Dynamics Seminar
March 3, 2009

Kal Nanes
Northwestern University

On the Ergodicity of Partially Hyperbolic Group Actions

In 1995, Pugh and Shub conjectured that ergodicity is C^r open and dense in the space of C^r partially hyperbolic diffeomorphisms. Much work has gone into proving this conjecture; this discussion will talk about generalizations of the latest results to the setting of partially hyperbolic flows, and more generally, group actions.