ICM 94 Abstracts
Zürich, August 1994
The abstracts offered here are based on those that were distributed in the booklet
of Abstracts given out at the ICM. They are given here by kind permission of the
IMU Secretary, Jacob Palis, and President, David Mumford, and of the Secretary of
the Congress, Christian Blatter, as well as of the Editor of the Proceedings, S.
D. Chatterji. The Proceedings have since been published by Birkhäuser Press,
and thanks are due to Anne A'Campo of Birkhäuser for agreeing to the posting
of these early versions of the abstracts of the talks. [Proceedings of the International
Congress of Mathematicians. Vol. 1, 2. (English) Held in Zürich, August 3--11,
1994. Edited by S. D. Chatterji. Birkhäuser Verlag, Basel, 1995. Vol.
1: lxxii+717 pp.; Vol. 2: pp. i--xiii and 718--1605. $275.00 the two-volume set.
ISBN 3-7643-5153-5]
The texts were keyboarded in TeX encoding in Ann Arbor, Michigan
with support from private donors.
[In progress: Items are still being added]
- Plenary Sessions
- Ingrid Daubechies:
- Wavelets and other phase space localization tools
- Jürg Frölich:
- The fractional quantum Hall effect, Chern-Simons theory, and integral lattices
- Maxim Kontsevich:
- Homological algebra of mirror symmetry
- Marina Ratner:
- Interactions between ergodic theory, Lie groups and number theory
- Clifford Henry Taubes:
- Anti-self dual geometry
- S. R. S. Varadhan:
- Entropy methods in hydrodynamic scaling
- V. A. Vassiliev:
- Topology of discriminants and their complements
- Dan Voiculescu:
- Free noncommutative probability theory, random matrices and von Neumann algebras
of free groups
- Jean-Christophe Yoccoz:
- Recent developments in dynamics
- 01 Logic
- Alain Louveau:
- Borel equivalence relations
- Anand Pillay:
- Model theory, differential algebra and number theory, some recent interactions
- Pavel Pudlàk:
- Logic and complexity
- 02 Algebra
- Peter Littelmann:
- A path model for representations of symmetrizable Kac-Moody algebras
- Alexander Lubotzky:
- Subgroup growth
- Jean-François Mestre:
- Constructions polynomiales et théorie de Galois
- R. Parimala:
- Study of quadratic spaces over algebraic varieties -- revelance in algebra and
geometry
- Gerald W. Schwarz:
- Invariant differential operators
- Michel Van den Bergh:
- Local cohomology of modules of covariants
- 03 Number theory
- John Friedlander:
- Bounds for $L$-functions
- A. B. Goncharov:
- Polylogarithms in arithmetic and geometry
- Bernadette Perrin-Riou:
- Fonctions $Lp$-adiques
- M. Rapoport:
- Non-archimedean period domains
- 04 Geometry
-
- Michael T. Anderson:
- Einstein metrics and metrics with bounds on Ricci curvature
- Victor Bangert:
- Minimal foliations and laminations
- Kevin Corlette:
- Harmonic maps, rigidity and Hodge theory
- Alexander B. Givental:
- Homological geometry and mirror symmetry
- Nicolaos Kapouleas:
- Constant mean curvature surfaces in Euclidean spaces
- Frances Kirwan:
- Intersection pairings on quotients and moduli spaces and Witten's nonabelian
localization
- Claude LeBrun:
- Anti-self-dual 4-manifolds and Kähler geometry
- Jun Li:
- The geometry of moduli of vector bundles over algebraic surfaces
- G. Perelman:
- Spaces with curvature bounded below
- Dietmar Salamon:
- Lagrangian intersections, 3-manifolds with boundary, and the Atiyah-Floer conjecture
- 05 Topology
- Robert E. Gompf:
- Smooth 4-manifolds and symplectic topology
- H. Blaine Lawson, Jr:
- Spaces of algebraic cycles (levels of holomorphic approximation)
- John Luecke:
- Dehn surgery on knots in the 3-sphere
- J. H. Rubinstein:
- An algorithm to recognise the 3-sphere
- Stephan Stolz:
- Manifolds of positive scalar curvature
- Shmuel Weinberger:
- Nonlocally linear manifolds and orbifolds
- 06 Algebraic geometry
- Gerd Faltings:
- The ubiquity of stability in algebraic geometry
- David Harbater:
- Fundamental groups of curves in characteristic $p$
- Uwe Jannsen:
- Mixed motives, motivic cohomology, and Ext-groups
- Yoichi Miyaoka:
- Rational curves on algebraic varieties
- Alexei N. Rudakov:
- Rigid and exceptional sheaves on Fano varieties
- Claire Voisin:
- Variations of Hodge structure and algebraic cycles
- 07 Lie groups and representations
-
- Jeffrey Adams:
- Genuine representations of the metaplectic group
- Henning Haahr Andersen:
- The irreducible characters for semisimple algebraic groups and for quantum groups
- Richard E. Borcherds:
- Automorphic forms on $O_{n,2}({\bf R})$ and generalized Kac-Moody algebras
- Michel Brion:
- Embeddings of spherical homogeneous spaces
- Colin J. Bushnell:
- Smooth representations of $p$-adic groups -- the role of compact open
- S. G. Dani:
- Flows on homogeneous spaces and diophantine approximation
- Jian-Shu Li:
- Singular automorphic forms
- Wolfgang Soergel:
- Gradings on representation categories
- Jean-Loup Waldspurger:
- Comparaison d'integrales orbitales pour des groueps $p$-adiques
- 08 Real and complex analysis
- Jean-Pierre Demailly:
- $L^2$ methods and effective results in algebraic geometry
- Howard Masur:
- Teichmüller space, dynamics, probability
- Ngaiming Mok:
- Fibering compact K\"ahler manifolds over projective-algebraic manifolds
of the general type
- 09 Operator algebras and functional analysis
- George A. Elliott:
- The classification problem for amenable $C^*$-algebras
- W. T. Gowers:
- Recent results in the theory of infinite-dimensional Banach spaces
- 10 Probability and statistics
- Howard Masur:
- Teichmüller space, dynamics, probability
- 11 Partial Differential equations
- Howard Masur:
- Teichmüller space, dynamics, probability
- 12 Ordinary differential equations and dynamical systems
- Howard Masur:
- Teichmüller space, dynamics, probability
- 13 Mathematical physics
- Howard Masur:
- Teichmüller space, dynamics, probability
- 14 Combinatorics
- Howard Masur:
- Teichmüller space, dynamics, probability
- 15 Mathematical aspects of computer science
- Howard Masur:
- Teichmüller space, dynamics, probability
- 16 Numerical analysis and scientific computing
- Howard Masur:
- Teichmüller space, dynamics, probability
- 17 Applications of mathematics in the sciences
- Howard Masur:
- Teichmüller space, dynamics, probability
- 18 Teaching and popularization of mathematics
- Howard Masur:
- Teichmüller space, dynamics, probability
- 19 History of mathematics
- Howard Masur:
- Teichmüller space, dynamics, probability
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