European Congress of Mathematics

Rafał Latała; Andrzej Ruciński; Paweł Strzelecki; Jacek Świątkowski; Dariusz Wrzosek; Piotr Zakrzewski

doi:10.4171/120

BooksStandalone TitlesCollected Volume

European Congress of Mathematics

Kraków, 2 – 7 July, 2012

Editors

Rafał Latała
University of Warsaw, Poland
Andrzej Ruciński
A. Mickiewicz University, Poznań, Poland
Paweł Strzelecki
University of Warsaw, Poland
Jacek Świątkowski
University of Wrocław, Poland
Dariusz Wrzosek
University of Warsaw, Poland
Piotr Zakrzewski
University of Warsaw, Poland

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pp. 1–12
Some mathematical aspects of water waves
Adrian Constantin
pp. 13–29
Continuous dissipative Euler flows and a conjecture of Onsager
Camillo De LellisLászló Székelyhidi Jr.
pp. 31–50
Persistent Homology: Theory and Practice
Herbert EdelsbrunnerDmitriy Morozov
pp. 51–78
In a Search for a Structure, Part 1: On Entropy
Misha Gromov
pp. 79–90
Classification of Algebraic Varieties
Christopher D. Hacon
pp. 91–117
Representations of affine Kac–Moody groups over local and global fields: a survey of some recent results
Alexander BravermanDavid Kazhdan
pp. 119–135
Emergence of the Abrikosov lattice in several models with two dimensional Coulomb interaction
Sylvia Serfaty
pp. 137–157
Dependent Classes E72
Saharon Shelah
pp. 159–178
Chaining and the Geometry of Stochastic Processes
Michel Talagrand
pp. 179–193
Duflo isomorphism, the Kashiwara–Vergne conjecture and Drinfeld associators
Anton Alekseev
pp. 195–209
Coagulation with limited aggregations
Jean Bertoin
pp. 211–225
The Cremona group in two variables
Serge Cantat
pp. 227–242
Variational models for image inpainting
Vicent Caselles
pp. 243–257
KAM theory and its applications: from conservative to dissipative systems
Alessandra Celletti
pp. 259–284
Le programme de Langlands $p$ -adique
Pierre Colmez
pp. 285–300
Mirror Symmetry and Fano Manifolds
Tom CoatesAlessio CortiSergey GalkinVasily GolyshevAlexander Kasprzyk
pp. 301–313
On flat bundles in characteristic 0 and $p > 0$
Hélène Esnault
pp. 315–330
Combinatorial realisation of cycles and small covers
Alexander A. Gaifullin
pp. 331–345
Remarks on the global regularity for solutions to the incompressible Navier–Stokes equations
Isabelle Gallagher
pp. 347–360
Why the empirical sciences need statistics so desperately
Olle Häggström
pp. 361–374
Computing the Schrodinger equation with no fear of commutators
Arieh Iserles
pp. 375–397
Dynamics of non-archimedean Polish groups
Alexander S. Kechris
pp. 399–413
Cluster algebras and cluster monomials
Bernhard Keller
pp. 415–428
Weak solutions to the complex Monge–Ampère equation
Sławomir Kołodziej
pp. 429–443
Reinforced random walk
Gady Kozma
pp. 445–457
On blow-up curves for semilinear wave equations
Frank Merle
pp. 459–473
Commuting higher rank ordinary differential operators
Andrey Mironov
pp. 475–488
Stochastic calculus with respect to the fractional Brownian motion
David Nualart
pp. 489–502
Sampling, Interpolation, Translates
Alexander Olevskii
pp. 503–513
Multidimensional periodic and almost-periodic spectral problems
Leonid Parnovski
pp. 515–529
Effective equations for quantum dynamics
Benjamin Schlein
pp. 531–545
Combinatorics of asymptotic representation theory
Piotr Śniady
pp. 547–553
On scale-invariant solutions of the Navier–Stokes equations
Hao JiaVladimír Šverák
pp. 555–572
Ramsey-theoretic analysis of the conditional structure of weakly-null sequences
Stevo Todorčević
pp. 573–583
Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds
Simon Brendle
pp. 585–599
Stability in geometric and functional inequalities
Alessio Figalli
pp. 601–625
Classification and rigidity for von Neumann algebras
Adrian Ioana
pp. 627–641
A nonlinear variational problem in relativistic quantum mechanics
Mathieu Lewin
pp. 643–657
Grid Diagrams in Heegaard Floer Theory
Ciprian Manolescu
pp. 659–673
Random maps and continuum random 2-dimensional geometries
Grégory Miermont
pp. 675–689
Approximate (Abelian) groups
Tom Sanders
pp. 691–705
Shearing and mixing in parabolic flows
Corinna Ulcigrai
pp. 707–726
Optimal control theory and some applications to aerospace problems
Emmanuel Trélat
pp. 727–741
Mathematics and geometric ornamentation in the medieval Islamic world
Jan P. Hogendijk
pp. 743–762
Some mathematical aspects of the planet Earth
José Francisco Rodrigues
pp. 763–777
Turing's Mathematical Work
P.D. Welch
pp. 779–790
Counting Berg partitions via Sturmian words and substitution tilings
Artur SiemaszkoMaciej P. Wojtkowski