PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Stephanie Zerby, Federico Rodriguez Hertz, Boris Kalinin.

Title:Smooth and measure rigidity for actions of lattices in higher rank Lie groups, II
Seminar:Working Seminar: Dynamics and its Working Tools
Speaker:Aaron Brown and Federico Rodriguez Hertz, Penn State
Abstract:
In this series of talks we plan to show how to prove smooth rigidity of higher rank lattice Anosov actions on infranilmanifolds. The keynote is that existence of an invariant measure is not assumed. The main new technical ingredient here is the existence of a semiconjugacy for higher rank lattice actions with Anosov homotopy data. Also we will discuss the existence of invariant measures for general higher rank lattice actions on arbitrary manifolds. Of particular interest is the understanding of what distinguish the examples of the standard action of SL(n,\Z) on \T^n and the projective action of SL(n,\Z) in S^{n-1}. The first one preserves Haar measure, the second one has no-invariant measure at all. We shall give an explanation for this phenomenon relating weights and roots and then give a general criterion.

Room Reservation Information

Room Number:MB216
Date:09 / 24 / 2013
Time:03:30pm - 06:00pm