Proceedings of the International Congress of Mathematicians 1998
Volume II. Invited Lectures
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. 11–21 Generic large cardinals: New axioms for mathematics?Matthew Foreman
pp. 23–32 When is an equivalance relation classifiableGreg Hjorth
pp. 33–42 Meager forking and -independenceLudomir Newelski
pp. 43–52 Basis problems in combinatorial set theoryStevo Todorcevic
pp. 55–65 Geometry of infinitesimal group schemesEric M. Friedlander
pp. 67–75 On the Burnside problem for groups of even exponentSergei V. Ivanov
pp. 77–86 Simple groups in computational group theoryWilliam M. Kantor
pp. 87–96 SpetsesGunter Malle
pp. 97–107 Birational automorphisms of higher-dimensional algebraic varietiesAleksandr V. Pukhlikov
pp. 109–120 Tilting theory and quasitilted algebrasIdun Reiten
pp. 121–128 The Abelian defect group conjectureJeremy Rickard
pp. 129–137 Simple groups, permutation groups, and probabilityAner Shalev
pp. 141–151 -adic analytic spacesVladimir G. Berkovich
pp. 153–162 -adic representations of a local fieldPierre Colmez
pp. 163–172 Bounds for arithmetic multiplicitiesW. Duke
pp. 173–182 Some results on algebraic independenceFrançois Gramain
pp. 183–186 Rational points and Dirichlet seriesLoïc Merel
pp. 187–196 The intrinsic Hodge theory of -adic hyperbolic curves.Shinichi Mochizuki
pp. 197–205 The subspace theorem and applicationsHans Peter Schlickewei
pp. 207–216 -adic Hodge theory in the semi-stable reduction caseTakeshi Tsuji
pp. 217–225 Small points and Arakelov theoryShou-Wu Zhang
pp. 229–238 String theory and dualityPaul S. Aspinwall
pp. 239–248 Mirror symmetry and toric geometryVictor V. Batyrev
pp. 249–257 Cohomology of moduli spaces of stable curvesMaurizio Cornalba
pp. 259–265 Barsotti-Tate groups and crystalsA.J. de Jong
pp. 267–276 Higher Abel-Jacobi mapsMark L. Green
pp. 277–286 Operads and algebraic geometryM. Kapranov
pp. 289–298 Hard balls gas and Alexandrov spaces of curvature bounded aboveDmitri Burago
pp. 299–308 Spaces with Ricci curvature boundsTobias H. Colding
pp. 309–314 Lefschetz fibrations in symplectic geometryS.K. Donaldson
pp. 315–326 Geometry and analytic theory of Frobenius manifoldsBoris Dubrovin
pp. 327–338 Invariants in contact topologyYakov Eliashberg
pp. 339–348 Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. CourtoisS. Gallot
pp. 349–360 Evolution of hypersurfaces by their curvature in Riemannian manifoldsGerhard Huisken
pp. 361–370 Compact manifolds with exceptional holonomyDominic Joyce
pp. 371–380 Large group actions on manifoldsFrançois Labourie
pp. 381–388 Curvature contents of geometric spacesJoachim Lohkamp
pp. 389–400 Quaternionic analysis on Riemann surfaces and differential geometryFranz PeditUlrich Pinkall
pp. 401–410 Geometry on the group of Hamiltonian diffeomorphismsLeonid Polterovich
pp. 411–420 Quantum cohomology and its applicationYongbin Ruan
pp. 423–432 Dimension theory and large Riemannian manifoldsA.N. Dranishnikov
pp. 433–442 Lie groups and -compact groupsW.G. Dwyer
pp. 443–452 Constructions of smooth 4-manifoldsRonald FintushelRonald J. Stern
pp. 453–464 Topological views on computational complexityMichael H. Freedman
pp. 465–472 Toward a global understanding ofMark Mahowald
pp. 473–482 A filtration of the set of integral homological 3-spheresTomotada Ohtsuki
pp. 483–492 Vector bundles over classifying spacesBob Oliver
pp. 493–504 The geometry of the Seiberg-Witten invariantspp. 507–517 Towards a stable trace formulaJames Arthur
pp. 519–525 Analytic structures on representation spaces of reductive groupsJoseph Bernstein
pp. 527–537 From double Hecke algebra to analysisIvan Cherednik
pp. 539–552 Counting problems and semisimple groupsAlex Eskin
pp. 553–562 Harmonic analysis on semisimple -adic Lie algebrasRobert E. Kottwitz
pp. 563–570 Drinfeld shtukas and applicationsL. Lafforgue
pp. 571–582 Products of trees, lattices and simple groupsShahar Mozes
pp. 583–593 Characters of irreducible representations of simple Lie superalgebrasVera Serganova
pp. 595–604 Topological methods in representation theoryKari Vilonen
pp. 605–614 Representation theory of affine superalgebras at the critical levelMinoru Wakimoto
pp. 617–626 Analytic aspects of quasiconformalityKari Astala
pp. 627–636 Singularity and regularity -- local and globalMichael Christ
pp. 637–646 The Baum-Connes conjectureNigel Higson
pp. 647–656 On the bilinear Hilbert transformMichael T. Lacey
pp. 657–664 Rectifiability, analytic capacity, and singular integralsPertti Mattila
pp. 665–677 Randomness and pattern in convex geometric analysisVitali Milman
pp. 679–689 Functional calculus of Lie groups and wave propagationDetlef Müller
pp. 691–702 Unexpected solutions of first and second order partial differential equationsStefan MüllerVladimir Šverák
pp. 703–712 Reflection principle in higher dimensionsKlas DiederichSergey Pinchuk
pp. 713–722 Developments from nonharmonic Fourier seriesKristian Seip
pp. 723–730 Wave equations with low regularity coefficientsHart F. Smith
pp. 731–742 From finite- to infinite-dimensional phenomena in geometric functional analysis on local and asymptotic levelsNicole Tomczak-Jaegermann
pp. 743–753 Discrete analogues of singular and maximal Radon transformsStephen Wainger
pp. 755–761 Maximal averages and packing of one dimensional setsThomas Wolff
pp. 765–778 Rigidity and renormalization in one dimensional dynamical systemsW. de Melo
pp. 779–787 Reducibility and point spectrum for linear quasi-periodic skew-productsL.H. Eliasson
pp. 789–796 Hyperbolicity, stability, and the criterion of homoclinic pointsShuhei Hayashi
pp. 797–808 Some open problems in dynamical systemsMichael Herman
pp. 809–818 Random dynamics and its applicationsYuri Kifer
pp. 819–829 Elements of a qualitative theory of Hamiltonian PDEsSergei B. Kuksin
pp. 831–840 Counterexamples to the Seifert conjectureKrystyna Kuperberg
pp. 841–855 Rigidity and inflexibility in conformal dynamicsCurtis T. McMullen
pp. 857–866 Induced hyperbolicity for one-dimensional mapsGrzegorz Świątek
pp. 867–877 Arnold diffusion: a variational constructionZhihong Xia