Seminar 1.23.20 Potrie

Title: Partial hyperbolicity and foliations in 3-manifolds

Speaker: Rafael Potrie – CMAT (Uruguay)

Abstract: I’ll explain a beautiful old result by Margulis and Plante-Thurston stating that if a 3-manifold admits an Anosov flow then its fundamental group has exponential growth (as well as explaining what these things mean). I will then explain how some ideas can be pushed further to understand the topological structure of partially hyperbolic diffeomorphisms.