Beibei Liu : The critical exponent: old and new

Posted by Daniel Groves , part of the Departmental Colloquium.

At

Nov. 17, 2022, 3 p.m.

In

636 SEO

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