PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Hope Shaffer, Mari Royer, Yakov Pesin, Dmitri Burago.

Title:On The Ergodicity of Partially Hyperbolic Group Actions
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Kal Nanes, Northwestern
Abstract:
In 1996, Pugh and Shub conjectured that stable ergodicity is C^k-open and dense in the space of C^k, volume-preserving, partially hyperbolic diff eomorphisms. The purpose of this talk is to examine some recent results on this conjecture and reformulate them for the more general setting of partially hyperbolic flows or Lie group actions (as opposed to di ffeomorphisms). In particular, we will prove that stable ergodicity is C^k-open and dense in the space of C^k, volume-preserving, partially hyperbolic flows with one-dimensional center.

Room Reservation Information

Room Number:MB106
Date:03 / 01 / 2010
Time:03:30pm - 05:30pm