
Title: Partially hyperbolic diffeomorphisms homotopic to the identity
Speaker: Thomas Barthelme (Queen's University)
Abstract: Partially hyperbolic diffeomorphisms are a type of dynamical systems, which has been studied since the 1970s, that were introduced as one of the possible relaxation of the notion of uniform hyperbolicity. In dimension three, there seems to be a rich, but not fully understood, relationship between the existence and properties of these diffeomorphisms and the topology of the manifold that support them. In this talk, I will discuss recent progress in the classification of partially hyperbolic diffeomorphisms on 3-manifolds.
This is joint work with Steven Frankel, Sergio Fenley and Rafael Potrie.