PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Smooth Rigidity of Partially Hyperbolic Abelian Actions"
Seminar:Ph.D. Thesis Defense
Speaker:Kurt Vinhage, Adviser: Anatole Katok, Penn State
Abstract Link:http://
Abstract:
Smooth rigidity is a phenomenon which stengthens the structural stability property that is prevalent throughout Anosov systems and normal hyperbolicity persistence for partially hyperbolic systems. Such cases were first developed by Katok and Spatzier for Anosov systems and extended to certain limited cases of partially hyperbolic homogeneous systems by Damjanovic and Katok. By applying previously undiscovered connections between classical ideas in topological groups and these systems, we are able to extend smooth rigidity to a much broader class of homogeneous actions: first to generic restrictions, and by carefully considering generating relations among subclasses of unipotent subgroups, general partially hyperbolic actions on semisimple Lie group quotient and their semidirect products. In the case of simple Lie groups, get an optimal result in the case of semisimple actions.

Room Reservation Information

Room Number:MB114
Date:04 / 28 / 2016
Time:12:15pm - 02:15pm