Lattice actions, escape of mass, and arithmetic structures

Seminar:

Group Actions and Dynamics

Event time:

Monday, October 25, 2021 - 4:00pm

Location:

Zoom

Speaker:

Aaron Brown

Speaker affiliation:

Northwestern University

Event description:

I will outline some ideas in recent work with D. Fisher and S. Hurtado establishing Zimmer’s conjecture for actions of general lattices in SL(n,R). This extends our earlier results for actions of cocompact lattices and of SL(n,Z). Problems involving escape of mass and “escape of Lyapunov exponents” arise when the lattice is not cocompact and I will outline some ideas used to avoid such behavior.