European Congress of Mathematics Stockholm, June 27 – July 2, 2004 [electronic resource] /
Ari Laptev
- Zuerich, Switzerland : European Mathematical Society Publishing House, 2005
- 1 online resource (897 pages)
Structure of Null Sets in the Plane and Applications / Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group Factorizations / Harmonic Measure on Fractal Sets / Singular Approximations to Hyperbolic Systems of Conservation Laws / Representation Theory and Random Point Processes / Stability of Relaxation Models for Conservation Laws / Hyperbolic 3-manifolds and the Geometry of the Curve Complex / Proof of an Intersection Theorem via Fourier Analysis / Nonlinear Schrödinger Equations on Compact Manifolds / A Probabilistic Approach to Some Problems in von Neumann Algebras / Singular Elements of Affine Kac–Moody Groups / On the Camassa–Holm and Hunter–Saxton equations / Multiple Scales Asymptotics for Atmospheric Flows / Proof Complexity / Horizontal Configurations of Points in Link Complements / Invariant Measures for Multiparameter Diagonalizable Algebraic Actions - A Short Survey / Phase Transition Phenomena in Random Discrete Structures / Systems Controlled by Rough Paths / The Stable Mapping Class Group and Stable Homotopy Theory / A Non-asymptotic Theory for Model Selection / Reflection, Bernoulli Numbers and the Proof of Catalan's Conjecture / F-thresholds and Bernstein–Sato Polynomials / Hyperkähler Manifolds and Algebraic Geometry / Sumsets / Measurable Group Theory / Some Mathematical Problems of Neural Networks Theory / Zeroes of Gaussian Analytic Functions / Painlevé's Problem, Analytic Capacity and Curvature of Measures / Regularization Techniques for Singular Source Terms in Differential Equations / Equilibrium Measures and Polynomials / SLE, Conformal Restriction, Loops / On the Integral Points on Certain Algebraic Varieties / Some Problems Related with Holomorphic Functions on Tube Domains over Light Cones / Hyperbolic PDEs, Kinetic Formulation, Geometric Measure Theory / Random Dynamics in Spatially Extended Systems / Analysis and Operators 2000-2004 - Four Years of Network Activity / Analysis of the Bottom of the Spectrum of Schrödinger Operators with Magnetic Potentials and Applications / Mathematical Aspects of Quantum Chaos / The Research Training Network “Algebraic Combinatorics in Europe” / Algebras with Involution and Adjoint Groups / Constructing Algebraic Varieties via Commutative Algebra / Mathematical Problems of Large Quantum Systems / The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEM / Hydrodynamic Limits / Mathematical Aspects of Mean Field Spin Glass Theory / Complexity Theory, Proofs and Approximation / Random Surfaces Enumerating Algebraic Curves / On Heegaard Diagrams and Holomorphic Disks / Emergence of Symmetry: Conformal Invariance in Scaling Limits of Random Systems / Recent Progresses in Kähler and Complex Algebraic Geometry / Isoperimetric Inequalities, Probability Measures and Convex Geometry / Symplectic Topology and Algebraic Families / Vortices in the Ginzburg-Landau Model of Superconductivity / Validated Numerics for Pedestrians / From Classical to Non-commutative Iwasawa Theory: An Introduction to the GL2 Main Conjecture / Giovanni Alberti, Marianna Csörnyei, David Preiss -- Denis Auroux -- D. Beliaev, Stanislav Smirnov -- Stefano Bianchini -- Alexei Borodin, Grigori Olshanski -- François Bouchut -- Brian H. Bowditch -- Ehud Friedgut -- Patrick Gérard -- Alice Guionnet -- Stefan Helmke, Peter Slodowy -- Helge Holden -- Rupert Klein, Eileen Mikusky, Antony Owinoh -- Jan Krajícek -- Daan Krammer -- Elon Lindenstrauss -- Tomasz Łuczak -- Terry J. Lyons -- Jørgen Ellegaard Andersen, Michael Weiss -- Pascal Massart -- Preda Mihailescu -- Mircea Mustaţă, Shunsuke Takagi, Kei-ichi Watanabe -- Kieran G. O'Grady -- Imre Z. Ruzsa -- Yehuda Shalom -- M. Shcherbina -- Mikhail Sodin -- Xavier Tolsa -- Anna-Karin Tornberg -- Vilmos Totik -- Wendelin Werner -- Umberto Zannier -- Aline Bonami -- Yann Brenier -- Frank den Hollander -- Jean Esterle -- Bernard Helffer -- J.P. Keating -- Christian Krattenthaler -- Marina Monsurrò -- Miles Reid -- Ryszard Nest -- Jakob Stix -- François Golse -- Francesco Guerra -- Johan Håstad -- Elliott H. Lieb -- Peter Ozsváth, Zoltán Szabó -- Michael H. Freedman -- Claire Voisin -- Franck Barthe -- Paul Biran -- Sylvia Serfaty -- Warwick Tucker -- Otmar Venjakob.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996 and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004 with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six “Science Lectures” covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prize winners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prize winners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today. Plenary lectures François Golse (Paris, France) Francesco Guerra (Roma, Italy) Johan Håstad (Stockholm, Sweden) Andrei Okounkov (Princeton, USA) Oded Schramm (Microsoft Research, USA) Zoltán Szabó (Princeton, USA) Claire Voisin (Paris, France) Invited Lectures Giovanni Alberti (Pisa, Italy) Denis Auroux (MIT, USA and Palaiseau, France) Stefano Bianchini (Rome, Italy) François Bouchut (Paris, France) Brian Bowditch (Southampton, UK) Ehud Friedgut (Jerusalem, Israel) Patrick Gérard (Orsay, France) Alice Guionnet (Lyon, France) Stefan Helmke (Kyoto, Japan) Helge Holden (Trondheim, Norway) Rupert Klein (Berlin, Germany) Jan Krajícek (Prague, Czech Republic) Daan Krammer (Warwick, UK) Elon Lindenstrauss (Clay Mathematics Institute, USA) Tomas...
9783037195093
10.4171/009 doi
Mathematics
Structure of Null Sets in the Plane and Applications / Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group Factorizations / Harmonic Measure on Fractal Sets / Singular Approximations to Hyperbolic Systems of Conservation Laws / Representation Theory and Random Point Processes / Stability of Relaxation Models for Conservation Laws / Hyperbolic 3-manifolds and the Geometry of the Curve Complex / Proof of an Intersection Theorem via Fourier Analysis / Nonlinear Schrödinger Equations on Compact Manifolds / A Probabilistic Approach to Some Problems in von Neumann Algebras / Singular Elements of Affine Kac–Moody Groups / On the Camassa–Holm and Hunter–Saxton equations / Multiple Scales Asymptotics for Atmospheric Flows / Proof Complexity / Horizontal Configurations of Points in Link Complements / Invariant Measures for Multiparameter Diagonalizable Algebraic Actions - A Short Survey / Phase Transition Phenomena in Random Discrete Structures / Systems Controlled by Rough Paths / The Stable Mapping Class Group and Stable Homotopy Theory / A Non-asymptotic Theory for Model Selection / Reflection, Bernoulli Numbers and the Proof of Catalan's Conjecture / F-thresholds and Bernstein–Sato Polynomials / Hyperkähler Manifolds and Algebraic Geometry / Sumsets / Measurable Group Theory / Some Mathematical Problems of Neural Networks Theory / Zeroes of Gaussian Analytic Functions / Painlevé's Problem, Analytic Capacity and Curvature of Measures / Regularization Techniques for Singular Source Terms in Differential Equations / Equilibrium Measures and Polynomials / SLE, Conformal Restriction, Loops / On the Integral Points on Certain Algebraic Varieties / Some Problems Related with Holomorphic Functions on Tube Domains over Light Cones / Hyperbolic PDEs, Kinetic Formulation, Geometric Measure Theory / Random Dynamics in Spatially Extended Systems / Analysis and Operators 2000-2004 - Four Years of Network Activity / Analysis of the Bottom of the Spectrum of Schrödinger Operators with Magnetic Potentials and Applications / Mathematical Aspects of Quantum Chaos / The Research Training Network “Algebraic Combinatorics in Europe” / Algebras with Involution and Adjoint Groups / Constructing Algebraic Varieties via Commutative Algebra / Mathematical Problems of Large Quantum Systems / The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEM / Hydrodynamic Limits / Mathematical Aspects of Mean Field Spin Glass Theory / Complexity Theory, Proofs and Approximation / Random Surfaces Enumerating Algebraic Curves / On Heegaard Diagrams and Holomorphic Disks / Emergence of Symmetry: Conformal Invariance in Scaling Limits of Random Systems / Recent Progresses in Kähler and Complex Algebraic Geometry / Isoperimetric Inequalities, Probability Measures and Convex Geometry / Symplectic Topology and Algebraic Families / Vortices in the Ginzburg-Landau Model of Superconductivity / Validated Numerics for Pedestrians / From Classical to Non-commutative Iwasawa Theory: An Introduction to the GL2 Main Conjecture / Giovanni Alberti, Marianna Csörnyei, David Preiss -- Denis Auroux -- D. Beliaev, Stanislav Smirnov -- Stefano Bianchini -- Alexei Borodin, Grigori Olshanski -- François Bouchut -- Brian H. Bowditch -- Ehud Friedgut -- Patrick Gérard -- Alice Guionnet -- Stefan Helmke, Peter Slodowy -- Helge Holden -- Rupert Klein, Eileen Mikusky, Antony Owinoh -- Jan Krajícek -- Daan Krammer -- Elon Lindenstrauss -- Tomasz Łuczak -- Terry J. Lyons -- Jørgen Ellegaard Andersen, Michael Weiss -- Pascal Massart -- Preda Mihailescu -- Mircea Mustaţă, Shunsuke Takagi, Kei-ichi Watanabe -- Kieran G. O'Grady -- Imre Z. Ruzsa -- Yehuda Shalom -- M. Shcherbina -- Mikhail Sodin -- Xavier Tolsa -- Anna-Karin Tornberg -- Vilmos Totik -- Wendelin Werner -- Umberto Zannier -- Aline Bonami -- Yann Brenier -- Frank den Hollander -- Jean Esterle -- Bernard Helffer -- J.P. Keating -- Christian Krattenthaler -- Marina Monsurrò -- Miles Reid -- Ryszard Nest -- Jakob Stix -- François Golse -- Francesco Guerra -- Johan Håstad -- Elliott H. Lieb -- Peter Ozsváth, Zoltán Szabó -- Michael H. Freedman -- Claire Voisin -- Franck Barthe -- Paul Biran -- Sylvia Serfaty -- Warwick Tucker -- Otmar Venjakob.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996 and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004 with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six “Science Lectures” covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prize winners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prize winners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today. Plenary lectures François Golse (Paris, France) Francesco Guerra (Roma, Italy) Johan Håstad (Stockholm, Sweden) Andrei Okounkov (Princeton, USA) Oded Schramm (Microsoft Research, USA) Zoltán Szabó (Princeton, USA) Claire Voisin (Paris, France) Invited Lectures Giovanni Alberti (Pisa, Italy) Denis Auroux (MIT, USA and Palaiseau, France) Stefano Bianchini (Rome, Italy) François Bouchut (Paris, France) Brian Bowditch (Southampton, UK) Ehud Friedgut (Jerusalem, Israel) Patrick Gérard (Orsay, France) Alice Guionnet (Lyon, France) Stefan Helmke (Kyoto, Japan) Helge Holden (Trondheim, Norway) Rupert Klein (Berlin, Germany) Jan Krajícek (Prague, Czech Republic) Daan Krammer (Warwick, UK) Elon Lindenstrauss (Clay Mathematics Institute, USA) Tomas...
9783037195093
10.4171/009 doi
Mathematics