The conference will focus on the global qualitative study (topological and ergodic) of differentiable dynamical systems, especially hinchable diffeomorphisms and vector fields, that are not uniformly hyperbolic. Among the main topics to be covered are:

•  Beyond Hyperbolicity
  • Partial hyperbolicity
  • Nonuniform hyperbolicity
  • Singular hyperbolicity
  • Lyapunov exponents
  • Dimension
  • Statistical properties
• Global and Semilocal Properties
  • The -topology
  • Bifurcations
• Other Topics
  • Interval Dynamics
  • Group actions
  • Foliations

Our aim is to form a group of about 110 mathematicians, including some of the main international actors in these subjects, as well as young mathematicians and students. We plan to have ten days to schedule several mini-courses and a few plenary lectures, so that a large part of the time will be devoted to informal discussions.

2 to 3 lecture rooms will be available to the participants for more specialized sessions.