BooksStandalone TitlesCollected VolumeEuropean Congress of MathematicsStockholm, June 27 – July 2, 2004EditorsAri LaptevRoyal Institute of Technology, Stockholm, SwedenOverviewContentsBuy from $139.00Download PDFA subscription is required to access this book.pp. 3–22Structure of Null Sets in the Plane and ApplicationsGiovanni AlbertiMarianna CsörnyeiDavid Preisspp. 23–40Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group FactorizationsDenis Aurouxpp. 41–59Harmonic Measure on Fractal SetsD. BeliaevStanislav Smirnovpp. 61–71Singular Approximations to Hyperbolic Systems of Conservation LawsStefano Bianchinipp. 73–94Representation Theory and Random Point ProcessesAlexei BorodinGrigori Olshanskipp. 95–101Stability of Relaxation Models for Conservation Laws François Bouchutpp. 103–115Hyperbolic 3-manifolds and the Geometry of the Curve ComplexBrian H. Bowditchpp. 117–120Proof of an Intersection Theorem via Fourier AnalysisEhud Friedgutpp. 121–139Nonlinear Schrödinger Equations on Compact ManifoldsPatrick Gérardpp. 141–154A Probabilistic Approach to Some Problems in von Neumann AlgebrasAlice Guionnetpp. 155–172Singular Elements of Affine Kac–Moody GroupsStefan HelmkePeter Slodowypp. 173–200On the Camassa–Holm and Hunter–Saxton equationsHelge Holdenpp. 201–220Multiple Scales Asymptotics for Atmospheric FlowsRupert KleinEileen MikuskyAntony Owinohpp. 221–232Proof ComplexityJan Krajícekpp. 233–246Horizontal Configurations of Points in Link ComplementsDaan Krammerpp. 247–256Invariant Measures for Multiparameter Diagonalizable Algebraic Actions - A Short SurveyElon Lindenstrausspp. 257–268Phase Transition Phenomena in Random Discrete StructuresTomasz Łuczakpp. 269–282Systems Controlled by Rough PathsTerry J. Lyonspp. 283–308The Stable Mapping Class Group and Stable Homotopy TheoryJørgen Ellegaard AndersenMichael Weisspp. 309–324A Non-asymptotic Theory for Model SelectionPascal Massartpp. 325–340Reflection, Bernoulli Numbers and the Proof of Catalan's ConjecturePreda Mihailescupp. 341–364F-thresholds and Bernstein–Sato PolynomialsMircea MustaţăShunsuke TakagiKei-ichi Watanabepp. 365–380Hyperkähler Manifolds and Algebraic GeometryKieran G. O'Gradypp. 381–390SumsetsImre Z. Ruzsapp. 391–424Measurable Group TheoryYehuda Shalompp. 425–444Some Mathematical Problems of Neural Networks TheoryM. Shcherbinapp. 445–458Zeroes of Gaussian Analytic FunctionsMikhail Sodinpp. 459–476Painlevé's Problem, Analytic Capacity and Curvature of MeasuresXavier Tolsapp. 477–500Regularization Techniques for Singular Source Terms in Differential EquationsAnna-Karin Tornbergpp. 501–514Equilibrium Measures and PolynomialsVilmos Totikpp. 515–528SLE, Conformal Restriction, LoopsWendelin Wernerpp. 529–546On the Integral Points on Certain Algebraic VarietiesUmberto Zannierpp. 549–554Some Problems Related with Holomorphic Functions on Tube Domains over Light ConesAline Bonamipp. 555–560Hyperbolic PDEs, Kinetic Formulation, Geometric Measure TheoryYann Brenierpp. 561–572Random Dynamics in Spatially Extended SystemsFrank den Hollanderpp. 573–596Analysis and Operators 2000-2004 - Four Years of Network ActivityJean Esterlepp. 597–618Analysis of the Bottom of the Spectrum of Schrödinger Operators with Magnetic Potentials and ApplicationsBernard Helfferpp. 619–624Mathematical Aspects of Quantum ChaosJ.P. Keatingpp. 625–642The Research Training Network “Algebraic Combinatorics in Europe”Christian Krattenthalerpp. 643–654Algebras with Involution and Adjoint GroupsMarina Monsurròpp. 655–668Constructing Algebraic Varieties via Commutative AlgebraMiles Reidpp. 669–680Mathematical Problems of Large Quantum SystemsRyszard Nestpp. 681–696The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEMJakob Stixpp. 699–718Hydrodynamic LimitsFrançois Golsepp. 719–732Mathematical Aspects of Mean Field Spin Glass TheoryFrancesco Guerrapp. 733–750Complexity Theory, Proofs and ApproximationJohan Håstadpp. 751–768Random Surfaces Enumerating Algebraic CurvesElliott H. Liebpp. 769–782On Heegaard Diagrams and Holomorphic DisksPeter S. OzsváthZoltán Szabópp. 783–786Emergence of Symmetry: Conformal Invariance in Scaling Limits of Random SystemsMichael H. Freedmanpp. 787–807Recent Progresses in Kähler and Complex Algebraic GeometryClaire Voisinpp. 811–826Isoperimetric Inequalities, Probability Measures and Convex GeometryFranck Barthepp. 827–836Symplectic Topology and Algebraic FamiliesPaul Biranpp. 837–850Vortices in the Ginzburg-Landau Model of SuperconductivitySylvia Serfatypp. 851–860Validated Numerics for PedestriansWarwick Tuckerpp. 861–879From Classical to Non-commutative Iwasawa Theory: An Introduction to the <var>GL</var><sub>2</sub> Main ConjectureOtmar Venjakob
pp. 3–22Structure of Null Sets in the Plane and ApplicationsGiovanni AlbertiMarianna CsörnyeiDavid Preiss
pp. 23–40Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group FactorizationsDenis Auroux
pp. 247–256Invariant Measures for Multiparameter Diagonalizable Algebraic Actions - A Short SurveyElon Lindenstrauss
pp. 283–308The Stable Mapping Class Group and Stable Homotopy TheoryJørgen Ellegaard AndersenMichael Weiss
pp. 477–500Regularization Techniques for Singular Source Terms in Differential EquationsAnna-Karin Tornberg
pp. 549–554Some Problems Related with Holomorphic Functions on Tube Domains over Light ConesAline Bonami
pp. 597–618Analysis of the Bottom of the Spectrum of Schrödinger Operators with Magnetic Potentials and ApplicationsBernard Helffer
pp. 681–696The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEMJakob Stix
pp. 783–786Emergence of Symmetry: Conformal Invariance in Scaling Limits of Random SystemsMichael H. Freedman
pp. 861–879From Classical to Non-commutative Iwasawa Theory: An Introduction to the <var>GL</var><sub>2</sub> Main ConjectureOtmar Venjakob