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]
- Jeffrey Adams:
- Genuine representations of the metaplectic group
- Henning Haahr Andersen:
- The irreducible characters for semisimple algebraic groups and for quantum groups
- Michael T. Anderson:
- Einstein metrics and metrics with bounds on Ricci curvature
- Victor Bangert:
- Minimal foliations and laminations
- 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
- Kevin Corlette:
- Harmonic maps, rigidity and Hodge theory
- S. G. Dani:
- Flows on homogeneous spaces and diophantine approximation
- Ingrid Daubechies:
- Wavelets and other phase space localization tools
- Jean-Pierre Demailly:
- $L^2$ methods and effective results in algebraic geometry
- Gerd Faltings:
- The ubiquity of stability in algebraic geometry
- John Friedlander:
- Bounds for $L$-functions
- Jürg Frölich:
- The fractional quantum Hall effect, Chern-Simons theory, and integral lattices
- Alexander B. Givental:
- Homological geometry and mirror symmetry
- Robert E. Gompf:
- Smooth 4-manifolds and symplectic topology
- A. B. Goncharov:
- Polylogarithms in arithmetic and geometry
- David Harbater:
- Fundamental groups of curves in characteristic $p$
- Uwe Jannsen:
- Mixed motives, motivic cohomology, and Ext-groups
- Nicolaos Kapouleas:
- Constant mean curvature surfaces in Euclidean spaces
- Frances Kirwan:
- Intersection pairings on quotients and moduli spaces and Witten's nonabelian
localization
- Maxim Kontsevich:
- Homological algebra of mirror symmetry
- H. Blaine Lawson, Jr:
- Spaces of algebraic cycles (levels of holomorphic approximation)
- Claude LeBrun:
- Anti-self-dual 4-manifolds and Kähler geometry
- Jian-Shu Li:
- Singular automorphic forms
- Jun Li:
- The geometry of moduli of vector bundles over algebraic surfaces
- Peter Littelmann:
- A path model for representations of symmetrizable Kac-Moody algebras
- Alain Louveau:
- Borel equivalence relations
- Alexander Lubotzky:
- Subgroup growth
- John Luecke:
- Dehn surgery on knots in the 3-sphere
- Howard Masur:
- Teichmüller space, dynamics, probability
- Ngaiming Mok:
- Fibering compact K\"ahler manifolds over projective-algebraic manifolds
of the general type
- Jean-François Mestre:
- Constructions polynomiales et théorie de Galois
- Yoichi Miyaoka:
- Rational curves on algebraic varieties
- R. Parimala:
- Study of quadratic spaces over algebraic varieties -- revelance in algebra and
geometry
- G. Perelman:
- Spaces with curvature bounded below
- Bernadette Perrin-Riou:
- Fonctions $Lp$-adiques
- Anand Pillay:
- Model theory, differential algebra and number theory, some recent interactions
- Pavel Pudlàk:
- Logic and complexity
- M. Rapoport:
- Non-archimedean period domains
- Marina Ratner:
- Interactions between ergodic theory, Lie groups and number theory
- J. H. Rubinstein:
- An algorithm to recognise the 3-sphere
- Alexei N. Rudakov:
- Rigid and exceptional sheaves on Fano varieties
- Dietmar Salamon:
- Lagrangian intersections, 3-manifolds with boundary, and the Atiyah-Floer conjecture
- Gerald W. Schwarz:
- Invariant differential operators
- Wolfgang Soergel:
- Gradings on representation categories
- Stephan Stolz:
- Manifolds of positive scalar curvature
- Clifford Henry Taubes:
- Anti-self dual geometry
- Michel Van den Bergh:
- Local cohomology of modules of covariants
- 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
- Claire Voisin:
- Variations of Hodge structure and algebraic cycles
- Jean-Loup Waldspurger:
- Comparaison d'intégrales orbitales pour des groupes $p$-adiques
- Shmuel Weinberger:
- Nonlocally linear manifolds and orbifolds
- Jean-Christophe Yoccoz:
- Recent developments in dynamics
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