ICM 1998

International Congress of Mathematicians

Berlin, August 18-27, 1998

Abstracts of Plenary and Invited Lectures


This page includes abstracts of the lectures given by the Plenary and Invited Speakers of the ICM 1998.

The Scientific Committee of the ICM 1998 and the Editor are not responsible for the content of the abstracts. The abstracts do not constitute a part of the published proceedings of ICM 1998.

The abstracts of the plenary lectures are given in section 0, ordered alphabetically by authors' names, the abstracts of the invited lectures are ordered by sections and, within each section, alphabetically by the authors' names, except for sections 16 and 18, where a special arrangement was made.

Every abstract is given here in the formats postscript (ps), gzip compressed postscript (ps.gz), dvi and gzip compressed dvi (dvi.ps).


Total Abstract Volume, A4 format, Postscript, 212 pages: ps.gz (1.4 Mbyte), ps (2.8 Mbyte)

0. Plenary Lectures
1. Logic
2. Algebra
3. Number Theory and Arithmetic Algebraic Geometry
4. Algebraic Geometry
5. Differential Geometry and Global Analysis
6. Topology
7. Lie Groups and Lie Algebras
8. Analysis
9. Ordinary Differential Equations and Dynamical Systems
10. Partial Differential Equations
11. Mathematical Physics
12. Probability and Statistics
13. Combinatorics
14. Mathematical Aspects of Computer Science
15. Numerical Analysis and Scientific Computing
16. Applications
17. Control Theory and Optimization
18. Teaching and Popularization of Mathematics
19. History of Mathematics

Section 0. Plenary Lectures

1991 MSC: 32L10,57R20,58G10
Author: Bismut, Jean-Michel, Université Paris-Sud 91405 Orsay, France
Titel: Local index theory and higher analytic torsion
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1991 MSC: 11, 14, 58F
Author: Deninger, Christopher, Westf. Wilhelms-Universität Münster, Germany
Titel: Some analogies between number theory and dynamical systems on foliated spaces
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1991 MSC:
Author: Persi Diaconis, Department of Mathematics and ORIE, Cornell University; Departments of Mathematics and Statistics, Stanford University, USA
Titel: From Shuffling Cards to Walking Around the Building
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1991 MSC:
Author: Gallavotti, Giovanni, Universitá La Sapienza, Roma, Italy
Titel: The Chaotic hypothesis and universal large deviations properties
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1991 MSC: 65,65F,65N,65R
Author: Hackbusch, Wolfgang, Universität zu Kiel, Germany
Titel: From Classical Numerical Mathematics to Scientific Computing
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1991 MSC: 32, 34, 35, 49, 49, 58, 70
Author: Hofer, Helmut, Courant Institute, New York, USA
Titel: Dynamics, Topology and Holomorphic Curves
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1991 MSC: 03C45, 03C60
Author: Hrushovski, Ehud, Hebrew University, Jerusalem, Israel
Titel: Geometric model theory
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1991 MSC:
Author: Macdonald, I. G., Queen Mary and Westfield College, University of London, England
Titel: Constant Term Identities, Orthogonal Polynomials and Affine Hecke Algebras
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1991 MSC: Primary 94A12; Secondary 41A25, 46E35, 62G05
Author: Stéphane Mallat, Ecole Polytechnique, Paris, France - and Courant Institute, New York, USA
Titel: Applied Mathematics Meets Signal Processing
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1991 MSC: 53C15, 58D99
Author: Dusa McDuff, State University of New York at Stony Brook, USA
Titel: Fibrations in Symplectic Topology
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1991 MSC: 81, 82
Author: Miwa, Tetsuji, RIMS, Kyoto University, Japan
Titel: Algebraic Analysis of Solvable Lattice Models
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1991 MSC:
Author: Moser, Jürgen, ETH Zürich, Switzerland
Titel: Dynamical Systems -- Past and Present
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1991 MSC: 60H15, 73D70, 35R60
Author: Papanicolaou, George C., Stanford University, USA
Titel: Mathematical problems in geophysical wave propagation
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1991 MSC:
Author: Gilles Pisier, Université Paris VI, and Texas A&M University
Titel: Operator Spaces and Similarity Problems
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1991 MSC:
Author: Sarnak, Peter, Princeton University, USA
Titel: Zeta and L-functions
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1991 MSC: 11Y05, 68Q05, 81P99
Author: Shor, Peter W., AT&T Labs, Florham Park, USA
Titel: Quantum Computing
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1991 MSC:
Author: Sigmund, Karl, University of Vienna, Austria
Titel: The Population Dynamics of Conflict and Cooperation
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1991 MSC:
Author: Michel Talagrand, C. N. R. S., Université Paris VI, France
Titel: Huge random structures and mean field models for spin glasses
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1991 MSC:
Author: Vafa, Cumrun, Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA
Titel: Geometric Physics
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1991 MSC: 58, 34, 60
Author: Viana, Marcelo, IMPA - Rio de Janeiro, Brazil
Titel: Dynamics: a probabilistic and geometric perspective
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1991 MSC: 14XX
Author: Voevodsky, Vladimir, Northwestern University, USA
Titel: Homotopy Theory of Algebraic Varieties
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Section 1. Logic

1991 MSC: 3,4,5,28
Author: Foreman, Matthew, University of California, Irvine, USA
Titel: Generic Large Cardinals: New Axioms for Mathematics?
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1991 MSC: 3, 4
Author: Hjorth, Greg, University of California at Los Angeles, USA
Titel: When is an equivalence relation classifiable?
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1991 MSC: 03C45
Author: Newelski, Ludomir, University of Wroc{ }aw and Polish Academy of Sciences, Poland
Titel: Meager forking and m-independence
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1991 MSC: 04
Author: Todorcevic, Stevo C. N. R. S., Universit\'{e} Paris VII, France Matematicki Institut, Beograd, Yugoslavia University of Toronto, Canada
Titel: Basis Problems in Combinatorial Set Theory
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1991 MSC: 3, 26, 51
Author: Wilkie, Alex J., Oxford University, UK
Titel: O-minimality
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Section 2. Algebra

1991 MSC: 14L15, 17B50
Author: Friedlander, Eric M., Northwestern University, USA
Titel: Geometry of Infinitesimal Group Schemes
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1991 MSC: 20
Author: Ivanov, Sergei, University of Illinois at Urbana-Champaign, U. S. A.
Titel: On the Burnside problem for groups of even exponent
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1991 MSC:
Author: William M. Kantor, Department of Mathematics University of Oregon Eugene, OR 97403-1222 USA
Titel: Simple Groups in Computational Group Theory
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1991 MSC: 20G
Author: Malle, Gunter, Universität Heidelberg, Germany
Titel: Spetses
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1991 MSC: 14, 12
Author: Pukhlikov, Aleksandr V., Institute for Systems Analysis, Moscow, Russia
Titel: Birational automorphisms of algebraic varieties
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1991 MSC: 16, 18
Author: Reiten, Idun, Norwegian University of Science and Technology, Trondheim, Norway
Titel: Tilting Theory and Quasitilted algebras
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1991 MSC: 18, 20
Author: Rickard, Jeremy, University of Bristol, England
Titel: The abelian defect group conjecture
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1991 MSC: 20P05, 20D06, 20B15
Author: Shalev, Aner, Hebrew University, Jerusalem, Israel
Titel: Simple groups, permutation groups, and probability
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Section 3. Number Theory and Arithmetic Algebraic Geometry

1991 MSC: 14G20, 14F20, 11G25, 32P05, 32C37
Author: Berkovich, Vladimir G., Dept. of Theoretical Mathematics, Weizmann Institute of Science, Rehovot, Israel
Titel: $P$-adic analytic spaces
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1991 MSC: 11
Author: Colmez, Pierre, CNRS, École Normale Supérieure et Institut de Math. de Jussieu, Paris, France
Titel: $( , )$-modules and Iwasawa theory of $p$-adic representations
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1991 MSC: 11
Author: Duke, William, Rutgers University, USA
Titel: Bounds for arithmetic multiplicities
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1991 MSC: 11J (11J85, 11J89, 11J91) , 11F11
Author: Gramain, Fran cois, Université de Saint-Étienne, France
Titel: Some results of algebraic independence
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1991 MSC: 11
Author: Merel, Lo\"ic, Université Paris 7 -- Denis Diderot, France
Titel: Determination of rational points using Dirichlet series
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1991 MSC: 14F30
Author: Shinichi Mochizuki, Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-01, Japan
Titel: The Intrinsic Hodge Theory of p-adic Hyperbolic Curves
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1991 MSC: 11 J 13, 11 J 68, 11 J 61, 11 D 61, 11 D 72
Author: Schlickewei, Hans Peter, Philipps-Universität Marburg, Germany
Titel: The Absolute Subspace Theorem and Applications
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1991 MSC: 11, 14
Author: Tsuji, Takeshi, Research Institute for Mathematical Sciences, Kyoto University, Japan
Titel: $p$-adic Hodge Theory in the semi-stable reduction case
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1991 MSC: 11, 14
Author: Zhang, Shou-Wu, Columbia University, USA
Titel: Small points, Heegner points, and Arakelov theory
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Section 4. Algebraic Geometry

1991 MSC: 14J32, 14J28, 14J60, 81T30
Author: Aspinwall, Paul, Duke University, USA
Titel: Geometry and String Duality
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1991 MSC: 14, 52, 81
Author: Batyrev, Victor, Universtität Tübingen, Germany
Titel: Mirror symmetry and toric geometry
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1991 MSC: 14H10, 14D22
Author: Cornalba, Maurizio, UniversitÀ di Pavia, Italia
Titel: Cohomology of moduli spaces of stable curves
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1991 MSC: 14
Author: de Jong, Aise Johan, Princeton University, USA
Titel: Barsotti-Tate groups and crystals
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1991 MSC: 81T30
Author: Dijkgraaf, Robbert, University of Amsterdam
Titel: The Mathematics of Fivebranes
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1991 MSC: 14C25, 14C30, 14D07, 32G20, 32J25
Author: Green, Mark, University of California, Los Angeles, California (USA)
Titel: Higher Abel-Jacobi Maps
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1991 MSC:
Author: Kapranov, M., Department of Mathematics Northwestern University, Evanston, USA
Titel: Operads and algebraic geometry
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Section 5. Differential Geometry and Global Analysis

1991 MSC:
Author: Burago, Dima, Pennsylvania State University, USA
Titel: Hard Balls Gas and Alexandrov Spaces of Curvature Bounded Above
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1991 MSC: 13, 10, 8
Author: Colding, Tobias Holck, Courant Institute, New York University, USA
Titel: Manifolds and spaces with Ricci curvature bounds
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1991 MSC: 58b
Author: Donaldson, Simon, Stanford University, USA
Titel: Positive line bundles in symplectic geometry
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1991 MSC: 53B50, 32G34, 35Q15, 35Q53, 52B
Author: Dubrovin, Boris, SISSA, Trieste, Italy, and Steklov Math. Institute, Moscow, Russia
Titel: Geometry and analytic theory of Frobenius manifolds
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1991 MSC: 53C15
Author: Eliashberg, Yakov, Stanford University, USA
Titel: Invariants in Contact Topology
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1991 MSC: Primary: 58F17, 53C20, 58E35, 58F11; Secondary: 53C23, 53C21, 58E11
Author: Sylvestre Gallot, Université de Mathématiques Pures et Appliqu\'{e}es (U. M. P. A.), École Normale Supérieure de Lyon, France (on a joined work with G. Courtois and G. Besson)
Titel: Curvature-decreasing maps are volume-decreasing
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1991 MSC: 35, 49, 53
Author: Huisken, Gerhard, Universität Tübingen, Germany
Titel: Evolving hypersurfaces by their curvature
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1991 MSC: 53, 55, 58
Author: Joyce, Dominic, Lincoln College, Oxford, England
Titel: Compact Riemannian manifolds with exceptional holonomy
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1991 MSC: 53C15, 57S20, 58F99, 58F15
Author: Labourie, Fran{ c}ois, Université Paris-Sud, France
Titel: Large Group Actions on Manifolds
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1991 MSC:
Author: Joachim Lohkamp, Universität Augsburg, Germany
Titel: to be announced
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1991 MSC: 53 C 42
Author: Pinkall, Ulrich, TU Berlin
Titel: Quaternionic line bundles and the differential geometry of surfaces
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1991 MSC:
Author: Leonid Polterovich, School of Mathematical Sciences, Tel Aviv University, Israel
Titel: Geometry on the Group of Hamiltonian Diffeomorphisms
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1991 MSC: 58xx
Author: Ruan, Yongbin, University of Wisconsin-Madison, USA
Titel: Quantum cohomology and its applications
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Section 6. Topology

1991 MSC: 20, 53, 54, 55
Author: Dranishnikov, Alexander, University of Florida/Steklov Math. Institute, USA
Titel: Dimension theory and large Riemannian manifolds
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1991 MSC: 55
Author: Dwyer, William G., University of Notre Dame, USA
Titel: Lie groups and $p$-compact groups
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1991 MSC: 57R55
Author: Fintushel, Ronald, Michigan State University, USA; - Stern, Ronald J., University of California at Irvine, USA
Titel: Knot Surgery on $4$-Manifolds
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1991 MSC: 57-XX Manifolds and cell complexes; 68-XX Computer Science; 81-XX Quantum Theory
Author: Freedman, Michael H. ; Microsoft Corporation, Redmond, WA, U. S. A.
Titel: Topological views of computational complexity
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1991 MSC: 55Oxx
Author: Mahowald, Mark, Mathematics Department, Northwestern University, Evanston, IL 60208, USA
Titel: Toward a global understanding of $ _*(S^n)$
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1991 MSC: 57M
Author: Ohtsuki, Tomotada, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8552, Japan
Titel: A filtration of the set of integral homology 3-spheres
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1991 MSC:
Author: Bob Oliver, Département de Mathématiques Universit\'{e} Paris-Nord, Villetaneuse, France
Titel: Vector bundles over classifying spaces
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1991 MSC: 57R55
Author: Stern, Ronald J., University of California at Irvine, USA
Titel: Knot Surgery on $4$-Manifolds
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1991 MSC: 53, 58
Author: Taubes, Clifford H., Harvard University, USA
Titel: The Geometry of the Seiberg-Witten Invariants.
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Section 7. Lie Groups and Lie Algebras

1991 MSC: 11R39, 22E55
Author: Arthur, James, University of Toronto, Canada
Titel: Towards a stable trace formula
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1991 MSC: 22E46 22E30 43A70 46E35 46E39
Author: Bernstein, Joseph, Dept. Math. Tel Aviv University, Israel
Titel: Analytic structures on representation spaces of reductive groups
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1991 MSC:
Author: Ivan Cherednik, The University of North Carolina at Chapel Hill, USA
Titel: From double Hecke algebra to analysis
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1991 MSC: 22 11
Author: Eskin, Alex, University of Chicago, USA
Titel: Counting problems and semisimple groups
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1991 MSC: 22
Author: Kottwitz, Robert, University of Chicago, USA
Titel: Harmonic analysis on semisimple $p$-adic Lie algebras
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1991 MSC:
Author: L. Lafforgue, C. N. R. S., Université d'Orsay, France
Titel: Chtoucas de Drinfeld et applications
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1991 MSC: 20E06, 20E08, 20E32, 20F32, 22D40, 22E40
Author: Mozes, Shahar, Institute of Mathematics, Hebrew University, Jerusalem, Israel
Titel: Products of trees, lattices and simple groups
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1991 MSC:
Author: Serganova, Vera, UC Berkeley, USA
Titel: On representations of Lie superalgebras
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1991 MSC: 22,55,14
Author: Vilonen, Kari, Brandeis University, USA
Titel: Topological Methods in Representation Theory
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1991 MSC: 17B65, 17B67, 81R10
Author: Minoru Wakimoto, Kyushu University, Japan
Titel: Representation theory of affine superalgebras at the critical level
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Section 8. Analysis

1991 MSC: 30,35
Author: Astala, Kari, University of Jyväskylä, Finland
Titel: Analytic aspects of quasiconformality
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1991 MSC: 32, 35, 42
Author: Christ, Michael, University of California, Berkeley, USA
Titel: Singularity and Regularity --- Local and Global
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1991 MSC: 19K56, 46L80
Author: Higson, Nigel, Pennsylvania State University, USA.
Titel: The Baum-Connes Conjecture
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1991 MSC: 42A50
Author: Lacey, Michael, Georgia Institute of Technology, USA
Titel: On the Bilinear Hilbert Transform
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1991 MSC: 28A75, 30E20, 42B20
Author: Mattila, Pertti, University of Jyväskylä, Finland
Titel: Rectifiability, analytic capacity, and singular integrals
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1991 MSC: 46 , 52 , 60
Author: Milman, V. D., Tel Aviv University, Israel
Titel: Randomness and Pattern in Convex Geometric Analysis
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1991 MSC: 42B15, 22E30, 35L05
Author: Müller, Detlev, Math. Seminar der C. A. -Universität Kiel, Ludewig-Meyn-Str.4, D-24098 Kiel, Germany
Titel: $L^p$-functional calculus on Lie groups and estimates for wave equations
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1991 MSC: 35 49
Author: Müller, Stefan, MPI for Mathematics in the Sciences, Leipzig, Germany
Titel: Unexpected solutions of first and second order partial differential equations
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1991 MSC: 32B10,32B15,32B20,32D15,32H35,32H40
Author: Pinchuk, Sergey, Indiana University, USA /Chelyabinsk State Technical University, Russia
Titel: Reflection Principle in Higher Dimensions
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1991 MSC: 30, 42, 46
Author: Seip, Kristian, Norwegian University of Science and Technology, Norway
Titel: Developments from Nonharmonic Fourier Series
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1991 MSC: 35L05, 35R05, 35S30, 35S50
Author: Smith, Hart F., University of Washington, Seattle, USA
Titel: Wave Equations with Low Regularity Coefficients
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1991 MSC: 46B07 46B20 46B09
Author: Tomczak-Jaegermann, Nicole, Edmonton, Canada
Titel: From finite- to infinite-dimensional phenomena in Geometric Functional Analysis, on local and asymptotic levels
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1991 MSC: 42B 20, 42B 25, 11L 15
Author: Wainger, Stephen, University of Wisconsin, Madison
Titel: Discrete Analogues of Singular and Maximal Radon Transforms
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Section 9. Ordinary Differential Equations and Dynamical Systems

1991 MSC: 58F03, 58F23
Author: de Melo, Welington, IMPA, Brazil
Titel: Renormalization and Rigidity in one dimensional smooth dynamical systems
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1991 MSC: 34, 58, 81
Author: Eliasson, L. H., Royal Institute of Technology, Stockholm, Sweden
Titel: Reducibility and point spectrum for linear quasi-periodic skew-products
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1991 MSC: 58F10
Author: Hayashi, Shuhei, Waseda University, Japan
Titel: Hyperbolicity, stability and the creation of homoclinic points
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1991 MSC:
Author: Herman, Michael R., CNRS, Paris
Titel: Some open problems in dynamical systems
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1991 MSC: 58F11, 60J05, 58F15
Author: Kifer, Yuri, Hebrew University of Jerusalem, Israel
Titel: Random Dynamics and its Applications
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1991 MSC: 34, 35, 76
Author: Kuksin, Sergei B, Steklov Institute, Moscow, Russia, and Heriot-Watt University, Edinburgh, UK
Titel: Towards a Qualitative Theory of Hamiltonian PDEs
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1991 MSC: 58, 57
Author: Kuperberg, Krystyna M., Auburn University, USA
Titel: Counterexamples to the Seifert Conjecture
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1991 MSC: 30D05, 30F40, 58F11, 58F23
Author: McMullen, Curtis T., Harvard University, USA
Titel: Rigidity and inflexibility in conformal dynamics
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1991 MSC:
Author: Grzegorz \'{S}wi {a}tek, The Pennsylvania State University, USA
Titel: Induced Hyperbolicity for One-Dimensional Maps
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1991 MSC: 34 58 70
Author: Xia, Zhihong, Northwestern University, USA
Titel: Arnold diffusion and variational construction of connecting orbits
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Section 10. Partial Differential Equations

1991 MSC: 35Q55, 58E05
Author: Bethuel, Fabrice, Université de Paris-Sud À Orsay, France
Titel: Recent results for Ginzburg-Landau models
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1991 MSC: 35, 43, 49, 53
Author: Hélein, Frédéric, Ecole Normale Supérieure de Cachan, France
Titel: Phenomena of compensation and estimates for partial differential equations
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1991 MSC: 35, 49, 60
Author: Robert R. Jensen, Loyola University Chicago, USA
Titel: Viscosity solutions of elliptic partial differential equations
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1991 MSC:
Author: Lindblad, Hans, University of California at San Diego, La Jolla, CA, USA
Titel: Minimal regularity solutions of nonlinear wave equations
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1991 MSC: 35, 42
Author: Machedon, Matei, University of Maryland, USA
Titel: Fourier Analysis of Null Forms and Non-linear Wave Equations.
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1991 MSC: 35Bxx, 35Qxx
Author: Merle, Frank, Université de Cergy-Pontoise, France
Titel: Blow-up Phenomenon For Critical Nonlinear Schrödinger and Zakharov Equations.
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1991 MSC:
Author: Gustavo Ponce, University of California, Santa Barbara, CA 93106, USA
Titel: On nonlinear dispersive equations
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1991 MSC: 35K
Author: Safonov, Mikhail, University of Minnesota, USA
Titel: Estimates near the boundary for solutions of second order parabolic equations
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1991 MSC: 35-R30
Author: Uhlmann, Gunther, University of Washington, Seattle, USA
Titel: Inverse Boundary Value Problems for Partial Differential Equations
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1991 MSC:
Author: D. R. Yafaev, IRMAR, Université Rennes-1, France.
Titel: Scattering theory: some old and new problems
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Section 11. Mathematical Physics

1991 MSC: 81T30
Author: Paul S. Aspinwall, Duke University, Durham, USA
Titel: Geometry and String Duality
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1991 MSC:
Author: Bogomolny, E. B., CNRS-URA 62, Institut de Physique Nucléaire, Orsay, France
Titel: Spectral Statistics
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1991 MSC: 46, 47, 81, 83
Author: Buchholz, Detlev, Universität Göttingen, Germany
Titel: Scaling algebras in local relativistic quantum physics
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1991 MSC: 82B43, 82B26, 60K35, 05C80
Author: Chayes, Jennifer T., Microsoft Research, Redmond, USA
Titel: Birth of the Infinite Cluster: Finite-Size Scaling in Percolation
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1991 MSC: 35, 58, 76
Author: Collet, Pierre, CNRS, Ecole Polytechnique, Palaiseau, France
Titel: Extended Dynamical Systems
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1991 MSC: 81T30
Author: Dijkgraaf, Robbert, University of Amsterdam, The Netherlands
Titel: The Mathematics of Fivebranes
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1991 MSC: 58F10 - 58F30 - 58F36 - 70F15 - 70K20 - 34D10 - 34E15
Author: Giorgilli, Antonio, UniversitÀ di Milano, Italy
Titel: On the problem of stability for near to integrable Hamiltonian systems
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1991 MSC: 81-02
Author: Graf, Gian Michele, ETH Zürich, Switzerland
Titel: Stability of matter in classical and quantized fields
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1991 MSC: 82B23
Author: McCoy, Barry, State University of New York, Stony Brook, NY, USA
Titel: Rogers-Ramanujan identities: A Century of progress from mathematics to physics
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1991 MSC: 60K35, 82B27
Author: Schonmann, Roberto, University of California at Los Angeles, USA
Titel: Metastability and the Ising model
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1991 MSC: 81T40
Author: Smirnov, Fedor A., CNRS, LPTHE, Université Pierre et Marie Curie, Paris, France
Titel: Space of local fields in integrable field theory and deformed Abelian integrals
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1991 MSC:
Author: Yau, Horng-Tzer, Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA
Titel: Scaling Limit of Particle Systems, Incompressible Navier-Stokes Equation and Boltzmann Equation
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Section 12. Probability and Statistics

1991 MSC: 60J25, 60K35
Author: Aldous, David, University of California at Berkeley, USA
Titel: Stochastic Coalescence
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1991 MSC: 49L99 60H30 62B10 90A09
Author: Avellaneda, Marco, Courant Institute, New York University, USA
Titel: Inverse Problems in Quantitative Financial Modeling
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1991 MSC: 60K25
Author: Bramson, Maury, University of Minnesota, USA
Titel: State Space Collapse for Queueing Networks
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1991 MSC:
Author: Mark Freidlin, University of Maryland, College Park, USA
Titel: Random and Deterministic Perturbations of Nonlinear Oscillators
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1991 MSC:
Author: Ghosh, J. K., Indian Statistical Institute, India, and Purdue University, USA
Titel: Bayesian Density Estimation
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1991 MSC: 62E20, 11P21, 60F05
Author: Götze, Friedrich, Universität Bielefeld, Germany
Titel: Lattice Point Problems and the Central Limit Theorem in Euclidean Spaces
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1991 MSC: Primary 62G09, Secondary 62G05
Author: Hall, Peter, Australian National University, Canberra, Australia
Titel: Applications of Intentionally Biased Bootstrap Methods
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1991 MSC: 62G07,62G20,62C20
Author: Johnstone, Iain, Stanford University, USA
Titel: Oracle Inequalities and Nonparametric Function Estimation
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1991 MSC: 60
Author: Le Gall, Jean-Fran cois, Ecole Normale Supérieure, France
Titel: Branching processes, random trees and superprocesses
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1991 MSC: 60J27
Author: Siegmund, David, Stanford University, USA
Titel: Genetic linkage analysis: an irregular statistical problem
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1991 MSC: 60K40,82D30
Author: Sznitman, Alain-Sol, ETH Zurich, Switzerland
Titel: Brownian motion and random obstacles
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1991 MSC: primary 60G07; secondary 60H10, 60J65.
Author: Tsirelson Boris, Tel Aviv University, Israel
Titel: Within and beyond the reach of Brownian innovation
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1991 MSC: 60
Author: Williams, Ruth, University of California at San Diego, USA
Titel: Reflecting Diffusions and Queueing Networks
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Section 13. Combinatorics

1991 MSC: 05C
Author: Bollobás, Béla, University of Memphis, USA, and University of Cambridge, England
Titel: Hereditary properties of graphs: asymptotic enumeration, global structure, and colouring
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1991 MSC: 90C27, 05C40
Author: Frank, András, Eötvös Loránd University and Ericsson Traffic Laboratory, Budapest, Hungary
Titel: Applications of Relaxed Submodularity
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1991 MSC: 05 E 15
Author: Lascoux, Alain, CNRS, Université de Marne La Vallée, France
Titel: Ordering the symmetric group: Why use Iwahori-Hecke algebras?
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1991 MSC: 52C99, 52C10, 68U05, 68R99
Author: Matou {s}ek, Ji {r}\'{ }, Charles University, Prague, Czech Republic
Titel: Mathematical snapshots from the computational geometry landscape
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1991 MSC: 05, 11, 14, 94
Author: Niederreiter, Harald, Austrian Academy of Sciences, Austria
Titel: Nets, $(t, s)$-sequences, and algebraic curves over finite fields with many rational points
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1991 MSC: 52C17
Author: Sloane, N. J. A., AT&T Labs-Research, Florham Park, USA
Titel: Recent developments on the sphere-packing problem.
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1991 MSC: 51E20,51E21,51E22,51A45,51A50,51B10
Author: Thas, Joseph, University of Ghent, Belgium
Titel: Finite Geometries, Varieties and Codes
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1991 MSC: 5, 14, 20
Author: Zelevinsky, Andrei, Northeastern University, Boston, USA
Titel: Multisegment duality, canonical bases and total positivity
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Section 14. Mathematical Aspects of Computer Science

1991 MSC: 68-Q15
Author: Ajtai, Mikl\'os, IBM Almaden Research Center, USA
Titel: Worst-case Complexity, Average-case Complexity and Lattice Problems
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1991 MSC:
Author: Feigenbaum, Joan, AT&T Labs -- Research, Florham Park, NJ 07932-0971 USA
Titel: Games, Complexity Classes, and Approximation Algorithms
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1991 MSC: 68Q25,68Q99
Author: H stad, Johan, Royal Institute of Technology, Sweden
Titel: On approximating NP-hard optimization problems
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1991 MSC: 03F, 68Q, 68R05, 20C30, 14Q99
Author: Pitassi, Toniann, University of Arizona, USA
Titel: Combinatorial and algebraic techniques in proof complexity
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1991 MSC: 68Q10, 68Q15
Author: Sudan, Madhu, Massachusetts Institute of Technology, USA
Titel: Probabilistic checking of proofs
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1991 MSC: 52C10, 52B05, 52B55, 68R05, 68Q25, 68U05
Author: Welzl, Emo, ETH Zürich, Switzerland
Titel: Halving Point Sets
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Section 15. Numerical Analysis and Scientific Computing

1991 MSC: 65, 15, 35
Author: Beylkin, Gregory, University of Colorado at Boulder, USA
Titel: On multiresolution methods in numerical analysis
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1991 MSC: 42C05
Author: Deift, Percy, Courant Institute, USA
Titel: Uniform asymptotics for orthogonal polynomials
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1991 MSC:
Author: Bjorn Erik Engquist, Department of Mathematics UCLA, Los Angeles, USA
Titel: Wavelet Based Numerical Homogenization
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1991 MSC: Primary 76D30; Secondary 76C05, 35Q30, 35Q35.
Author: Okamoto, Hisashi, Research Inst. for Math. Sci., Kyoto University, Japan
Titel: Bifurcation of Kolmogorov flows with an emphasis on singular limit
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1991 MSC: 41
Author: Jan-Olov Strömberg, Royal Institute of Technology, Stockholm, Sweden
Titel: Apriori estimates for approximation by wavelets in higher dimensions.
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1991 MSC: 30C30, 31A05
Author: Lloyd N. Trefethen, Oxford University, UK, and Tobin A. Driscoll, University of Colorado, USA
Titel: Schwarz--Christoffel Mapping in the Computer Era
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Section 16. Applications

1991 MSC:
Author: Avellaneda, Marco, Courant Institute, New York University, USA
Titel: Inverse Problems in Quantitative Financial Modeling
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1991 MSC: 62P99
Author: Grenander, Ulf, Brown University, USA
Titel: Strategies for Seeing
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1991 MSC: 58F39, 58F14, 76B15, 34A47, 76B25,
Author: Iooss, Gérard, Institut Universitaire de France, Valbonne, France
Titel: Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional ``dynamical'' systems
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1991 MSC: Mathematical Biology
Author: Berger, Bonnie, Massachusetts Institute of Technology, USA
Titel: Sequence-based Methods for Protein Folding
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1991 MSC: 90C10 90C27
Author: Cook, William, Rice University, USA
Titel: The Traveling Salesman Problem
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1991 MSC: 92, 05, 51
Author: Andreas Dress, Werner Terhalle, Universität Bielefeld, Germany
Titel: The Tree of Life and Other Affine Buildings
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1991 MSC:
Author: Hoppensteadt, Frank C., Arizona State University, Tempe AZ 85287-7606, USA
Titel: Canonical Models in Mathematical Neuroscience
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1991 MSC: 92C05
Author: Peskin, Charles S., Courant Institute of Mathematical Sciences, New York University, USA
Titel: How to Catch and Transport a Chromosome
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1991 MSC: 65R10 , 44A35, 35K05
Author: Greengard, Leslie, Courant Institute, New York University, USA
Titel: A new version of the fast Gauss transform
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1991 MSC: 65M12, 76B15
Author: Hou, Thomas Yizhao, California Institute of Technology, USA
Titel: Numerical Study of Free Interface Problems Using Boundary Integral Methods
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1991 MSC: 73K20, 73B27, 73S10
Author: Milton, Graeme, The University of Utah, USA
Titel: Exact relations for composites: towards a complete solution
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1991 MSC:
Author: Rannacher, Rolf, Inst. für Angewandte Mathematik, Universität Heidelberg, Germany
Titel: Mathematics in Numerical Flow Simulation
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Section 17. Control Theory and Optimization

1991 MSC: 90C10 90C27
Author: Cook, William, Rice University, USA
Titel: The Traveling Salesman Problem
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1991 MSC: 90, 05, 68
Author: Goemans, Michel, Université catholique de Louvain, Belgium, and Massachusetts Institute of Technology, USA
Titel: Semidefinite programming and combinatorial optimization
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1991 MSC: 65K05 90C30
Author: Nocedal, Jorge, Northwestern University, Evanston, USA
Titel: Nonlinear Optimization: The Interplay Between Mathematical Characterizations and Algorithms
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1991 MSC: 65Y20
Author: Pulleyblank, William R., T. J. Watson Res. Center, IBM, New York, USA
Titel: Advances in Solving Airline Crew Pairing Optimization Problems
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1991 MSC: 05C85, 05C90, 90B06, 90B10, 90B35
Author: Schrijver, Alexander, CWI, Amsterdam, and University of Amsterdam, The Netherlands
Titel: Routing and timetabling by topological search
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1991 MSC: 93B05, 93B07, 93B36, 93B51, 93C05, 93C15
Author: Willems, Jan C., University of Groningen, The Netherlands
Titel: Open Dynamical Systems and their Control
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1991 MSC:
Author: Zowe, Jochem, Institut für Angewandte Mathematik, Universität Erlangen, Germany
Titel: What is the Best Material? --- The Answer of a Mathematician
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Section 18. Teaching and Popularization of Mathematics

1991 MSC: 97A15 - 98A15
Author: Bartolini Bussi, Maria G., University of Modena, Italy
Titel: Drawing instruments: the theory of a practice from history to didactics
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1991 MSC: 00-XX General
Author: Niss, Mogens, Roskilde University, Denmark
Titel: Aspects of the nature and the state of research in mathematical education
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1991 MSC:
Author: Stigler, Jim, UCLA Psychology Department, Los Angeles, USA
Titel: Classroom Mathematics Instruction in Three Cultures: An Introduction to the TIMSS Video Study
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1991 MSC:
Author: Lewis, Donald J, National Science Foundation, USA - Andrews, George E., Pennsylvania State University, USA - Smith, David A., Duke University, USA
Titel: Collegiate Mathematics Instruction for the 21st Century - -- A Panel Discussion
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1991 MSC: 01-02
Author: Artigue, Michèle, IUFM de Reims et Université Paris 7, France
Titel: De la compréhension des processus d'apprentissage À la conception de processus d'enseignement
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1991 MSC: 01 - 02
Author: Steiner, Hans-Georg, Institute for Didactics of Mathematics (IDM), University of Bielefeld, Germany
Titel: Response to Michèle Artigue's lecture titled ``From the Understanding of Learning Processes to the Design of Teaching Processes''
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1991 MSC: 0
Author: de Guzmán, Miguel, Universidad Complutense de Madrid, Spain; Hodgson, Bernard R., Université Laval, Québec, Canada; Robert, Aline, IUFM de Versailles, France; Villani, Vinicio, UniversitÀ di Pisa, Italy
Titel: Difficulties in the Passage from Secondary to Tertiary Education
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Section 19. History of Mathematics

1991 MSC:
Author: Karine Chemla, CNRS and Universite Paris VII, research group REHSEIS, France
Titel: History of Mathematics in China: A factor in World History and a Source for New Questions
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1991 MSC:
Author: Dauben, Joseph W., Department of History, Herbert H. Lehman College, CUNY, and Ph. D. Program in History, The Graduate Center, City University of New York
Titel: Marx, Mao and Mathematics: the Story of Nonstandard Analysis in China and the Cultural Revolution
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1991 MSC: 1, 14, 30
Author: Jeremy Gray, Open University, Milton Keynes MK7 6AA
Titel: The Riemann-Roch Theorem and Geometry, 1854-1914
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Ulf Rehmann, Editor of Proceedings and Abstracts ICM 1998
Fakultät für Mathematik
Universität Bielefeld, Postfach 100131,
D-33501 Bielefeld, Germany