European Congress of Mathematics Kraków, 2 – 7 July, 2012 [electronic resource] / Rafał Latała, Andrzej Ruciński, Paweł Strzelecki, Jacek Świątkowski, Dariusz Wrzosek, Piotr Zakrzewski - Zuerich, Switzerland : European Mathematical Society Publishing House, 2014 - 1 online resource (824 pages)

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 / 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 $p > 0$ / 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 Schrodinger 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 / 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 / Some mathematical aspects of the planet Earth / Turing's Mathematical Work / Counting Berg partitions via Sturmian words and substitution tilings / Adrian Constantin -- Camillo De Lellis, László Székelyhidi Jr. -- Herbert Edelsbrunner, Dmitriy Morozov -- Misha Gromov -- Christopher D. Hacon -- Alexander Braverman, David Kazhdan -- Sylvia Serfaty -- Saharon Shelah -- Michel Talagrand -- Anton Alekseev -- Jean Bertoin -- Serge Cantat -- Vicent Caselles -- Alessandra Celletti -- Pierre Colmez -- Tom Coates, Alessio Corti, Sergey Galkin, Vasily Golyshev, Alexander Kasprzyk -- Hélène Esnault -- Alexander A. Gaifullin -- Isabelle Gallagher -- Olle Häggström -- Arieh Iserles -- Alexander S. Kechris -- Bernhard Keller -- Sławomir Kołodziej -- Gady Kozma -- Frank Merle -- Andrey Mironov -- David Nualart -- Alexander Olevskii -- Leonid Parnovski -- Benjamin Schlein -- Piotr Śniady -- Hao Jia, Vladimír Šverák -- Stevo Todorčević -- Simon Brendle -- Alessio Figalli -- Adrian Ioana -- Mathieu Lewin -- Ciprian Manolescu -- Grégory Miermont -- Tom Sanders -- Corinna Ulcigrai -- Emmanuel Trélat -- Jan P. Hogendijk -- José Francisco Rodrigues -- P.D. Welch -- Artur Siemaszko, Maciej P. Wojtkowski.

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The European Congress of Mathematics, held every four years, has become a well-established major international mathematical event. Following those in Paris (1992), Budapest (1996), Barcelona (2000), Stockholm (2004) and Amsterdam (2008), the Sixth European Congress of Mathematics (6ECM) took place in Kraków, Poland, July 2–7, 2012, with about 1000 participants from all over the world. Ten plenary, thirty-three invited lectures and three special lectures formed the core of the program. As at all the previous EMS congresses, ten outstanding young mathematicians received the EMS prizes in recognition of their research achievements. In addition, two more prizes were awarded: the Felix Klein Prize for a remarkable solution of an industrial problem, and – for the first time – the Otto Neugebauer Prize for a highly original and influential piece of work in the history of mathematics. The program was complemented by twenty-four minisymposia with nearly 100 talks, spread over all areas of mathematics. Six panel discussions were organized, covering a variety of issues ranging from the financing of mathematical research to gender imbalance in mathematics. These proceedings present extended versions of most of the invited talks which were delivered during the congress, providing a permanent record of the best what mathematics offers today.

9783037196205

10.4171/120 doi


Mathematics and science
General
The Institute of Mathematical Sciences, Chennai, India

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