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
pp. 109–118 The Work of William Timothy GowersBéla Bollobás
pp. 119–126 The Work of Maxim KontsevichClifford Henry Taubes
pp. 127–132 The Work of Curtis T. McMullenSteve Smale
pp. 133–140 The Work of Peter W. ShorRonald Graham
pp. 143–162 Local index theory and higher analytic torsionJean-Michel Bismut
pp. 163–186 Some analogies between number theory and dynamical systems on foliated spacesChristopher Deninger
pp. 187–204 From shuffling cards to walking around the building: An introduction to modern Markov chain theoryPersi Diaconis
pp. 205–233 Chaotic hypothesis and universal large deviations propertiesGiovanni Gallavotti
pp. 235–254 From classical numerical mathematics to scientific computingWolfgang Hackbusch
pp. 255–280 Dynamics, topology and holomorphic curvesHelmut H.W. Hofer
pp. 281–302 Geometrical model theoryEhud Hrushovski
pp. 303–317 Constant term identities, orthogonal polynomials and affine Hecke algebrasIan G. Macdonald
pp. 319–338 Applied mathematics meets signal processing.Stéphane Mallat
pp. 339–357 Fibrations in symplectic topologyDusa McDuff
pp. 359–379 Solvable lattice model and representation theory of quantum affine algebrasTetsuji Miwa
pp. 381–402 Dynamical systems – past and presentJürgen Moser
pp. 403–427 Mathematical problems in geophysical wave propagation.George Papanicolaou
pp. 429–452 Operator spaces and similarity problemsGilles Pisier
pp. 453–465 -functionsPeter Sarnak
pp. 467–486 Quantum computingPeter W. Shor
pp. 487–506 The population dynamics of conflict and cooperationKarl Sigmund
pp. 507–536 Huge random structures and mean field models for spin glassesMichel Talagrand
pp. 537–556 Geometric physicsCumrun Vafa
pp. 557–578 Dynamics: a probabilistic and geometric perspectiveMarcelo Viana
pp. 579–604 -homotopy theoryVladimir Voevodsky
pp. 607–616 What is moonshineRichard E. Borcherds
pp. 617–629 Fourier analysis and Szemerédi's theoremW.T. Gowers
pp. 633–636 O-minimalityA.J. Wilkie
pp. 637–647 Estimates near the boundary for solutions of second order parabolic equationsMikhail Safonov
p. 648 Errata to: “Lattice point problems and the central limit theorem in Euclidean spaces”F. Götze
pp. 649–658 Recent developments in computational gene recognitionSerafim BatzoglouBonnie BergerDaniel J. KleitmanEric LanderLior Pachter