Back to Departmental Colloquium: Spring 2024
Departmental Colloquium
Date: Thursday, Jan 11, 2024
Time: 4:00PM - 5:00PM
Location: JWB 335
Nicholas Miller
University of Oklahoma
Title |
Superrigidity theorems: old and new |
Abstract |
In the 1970s, seminal work of Margulis showed that higher rank lattices have superrigid representations, which in particular implies that all such lattices are arithmetic. Since then Gromov–Piatetski-Shapiro and Deligne–Mostow have shown that a similar superrigidity theorem cannot hold in the hyperbolic setting. In this talk, we will survey the work of Margulis on superrigidity and then go on to discuss how one can prove certain superrigidity/arithmeticity theorems for hyperbolic manifolds provided that the associated manifolds satisfy additional geometric hypothesis. |
Geometry and Topology
Representation Theory