinear Waves....Pages 1187-1194
Applications of Dynamics to Compact Manifolds of Negative Curvature....Pages 1195-1202
On the Borderline of Real and Complex Dynamics....Pages 1203-1215
Ergodic Variational Methods: New Techniques and New Problems....Pages 1216-1220
Homoclinic Bifurcations and Persistence of Nonuniformly Hyperbolic Attractors....Pages 1221-1229
Ergodic Theory of Attractors....Pages 1230-1237
Noncommutative Geometry and Quantum Hall Effect....Pages 1238-1246
Conformal Field Theory and Integrable Systems Associated to Elliptic Curves....Pages 1247-1255
Free Field Realizations in Representation Theory and Conformal Field Theory....Pages 1256-1269
Homogenized Models of Strongly Inhomogeneous Media....Pages 1270-1278
Fluxes and Dimers in the Hubbard Model....Pages 1279-1280
Von Neumann Algebras and Quantum Field Theory....Pages 1281-1291
Two-dimensional Yang-Mills Theory and Topological Field Theory....Pages 1292-1303
Front Matter....Pages 719-719
Eigenvalues of Graphs....Pages 1333-1342
Extremal Hypergraphs and Combinatorial Geometry....Pages 1343-1352
Asymptotics of Hypergraph Matching, Covering and Coloring Problems....Pages 1353-1362
Combinatorics and Convexity....Pages 1363-1374
Probabilistic Methods in Combinatorics....Pages 1375-1383
Asymptotic Combinatorics and Algebraic Analysis....Pages 1384-1394
Methods of Control Theory in Nonholonomic Geometry....Pages 1473-1483
Probabilistic Proof Systems....Pages 1395-1406
The Computational Complexity of Counting....Pages 1407-1416
Methods for Message Routing in Parallel Machines....Pages 1417-1417
Randomness and Nondeterminism....Pages 1418-1419
Mathematical Modeling and Numerical Analysis of Linearly Elastic Shells....Pages 1420-1428
Multiscale Techniques — Some Concepts and Perspectives....Pages 1429-1439
Matrix Computation and the Theory of Moments....Pages 1440-1448
Subscale Capturing in Numerical Analysis....Pages 1449-1459
Analysis-Based Fast Numerical Algorithms of Applied Mathematics....Pages 1460-1467
Solving Numerically Hamiltonian Systems....Pages 1468-1472
Mirror Symmetry and Moduli Spaces of Superconformal Field Theories....Pages 1304-1314
The Critical Behavior of Random Systems....Pages 1315-1324
A Rigorous (Renormalization Group) Analysis of Superconducting Systems....Pages 1325-1332
Front Matter....Pages 719-719
Whiskered Tori and Chaotic Behavior in Nonlinear Waves....Pages 1484-1493
Formulas for Finding Coefficients from Nodes/Nodal Lines....Pages 1494-1501
Backward Stochastic Differential Equations and Applications....Pages 1502-1510
Max-Plus Algebra and Applications to System Theory and Optimal Control....Pages 1511-1522
Statistical Mechanics and Hydrodynamical Turbulence....Pages 1523-1531
Spaces of Observables in Nonlinear Control....Pages 1532-1545
Changes in the Teaching of Undergraduate Mathematics: The Role of Technology....Pages 1546-1550
Issues for the Popularization of Mathematics....Pages 1551-1558
Number Theory as a Core Mathematical Discipline....Pages 1559-1567
Mathematics in Medieval Islamic Spain....Pages 1568-1580
Mathematics in National Contexts (1875–1900): An International Overview....Pages 1581-1591
Hermann Weyl’s “Purely Infinitesimal Geometry”....Pages 1592-1603
Back Matter....Pages 1604-1605