PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Linear cocycles and criteria of conformality
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Victoria Sadovskaya, University of South Alabama, visiting Penn State
Abstract:
We consider a Holder continuous linear cocycle over a transitive Anosov diffeo- morphism f : M → M . This is an automorphism F of a vector bundle over M that pro jects to f . One of the primary examples comes from the differential Df or its restriction to a Holder continuous invariant sub-bundle of T M . Under various conditions of relative pinching, we establish properties of F including existence and continuity of measurable invariant sub-bundles and conformal structures. Then we obtain criteria for a cocycle to be isometric or conformal in terms of its periodic data.

Room Reservation Information

Room Number:MB106
Date:09 / 21 / 2009
Time:03:30pm - 05:30pm