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Some mathematical aspects of water waves / Adrian Constantin  Continuous dissipative Euler flows and a conjecture of Onsager / Camillo De Lellis, László Székelyhidi Jr.  Persistent Homology: Theory and Practice / Herbert Edelsbrunner, Dmitriy Morozov  In a Search for a Structure, Part 1: On Entropy / Misha Gromov  Classification of Algebraic Varieties / Christopher D. Hacon  Representations of affine Kac–Moody groups over local and global fields: a survey of some recent results / Alexander Braverman, David Kazhdan  Emergence of the Abrikosov lattice in several models with two dimensional Coulomb interaction / Sylvia Serfaty  Dependent Classes E72 / Saharon Shelah  Chaining and the Geometry of Stochastic Processes / Michel Talagrand  Duflo isomorphism, the Kashiwara–Vergne conjecture and Drinfeld associators / Anton Alekseev  Coagulation with limited aggregations / Jean Bertoin  The Cremona group in two variables / Serge Cantat  Variational models for image inpainting / Vicent Caselles  KAM theory and its applications: from conservative to dissipative systems / Alessandra Celletti  Le programme de Langlands $p$adique / Pierre Colmez  Mirror Symmetry and Fano Manifolds / Tom Coates, Alessio Corti, Sergey Galkin, Vasily Golyshev, Alexander Kasprzyk  On flat bundles in characteristic 0 and $p > 0$ / Hélène Esnault  Combinatorial realisation of cycles and small covers / Alexander A. Gaifullin  Remarks on the global regularity for solutions to the incompressible Navier–Stokes equations / Isabelle Gallagher  Why the empirical sciences need statistics so desperately / Olle Häggström  Computing the Schrґodinger equation with no fear of commutators / Arieh Iserles  Dynamics of nonarchimedean Polish groups / Alexander S. Kechris  Cluster algebras and cluster monomials / Bernhard Keller  Weak solutions to the complex Monge–Ampère equation / Sławomir Kołodziej  Reinforced random walk / Gady Kozma  On blowup curves for semilinear wave equations / Frank Merle  Commuting higher rank ordinary differential operators / Andrey Mironov  Stochastic calculus with respect to the fractional Brownian motion / David Nualart  Sampling, Interpolation, Translates / Alexander Olevskii  Multidimensional periodic and almostperiodic spectral problems / Leonid Parnovski  Effective equations for quantum dynamics / Benjamin Schlein  Combinatorics of asymptotic representation theory / Piotr Śniady  On scaleinvariant solutions of the Navier–Stokes equations / Hao Jia, Vladimír Šverák  Ramseytheoretic analysis of the conditional structure of weaklynull sequences / Stevo Todorčević  Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds / Simon Brendle  Stability in geometric and functional inequalities / Alessio Figalli  Classification and rigidity for von Neumann algebras / Adrian Ioana  A nonlinear variational problem in relativistic quantum mechanics / Mathieu Lewin  Grid Diagrams in Heegaard Floer Theory / Ciprian Manolescu  Random maps and continuum random 2dimensional geometries / Grégory Miermont  Approximate (Abelian) groups / Tom Sanders  Shearing and mixing in parabolic flows / Corinna Ulcigrai  Optimal control theory and some applications to aerospace problems / Emmanuel Trélat  Mathematics and geometric ornamentation in the medieval Islamic world / Jan P. Hogendijk  Some mathematical aspects of the planet Earth / José Francisco Rodrigues  Turing's Mathematical Work / P.D. Welch  Counting Berg partitions via Sturmian words and substitution tilings / Artur Siemaszko, Maciej P. Wojtkowski 

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The European Congress of Mathematics, held every four years, has become a wellestablished 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, thirtythree 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 twentyfour 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 
Subject 
Mathematics and science bicssc


General msc

Alt Author 
Latała, Rafał, editor


Ruciński, Andrzej, editor


Strzelecki, Paweł, editor


Świątkowski, Jacek, editor


Wrzosek, Dariusz, editor


Zakrzewski, Piotr, editor

