Sergio Fenley
Florida State University
Title
Classification of partially hyperbolic diffeomorphisms in dimension 3 and transverse foliations
Abstract
Partially hyperbolic diffeomorhisms (PH) are maps which have 3 invariant bundles which are contracting, expanding, or in between. This talk will be on PH in dimension 3. They are very important because they are essentially the only ones that can be robustly transitive and stably ergodic. We will discuss a complete classification of PH when M is not virtually solvable. The classification depends on understanding transverse two dimensional foliations in 3-manifolds.
