Rigidity of lattice actions.

Group Actions, Geometry and Dynamics
Event time: 
Thursday, February 2, 2023 - 4:00pm
LOM 206
Aaron Brown
Speaker affiliation: 
Northwestern University
Event description: 
Lattices in SL(n,R) (for n at least 3) are known to exhibit various rigidity properties relative to linear representations and similar rigidity phenomena is expected for actions on manifolds.  For instance, it is know there are no actions on manifolds of dimension below (n-1).  In this talk, I talk about work in progress to understand actions on manifolds of dimension (n-1) and dimension n.  Especially in dimension n, I’ll discuss how dynamical properties (positive topological entropy) significantly constrains the action.