PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Local Rigidity of Algebraic Higher-Rank Abelian Group Actions"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Kurt Vinhage, Adviser: Anatole Katok, Penn State
Abstract:
Structural Stability of Anosov diffeomorphisms is a prized result in dynamical systems, and the stability of orbits in the flow case is the best that can be hoped for. Remarkably, in the case of higher-rank abelian group actions, one can expect something much stronger: First, the Anosov condition can be reduced to partial hyperbolicity. Second, orbit equivalence can be replaced by smooth conjugacy. A technique using algebraic K-theory was first introduced by Katok and Damjanovic to prove this in the case of Weyl Chamber flows in SL(n,R) and SL(n,C). Similar results will be presented in the case of quaternionic groups, and the scheme for completing the program for all simple noncompact Lie groups will be outlined.

Room Reservation Information

Room Number:MB114
Date:04 / 25 / 2013
Time:01:00pm - 03:00pm