Departmental Colloquium
Beibei Liu
MIT
The critical exponent: old and new
Abstract: The critical exponent is an important numerical invariant of discrete isometry groups acting on negatively curved Hadamard manifolds, Gromov hyperbolic spaces, and higher-rank symmetric spaces. In this talk, I will focus on discrete isometry groups acting on hyperbolic spaces, which is a family of important examples of these three types of spaces. In particular, I will explain how the numerical invariant is closely related to geometry, dynamics, and representation of the group action on the hyperbolic space.
Tea afterwards at 4pm
Thursday November 17, 2022 at 3:00 PM in 636 SEO