Proceedings of the International Congress of Mathematicians 1998
Volume I
Editors
Ulf Rehmann
Universität Bielefeld, GermanyGerd Fischer
Heinrich-Heine-Universität Düsseldorf, Germany
The Proceedings of the International Congress of Mathematicians 1998, held in Berlin, are published – electronically and in print – in three volumes. Volume I contains information on the organization of the Congress including the list of participants, reports on the opening and closing ceremonies, the Laudationes on the Fields Medalists and the Nevanlinna Prize Winner, and the Plenary Lectures. Volumes II and III contain the Invited Lectures.
pp. i–ii Front Matterpp. 1–10 Contentsp. 11 Prefacep. 12 Past Congressespp. 13–14 Past Fields Medalists and Past Rolf Nevanlinna Prize Winnerspp. 15–18 Organization of the CongressMartin Grötschel
pp. 19–20 The Committees of the Congresspp. 21–22 List of Donorspp. 23–44 Opening Ceremonypp. 45–48 Presentation of the Fields Medals and a Special TributeYuri I. Manin
pp. 49–52 Presentation of the Rolf Nevanlinna PrizeDavid Mumford
pp. 53–60 Closing Ceremonypp. 61–95 List of Participantsp. 96 Participants by Countrypp. 99–108 The Work of Richard Ewen BorcherdsPeter Goddard
DOI 10.4171/DMS/1-1/28pp. 109–118 The Work of William Timothy GowersBéla Bollobás
DOI 10.4171/DMS/1-1/29pp. 119–126 The Work of Maxim KontsevichClifford Henry Taubes
DOI 10.4171/DMS/1-1/30pp. 127–132 The Work of Curtis T. McMullenSteve Smale
DOI 10.4171/DMS/1-1/31pp. 133–140 The Work of Peter W. ShorRonald Graham
DOI 10.4171/DMS/1-1/32pp. 143–162 Local index theory and higher analytic torsionJean-Michel Bismut
DOI 10.4171/DMS/1-1/1pp. 163–186 Some analogies between number theory and dynamical systems on foliated spacesChristopher Deninger
DOI 10.4171/DMS/1-1/2pp. 187–204 From shuffling cards to walking around the building: An introduction to modern Markov chain theoryPersi Diaconis
DOI 10.4171/DMS/1-1/3pp. 205–233 Chaotic hypothesis and universal large deviations propertiesGiovanni Gallavotti
DOI 10.4171/DMS/1-1/4pp. 235–254 From classical numerical mathematics to scientific computingWolfgang Hackbusch
DOI 10.4171/DMS/1-1/5pp. 255–280 Dynamics, topology and holomorphic curvesHelmut H.W. Hofer
DOI 10.4171/DMS/1-1/6pp. 281–302 Geometrical model theoryEhud Hrushovski
DOI 10.4171/DMS/1-1/7pp. 303–317 Constant term identities, orthogonal polynomials and affine Hecke algebrasIan G. Macdonald
DOI 10.4171/DMS/1-1/8pp. 319–338 Applied mathematics meets signal processing.Stéphane Mallat
DOI 10.4171/DMS/1-1/9pp. 339–357 Fibrations in symplectic topologyDusa McDuff
DOI 10.4171/DMS/1-1/10pp. 359–379 Solvable lattice model and representation theory of quantum affine algebrasTetsuji Miwa
DOI 10.4171/DMS/1-1/11pp. 381–402 Dynamical systems – past and presentJürgen Moser
DOI 10.4171/DMS/1-1/12pp. 403–427 Mathematical problems in geophysical wave propagation.George Papanicolaou
DOI 10.4171/DMS/1-1/13pp. 429–452 Operator spaces and similarity problemsGilles Pisier
DOI 10.4171/DMS/1-1/14pp. 453–465 -functionsPeter Sarnak
DOI 10.4171/DMS/1-1/15pp. 467–486 Quantum computingPeter W. Shor
DOI 10.4171/DMS/1-1/16pp. 487–506 The population dynamics of conflict and cooperationKarl Sigmund
DOI 10.4171/DMS/1-1/17pp. 507–536 Huge random structures and mean field models for spin glassesMichel Talagrand
DOI 10.4171/DMS/1-1/18pp. 537–556 Geometric physicsCumrun Vafa
DOI 10.4171/DMS/1-1/19pp. 557–578 Dynamics: a probabilistic and geometric perspectiveMarcelo Viana
DOI 10.4171/DMS/1-1/20pp. 579–604 -homotopy theoryVladimir Voevodsky
DOI 10.4171/DMS/1-1/21pp. 607–616 What is moonshineRichard E. Borcherds
DOI 10.4171/DMS/1-1/22pp. 617–629 Fourier analysis and Szemerédi's theoremW.T. Gowers
DOI 10.4171/DMS/1-1/23pp. 633–636 O-minimalityA.J. Wilkie
DOI 10.4171/DMS/1-1/24pp. 637–647 Estimates near the boundary for solutions of second order parabolic equationsMikhail Safonov
DOI 10.4171/DMS/1-1/25p. 648 Errata to: “Lattice point problems and the central limit theorem in Euclidean spaces”F. Götze
DOI 10.4171/DMS/1-1/26pp. 649–658 Recent developments in computational gene recognitionSerafim BatzoglouBonnie BergerDaniel J. KleitmanEric LanderLior Pachter
DOI 10.4171/DMS/1-1/27