Event time:

Thursday, February 2, 2023 - 4:00pm

Location:

LOM 206

Speaker:

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.