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
DOI 10.4171/DMS/1-2/1pp. 23–32 When is an equivalance relation classifiableGreg Hjorth
DOI 10.4171/DMS/1-2/2pp. 33–42 Meager forking and -independenceLudomir Newelski
DOI 10.4171/DMS/1-2/3pp. 43–52 Basis problems in combinatorial set theoryStevo Todorcevic
DOI 10.4171/DMS/1-2/4pp. 55–65 Geometry of infinitesimal group schemesEric M. Friedlander
DOI 10.4171/DMS/1-2/5pp. 67–75 On the Burnside problem for groups of even exponentSergei V. Ivanov
DOI 10.4171/DMS/1-2/6pp. 77–86 Simple groups in computational group theoryWilliam M. Kantor
DOI 10.4171/DMS/1-2/7pp. 87–96 SpetsesGunter Malle
DOI 10.4171/DMS/1-2/8pp. 97–107 Birational automorphisms of higher-dimensional algebraic varietiesAleksandr V. Pukhlikov
DOI 10.4171/DMS/1-2/9pp. 109–120 Tilting theory and quasitilted algebrasIdun Reiten
DOI 10.4171/DMS/1-2/10pp. 121–128 The Abelian defect group conjectureJeremy Rickard
DOI 10.4171/DMS/1-2/11pp. 129–137 Simple groups, permutation groups, and probabilityAner Shalev
DOI 10.4171/DMS/1-2/12pp. 141–151 -adic analytic spacesVladimir G. Berkovich
DOI 10.4171/DMS/1-2/13pp. 153–162 -adic representations of a local fieldPierre Colmez
DOI 10.4171/DMS/1-2/14pp. 163–172 Bounds for arithmetic multiplicitiesW. Duke
DOI 10.4171/DMS/1-2/15pp. 173–182 Some results on algebraic independenceFrançois Gramain
DOI 10.4171/DMS/1-2/16pp. 183–186 Rational points and Dirichlet seriesLoïc Merel
DOI 10.4171/DMS/1-2/17pp. 187–196 The intrinsic Hodge theory of -adic hyperbolic curves.Shinichi Mochizuki
DOI 10.4171/DMS/1-2/18pp. 197–205 The subspace theorem and applicationsHans Peter Schlickewei
DOI 10.4171/DMS/1-2/19pp. 207–216 -adic Hodge theory in the semi-stable reduction caseTakeshi Tsuji
DOI 10.4171/DMS/1-2/20pp. 217–225 Small points and Arakelov theoryShou-Wu Zhang
DOI 10.4171/DMS/1-2/21pp. 229–238 String theory and dualityPaul S. Aspinwall
DOI 10.4171/DMS/1-2/22pp. 239–248 Mirror symmetry and toric geometryVictor V. Batyrev
DOI 10.4171/DMS/1-2/23pp. 249–257 Cohomology of moduli spaces of stable curvesMaurizio Cornalba
DOI 10.4171/DMS/1-2/24pp. 259–265 Barsotti-Tate groups and crystalsA.J. de Jong
DOI 10.4171/DMS/1-2/25pp. 267–276 Higher Abel-Jacobi mapsMark L. Green
DOI 10.4171/DMS/1-2/26pp. 277–286 Operads and algebraic geometryM. Kapranov
DOI 10.4171/DMS/1-2/27pp. 289–298 Hard balls gas and Alexandrov spaces of curvature bounded aboveDmitri Burago
DOI 10.4171/DMS/1-2/28pp. 299–308 Spaces with Ricci curvature boundsTobias H. Colding
DOI 10.4171/DMS/1-2/29pp. 309–314 Lefschetz fibrations in symplectic geometryS.K. Donaldson
DOI 10.4171/DMS/1-2/30pp. 315–326 Geometry and analytic theory of Frobenius manifoldsBoris Dubrovin
DOI 10.4171/DMS/1-2/31pp. 327–338 Invariants in contact topologyYakov Eliashberg
DOI 10.4171/DMS/1-2/32pp. 339–348 Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. CourtoisS. Gallot
DOI 10.4171/DMS/1-2/33pp. 349–360 Evolution of hypersurfaces by their curvature in Riemannian manifoldsGerhard Huisken
DOI 10.4171/DMS/1-2/34pp. 361–370 Compact manifolds with exceptional holonomyDominic Joyce
DOI 10.4171/DMS/1-2/35pp. 371–380 Large group actions on manifoldsFrançois Labourie
DOI 10.4171/DMS/1-2/36pp. 381–388 Curvature contents of geometric spacesJoachim Lohkamp
DOI 10.4171/DMS/1-2/37pp. 389–400 Quaternionic analysis on Riemann surfaces and differential geometryFranz PeditUlrich Pinkall
DOI 10.4171/DMS/1-2/38pp. 401–410 Geometry on the group of Hamiltonian diffeomorphismsLeonid Polterovich
DOI 10.4171/DMS/1-2/39pp. 411–420 Quantum cohomology and its applicationYongbin Ruan
DOI 10.4171/DMS/1-2/40pp. 423–432 Dimension theory and large Riemannian manifoldsA.N. Dranishnikov
DOI 10.4171/DMS/1-2/41pp. 433–442 Lie groups and -compact groupsW.G. Dwyer
DOI 10.4171/DMS/1-2/42pp. 443–452 Constructions of smooth 4-manifoldsRonald FintushelRonald J. Stern
DOI 10.4171/DMS/1-2/43pp. 453–464 Topological views on computational complexityMichael H. Freedman
DOI 10.4171/DMS/1-2/44pp. 465–472 Toward a global understanding ofMark Mahowald
DOI 10.4171/DMS/1-2/45pp. 473–482 A filtration of the set of integral homological 3-spheresTomotada Ohtsuki
DOI 10.4171/DMS/1-2/46pp. 483–492 Vector bundles over classifying spacesBob Oliver
DOI 10.4171/DMS/1-2/47pp. 493–504 DOI 10.4171/DMS/1-2/48The geometry of the Seiberg-Witten invariantspp. 507–517 Towards a stable trace formulaJames Arthur
DOI 10.4171/DMS/1-2/49pp. 519–525 Analytic structures on representation spaces of reductive groupsJoseph Bernstein
DOI 10.4171/DMS/1-2/50pp. 527–537 From double Hecke algebra to analysisIvan Cherednik
DOI 10.4171/DMS/1-2/51pp. 539–552 Counting problems and semisimple groupsAlex Eskin
DOI 10.4171/DMS/1-2/52pp. 553–562 Harmonic analysis on semisimple -adic Lie algebrasRobert E. Kottwitz
DOI 10.4171/DMS/1-2/53pp. 563–570 Drinfeld shtukas and applicationsL. Lafforgue
DOI 10.4171/DMS/1-2/54pp. 571–582 Products of trees, lattices and simple groupsShahar Mozes
DOI 10.4171/DMS/1-2/55pp. 583–593 Characters of irreducible representations of simple Lie superalgebrasVera Serganova
DOI 10.4171/DMS/1-2/56pp. 595–604 Topological methods in representation theoryKari Vilonen
DOI 10.4171/DMS/1-2/57pp. 605–614 Representation theory of affine superalgebras at the critical levelMinoru Wakimoto
DOI 10.4171/DMS/1-2/58pp. 617–626 Analytic aspects of quasiconformalityKari Astala
DOI 10.4171/DMS/1-2/59pp. 627–636 Singularity and regularity -- local and globalMichael Christ
DOI 10.4171/DMS/1-2/60pp. 637–646 The Baum-Connes conjectureNigel Higson
DOI 10.4171/DMS/1-2/61pp. 647–656 On the bilinear Hilbert transformMichael T. Lacey
DOI 10.4171/DMS/1-2/62pp. 657–664 Rectifiability, analytic capacity, and singular integralsPertti Mattila
DOI 10.4171/DMS/1-2/63pp. 665–677 Randomness and pattern in convex geometric analysisVitali Milman
DOI 10.4171/DMS/1-2/64pp. 679–689 Functional calculus of Lie groups and wave propagationDetlef Müller
DOI 10.4171/DMS/1-2/65pp. 691–702 Unexpected solutions of first and second order partial differential equationsStefan MüllerVladimir Šverák
DOI 10.4171/DMS/1-2/66pp. 703–712 Reflection principle in higher dimensionsKlas DiederichSergey Pinchuk
DOI 10.4171/DMS/1-2/67pp. 713–722 Developments from nonharmonic Fourier seriesKristian Seip
DOI 10.4171/DMS/1-2/68pp. 723–730 Wave equations with low regularity coefficientsHart F. Smith
DOI 10.4171/DMS/1-2/69pp. 731–742 From finite- to infinite-dimensional phenomena in geometric functional analysis on local and asymptotic levelsNicole Tomczak-Jaegermann
DOI 10.4171/DMS/1-2/70pp. 743–753 Discrete analogues of singular and maximal Radon transformsStephen Wainger
DOI 10.4171/DMS/1-2/71pp. 755–761 Maximal averages and packing of one dimensional setsThomas Wolff
DOI 10.4171/DMS/1-2/72pp. 765–778 Rigidity and renormalization in one dimensional dynamical systemsW. de Melo
DOI 10.4171/DMS/1-2/73pp. 779–787 Reducibility and point spectrum for linear quasi-periodic skew-productsL.H. Eliasson
DOI 10.4171/DMS/1-2/74pp. 789–796 Hyperbolicity, stability, and the criterion of homoclinic pointsShuhei Hayashi
DOI 10.4171/DMS/1-2/75pp. 797–808 Some open problems in dynamical systemsMichael Herman
DOI 10.4171/DMS/1-2/76pp. 809–818 Random dynamics and its applicationsYuri Kifer
DOI 10.4171/DMS/1-2/77pp. 819–829 Elements of a qualitative theory of Hamiltonian PDEsSergei B. Kuksin
DOI 10.4171/DMS/1-2/78pp. 831–840 Counterexamples to the Seifert conjectureKrystyna Kuperberg
DOI 10.4171/DMS/1-2/79pp. 841–855 Rigidity and inflexibility in conformal dynamicsCurtis T. McMullen
DOI 10.4171/DMS/1-2/80pp. 857–866 Induced hyperbolicity for one-dimensional mapsGrzegorz Świątek
DOI 10.4171/DMS/1-2/81pp. 867–877 Arnold diffusion: a variational constructionZhihong Xia
DOI 10.4171/DMS/1-2/82