Proceedings,

Title Page......Page 3
Copyright......Page 4
Preface......Page 5
Contents......Page 7
Past Congresses......Page 9
Past Fields Medalists and Rolf Nevanlinna Prize Winners......Page 11
Organization of the Congress......Page 13
The Organizing Committee of the International Congress of Mathematicians 1990......Page 15
List of Donors......Page 22
Opening Ceremonies......Page 25
Closing Ceremonies......Page 39
Scientific Program......Page 43
List of Participants......Page 51
Membership by Nationality......Page 87
The Work of the Fields Medalists and the Rolf Nevanlinna Prize Winner......Page 89
Invited One-Hour Addresses at the Plenary Sessions......Page 129
Spencer Bloch: Algebraic K-Theory, Motives, and Algebraic Cycles......Page 131
Stephen A, Cook: Computational Complexity of Higher Type Functions......Page 143
Boris L. Feigin: Conformal Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve......Page 159
Andreas Floer: Elliptic Methods in Variational Problems......Page 175
Yasutaka Ihara: Braids, Galois Groups, and Some Arithmetic Functions......Page 187
Vaughan F. R. Jones : Von Neumann Algebras in Mathematics and Physics......Page 209
Laszlo Lovasz: Geometric Algorithms and Algorithmic Geometry......Page 227
George Lusztig: Intersection Cohomology Methods in Representation Theory......Page 243
Andrew J. Majda: The Interaction of Nonlinear Analysis and Modern Applied Mathematics......Page 263
Grigorii A. Margulis: Dynamical and Ergodic Properties of Subgroup Actions on Homogeneous Spaces with Applications to Number Theory......Page 281
Richard B. Melrose: Pseudodifferential Operators, Corners and Singular Limits......Page 305
Shigefumi Mori: Birational Classification of Algebraic Threefolds......Page 323
Yakov G. Sinai: Hyperbolic Billiards......Page 337
Karen Uhlenbeck: Applications of Non-Linear Analysis in Topology......Page 349
Alexandre Varchenko: Multidimensional Hypergeometric Functions in, Conformal Field Theory, Algebraic K-Theory, Algebraic Geometry......Page 369
Invited Forty-Five Minute Addresses at the Section Meetings......Page 389
Theodore A. Slaman: Degree Structures......Page 391
Jon F. Carlson: Cohomology and Modules over Group Algebras......Page 405
Rostislav I. Grigorchuk: On Growth in Group Theory......Page 413
Craig Huneke: Absolute Integral Closure and Big Cohen-Macaulay Algebras......Page 427
Alexander R. Kemer: Identities of Associative Algebras......Page 439
Paul C. Roberts: Intersection Theory and the Homological Conjectures in Commutative Algebra......Page 449
Klaus W. Roggenkamp: The Isomorphism Problem for Integral Group Rings of Finite Groups......Page 457
Robert W. Thomason: The Local to Global Principle in Algebraic K-Theory......Page 469
Efim I. Zelmanov: On the Restricted Burnside Problem......Page 483
Henri Gillet: A Riemann-Roch Theorem in Arithmetic Geometry......Page 491
Martin N. Huxley: Area, Lattice Points and Exponential Sums......Page 501
Kazuya Kato: Generalized Class Field Theory......Page 507
Victor Alecsandrovich Kolyvagin: On the Mordell-Weil Group and the Shafarevich-Tate Group of Modular Elliptic Curves......Page 517
Gerard Laumon: La Transformation de Fourier Geometrique et ses Applications......Page 525
Yuri Nesterenko: Algebraic Independence of Values of Analytic Functions......Page 535
Peter C. Sarnak: Diophantine Problems and Linear Groups......Page 547
Tetsuji Shioda: Theory of Mordell-Weil Lattices......Page 561
Kenji Fukaya: Collapsing Riemannian Manifolds and Its Applications......Page 579
Etienne Ghys : Le Cercle a l\'Infini des Surfaces a Courbure Negative......Page 589
Karsten Grove : Metric and Topological Measurements of Manifolds......Page 599
Helmut Hofer: Symplectic Invariants......Page 609
Peter B. Kronheimer: Embedded Surfaces in 4-Manifolds......Page 617
Dusa McDuff: Symplectic 4-Manifolds......Page 629
John J. Millson: Rational Homotopy Theory and Deformation Problems from Algebraic Geometry......Page 637
Eugenii I. Shustin: Geometry of Discriminant and Topology of Algebraic Curves......Page 647
Joseph H. M. Steenbrink: Applications of Hodge Theory to Singularities......Page 657
Toshikazu Sunada: (with M. Nishio) Trace Formulae in Spectral Geometry......Page 665
Gang Tian: Kahler-Einstein Metrics on Algebraic Manifolds......Page 675
Francis Bonahon: Ensembles Limites et Applications......Page 687
David Gabai: Foliations and 3-Manifolds......Page 697
Thomas G, Goodwillie: The Differential Calculus of Homotopy Functors......Page 709
Cameron McA. Gordon: Dehn Surgery on Knots......Page 719
Kiyoshi Igusa: Parametrized Morse Theory and Its Applications......Page 731
Lowell E. Jones: (with F. T. Farrell) Rigidity in Geometry and Topology......Page 741
Shigeyuki Morita: Mapping Class Groups of Surfaces and Three-Dimensional Manifolds......Page 753
Henri Moscovici: Cyclic Cohomology and Invariants of Multiply Connected Manifolds......Page 763
Vladimir G. Turaev: State Sum Models in Low-Dimensional Topology......Page 777
Yujiro Kawamata: Canonical and Minimal Models of Algebraic Varieties......Page 787
Janos Kollar: Flip and Flop......Page 797
Robert K. Lazarsfeld: Linear Series on Algebraic Varieties......Page 803
Morihiko Saito: Mixed Hodge Modules and Applications......Page 813
Leslie Saper: L2-Cohomology of Algebraic Varieties......Page 823
Carlos T. Simpson: Nonabelian Hodge Theory......Page 835
Paul Vojta: Arithmetic and Hyperbolic Geometry......Page 845
Author Index......Page 855