European Congress of Mathematics
Kraków, 2 – 7 July, 2012


Book details

Some mathematical aspects of water waves
Adrian Constantin
pp. 1–12
Abstract | Full-Text PDF (330 KB)

Continuous dissipative Euler flows and a conjecture of Onsager
Camillo De Lellis and László Székelyhidi Jr.
pp. 13–29
Abstract | Full-Text PDF (383 KB)

Persistent Homology: Theory and Practice
Herbert Edelsbrunner and Dmitriy Morozov
pp. 31–50
Abstract | Full-Text PDF (437 KB)

In a Search for a Structure, Part 1: On Entropy
Misha Gromov
pp. 51–78
Abstract | Full-Text PDF (474 KB)

Classification of Algebraic Varieties
Christopher D. Hacon
pp. 79–90
Abstract | Full-Text PDF (354 KB)

Representations of affine Kac–Moody groups over local and global fields: a survey of some recent results
Alexander Braverman and David Kazhdan
pp. 91–117
Abstract | Full-Text PDF (554 KB)

Emergence of the Abrikosov lattice in several models with two dimensional Coulomb interaction
Sylvia Serfaty
pp. 119–135
Abstract | Full-Text PDF (674 KB)

Dependent Classes E72
Saharon Shelah
pp. 137–157
Abstract | Full-Text PDF (386 KB)

Chaining and the Geometry of Stochastic Processes
Michel Talagrand
pp. 159–178
Abstract | Full-Text PDF (364 KB)

Duflo isomorphism, the Kashiwara–Vergne conjecture and Drinfeld associators
Anton Alekseev
pp. 179–193
Abstract | Full-Text PDF (344 KB)

Coagulation with limited aggregations
Jean Bertoin
pp. 195–209
Abstract | Full-Text PDF (341 KB)

The Cremona group in two variables
Serge Cantat
pp. 211–225
Abstract | Full-Text PDF (440 KB)

Variational models for image inpainting
Vicent Caselles
pp. 227–242
Abstract | Full-Text PDF (737 KB)

KAM theory and its applications: from conservative to dissipative systems
Alessandra Celletti
pp. 243–257
Abstract | Full-Text PDF (391 KB)

Le programme de Langlands $p$-adique
Pierre Colmez
pp. 259–284
Abstract | Full-Text PDF (620 KB)

Mirror Symmetry and Fano Manifolds
Tom Coates, Alessio Corti, Sergey Galkin, Vasily Golyshev and Alexander Kasprzyk
pp. 285–300
Abstract | Full-Text PDF (511 KB)

On flat bundles in characteristic 0 and $p > 0$
Hélène Esnault
pp. 301–313
Abstract | Full-Text PDF (373 KB)

Combinatorial realisation of cycles and small covers
Alexander A. Gaifullin
pp. 315–330
Abstract | Full-Text PDF (422 KB)

Remarks on the global regularity for solutions to the incompressible Navier–Stokes equations
Isabelle Gallagher
pp. 331–345
Abstract | Full-Text PDF (377 KB)

Why the empirical sciences need statistics so desperately
Olle Häggström
pp. 347–360
Abstract | Full-Text PDF (266 KB)

Computing the Schrodinger equation with no fear of commutators
Arieh Iserles
pp. 361–374
Abstract | Full-Text PDF (369 KB)

Dynamics of non-archimedean Polish groups
Alexander S. Kechris
pp. 375–397
Abstract | Full-Text PDF (423 KB)

Cluster algebras and cluster monomials
Bernhard Keller
pp. 399–413
Abstract | Full-Text PDF (376 KB)

Weak solutions to the complex Monge–Ampère equation
Sławomir Kołodziej
pp. 415–428
Abstract | Full-Text PDF (354 KB)

Reinforced random walk
Gady Kozma
pp. 429–443
Abstract | Full-Text PDF (568 KB)

On blow-up curves for semilinear wave equations
Frank Merle
pp. 445–457
Abstract | Full-Text PDF (398 KB)

Commuting higher rank ordinary differential operators
Andrey Mironov
pp. 459–473
Abstract | Full-Text PDF (351 KB)

Stochastic calculus with respect to the fractional Brownian motion
David Nualart
pp. 475–488
Abstract | Full-Text PDF (363 KB)

Sampling, Interpolation, Translates
Alexander Olevskii
pp. 489–502
Abstract | Full-Text PDF (473 KB)

Multidimensional periodic and almost-periodic spectral problems
Leonid Parnovski
pp. 503–513
Abstract | Full-Text PDF (334 KB)

Effective equations for quantum dynamics
Benjamin Schlein
pp. 515–529
Abstract | Full-Text PDF (331 KB)

Combinatorics of asymptotic representation theory
Piotr Śniady
pp. 531–545
Abstract | Full-Text PDF (493 KB)

On scale-invariant solutions of the Navier–Stokes equations
Hao Jia and Vladimír Šverák
pp. 547–553
Abstract | Full-Text PDF (316 KB)

Ramsey-theoretic analysis of the conditional structure of weakly-null sequences
Stevo Todorčević
pp. 555–572
Abstract | Full-Text PDF (447 KB)

Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds
Simon Brendle
pp. 573–583
Abstract | Full-Text PDF (299 KB)

Stability in geometric and functional inequalities
Alessio Figalli
pp. 585–599
Abstract | Full-Text PDF (346 KB)

Classification and rigidity for von Neumann algebras
Adrian Ioana
pp. 601–625
Abstract | Full-Text PDF (436 KB)

A nonlinear variational problem in relativistic quantum mechanics
Mathieu Lewin
pp. 627–641
Abstract | Full-Text PDF (370 KB)

Grid Diagrams in Heegaard Floer Theory
Ciprian Manolescu
pp. 643–657
Abstract | Full-Text PDF (416 KB)

Random maps and continuum random 2-dimensional geometries
Grégory Miermont
pp. 659–673
Abstract | Full-Text PDF (363 KB)

Approximate (Abelian) groups
Tom Sanders
pp. 675–689
Abstract | Full-Text PDF (360 KB)

Shearing and mixing in parabolic flows
Corinna Ulcigrai
pp. 691–705
Abstract | Full-Text PDF (409 KB)

Optimal control theory and some applications to aerospace problems
Emmanuel Trélat
pp. 707–726
Abstract | Full-Text PDF (730 KB)

Mathematics and geometric ornamentation in the medieval Islamic world
Jan P. Hogendijk
pp. 727–741
Abstract | Full-Text PDF (1348 KB)

Some mathematical aspects of the planet Earth
José Francisco Rodrigues
pp. 743–762
Abstract | Full-Text PDF (1552 KB)

Turing's Mathematical Work
P.D. Welch
pp. 763–777
Abstract | Full-Text PDF (340 KB)

Counting Berg partitions via Sturmian words and substitution tilings
Artur Siemaszko and Maciej P. Wojtkowski
pp. 779–790
Abstract | Full-Text PDF (324 KB)

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