Seminar in Trieste: Raúl Ures

Thursday 29th September at 16:30 (ICTP)

“Ergodicity and Partial Hyperbolicity on Unit Tangent Bundles of Sufaces”

Abstract: A diffeomorphism is partially hyperbolic if the tangent bundle of the ambient manifold splits into three invariant sub-bundles,  \(TM = E_s \oplus E_c \oplus E_u\), in such a way that \(df\) contracts the vectors of \(E_s\) and expands the vectors of \(E_u\) while the vectors of \(E_c\) have an intermediate behavior. We will present some new advances in the study of the ergodicity of volume preserving partially hyperbolic diffeomorphisms acting on the unit tangent bundle of hyperbolic surfaces.