Topological and formal dynamics. Geometric and qualitative theory of ODE and smooth dynamical systems, bifurcations and singularities. Hamiltonian systems and dynamical systems of geometric origin, e.g. geodesic flows. One-dimensional and holomorphic dynamics. Billiards including rational billiards. Multidimensional actions and rigidity in dynamics. Ergodic theory including applications to combinatorics and combinatorial number theory.
INVITED SPEAKERS
Oleg N. Ageev
Max-Planck- Institut für Mathematik, Bonn, Germany
and
Moscow State Technical University, Moscow, Russia
Spectral invariants in the modern ergodic theory
Monday, August 28, 18:00-18:45
Vitaly Bergelson
Ohio State University, Columbus, USA
Ergodic Ramsey theory: a dynamical approach to static theorems
Wednesday, August 23, 15:00-15:45
Rafael de la Llave
The University of Texas at Austin, Austin, USA
Some recent progress in geometric methods for the instability problem in Hamiltonian mechanics
Thursday, August 24, 15:00-15:45
Dmitry Dolgopyat
University of Maryland College Park, College Park, USA
Hyperbolic billiards and their modifications
Saturday, August 26, 16:00-16:45
Robert Ghrist
University of Illinois at Urbana-Champaign, Urbana, USA
Braids and differential equations
Friday, August 25, 15:00-15:45
Vadim Kaloshin
California Institute of Technology, Pasadena, USA
Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems
Saturday, August 26, 15:00-15:45
Bryna Kra
Northwestern University, Evanston, USA
From combinatorics to ergodic theory and back again
Wednesday, August 23, 16:00-16:45
Patrice le Calvez
Université Paris XIII, Villetaneuse, France
From Brouwer theory to the study of homeomorphims of surfaces
Friday, August 25, 16:00-16:45
Elon Lindenstrauss
Princeton University, Princeton, USA
Invariant measures for diagonalizable actions, arithmetic applications, and entropy
Wednesday, August 23, 17:00-17:45
Michael Shub
University of Toronto, Toronto, Canada
All, most, some differentiable dynamical systems
Thursday, August 24, 16:00-16:45
Anton Zorich
Université de Rennes, Rennes, France
Geodesics on flat surfaces
Monday, August 28, 17:00-17:45