European Congress of Mathematics: Kraków, 2-7 July, 2012 ECM-2012

Description

Content: Preface -- 6ECM Committees -- 6ECM Sponsors -- Opening Ceremony -- The Prize Winners -- List of events -- Closing Ceremony -- Participants, lectures and speakers -- Plenary Lectures: Some mathematical aspects of water waves -- Continuous dissipative Euler flows and a conjecture of Onsager -- Persistent Homology: Theory and Practice -- In a Search for a Structure, Part 1: On Entropy -- Classification of Algebraic Varieties -- Representations of affine Kac-Moody groups over local and global fields: a survey of some recent results -- Emergence of the Abrikosov lattice in several models with two dimensional Coulomb interaction -- Dependent Classes, E72 -- Chaining and the Geometry of Stochastic Processes -- Invited Lectures: Duflo isomorphism, the Kashiwara-Vergne conjecture and Drinfeld associators -- Coagulation with limited aggregations -- The Cremona group in two variables -- Variational models for image inpainting -- KAM theory and its applications: from conservative to dissipative systems -- Le programme de Langlands p-adique -- Mirror Symmetry and Fano Manifolds -- On flat bundles in characteristic 0 and p&gt 0 -- Combinatorial realisation of cycles and small covers -- Remarks on the global regularity for solutions to the incompressible Navier-Stokes equations -- Why the Empirical Sciences Need Statistics So Desperately -- Computing the Schrödinger equation with no fear of commutators -- Dynamics of non-archimedean Polish groups -- Cluster algebras and cluster monomials -- Weak solutions to the complex Monge-Ampère equation -- Reinforced random walk -- On blow-up curves for semilinear wave equations -- Commuting higher rank ordinary differential operators -- Stochastic calculus with respect to the fractional Brownian motion -- Sampling, Interpolation, Translates -- Multidimensional periodic and almost-periodic spectral problems -- Effective equations for quantum dynamics -- Combinatorics of asymptotic representation theory -- On scale-invariant solutions of the Navier-Stokes equations -- Ramsey-theoretic analysis of the conditional structure of weakly-null sequences -- Prize Winners' Lectures: Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds -- Stability in geometric and functional inequalities -- Classification and rigidity for von Neumann algebras -- A nonlinear variational problem in relativistic quantum mechanics -- Grid Diagrams in Heegaard Floer Theory -- Random maps and continuum random 2-dimensional geometries -- Approximate (Abelian) groups -- Shearing and mixing in parabolic flows -- Optimal control theory and some applications to aerospace problems -- Mathematics and geometric ornamentation in the medieval Islamic world -- Special Lectures -- Some mathematical aspects of the Planet Earth -- Turing's Mathematical Work -- Counting Berg partitions via Sturmian words and substitution tilings.