PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok.

Title:Non-trivial cohomology and perturbations of group actions.
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Danijela Damjanovic, Rice University
Abstract:
It is often the case that infinitesimal rigidity of a discrete group action (trivial first cohomology) implies local differentiable rigidity of the action. The first cohomology for continuous group actions is non-trivial, yet in cases when it is finite dimensional and well understood it influences the local structure about the action (classical example: Diophantine vector fields on tori). I will present a general result describing perturbations of actions with non-trivial cohomology. Degenerate cases of the result may give strong local rigidity, or only a perturbative result for families of actions. I will describe some potential applications where these different forms of the theorem may apply.

Room Reservation Information

Room Number:MB106
Date:08 / 29 / 2011
Time:03:35pm - 05:30pm