Summer School on Contemporary Dynamical Systems (SMS)

The theory of dynamical systems has witnessed very significant developments in the last decades. This progress was acknowledged by the fact that the field was granted 9 lectures at ICM2014. It is also worth mentioning that most of the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani fits into the field of dynamical systems. The theory of dynamical systems is a very broad area, which has both pure and applied mathematics aspects. In this school, we emphasize two main of recent developments, namely those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side, as well as four other related areas.

Confirmed speakers: Thomas Barthelmé, Queen's University, Anosov flows in dimension 3 Sylvain Crovisier, Université de Paris-Sud (France), Partial hyperbolicity conservative and dissipative Konstantin Khanin, University of Toronto (Canada), Renormalization Patrice Le Calvez, Université Pierre et Marie Curie, Paris (France), Maximal isotopies, transverse foliations and orbit forcing theory for surface homeomorphisms Andrés Navas, University of Santiago (Chile), Groups and dynamics Enrique Pujals, IMPA (Brazil), Dynamics of smooth volume-contracting surfaces diffeomorphisms Jean-François Quint, Université de Bordeaux (France), Random walks on groups: limit theorems Juan Rivera-Letelier, University of Rochester (USA), Thermodynamic formalism of one-dimensional maps Federico Rodriguez-Hertz, PennState University (USA), Group actions, rigidity and beyond Christiane Rousseau, Université de Montréal (Canada), Singularities of analytic dynamical systems depending on parameters Ferrán Valdez, Universidad Nacional Autónoma (Mexico), Geometry and dynamics on infinite type flat surfaces Marcelo Viana, IMPA (Brazil), Lyapunov exponents Amie Wilkinson, University of Chicago (USA), The ergodic hypothesis and its sequelae