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.