Back to Departmental Colloquium: Fall 2021
Departmental Colloquium
Date: Thursday, Sep 23, 2021
Time: 4:00PM
Location: JWB 335
David Constantine
Wesleyan University
Title |
Geodesic flows on locally CAT(-1) spaces |
Abstract |
Geodesic flows on compact, negatively curved Riemannian manifolds famously have lots of extremely nice dynamical properties. To what extent do those properties hold for geodesic flows on metric spaces that are negatively curved? In this talk I’ll discuss how we can consider geodesic flows on general metric spaces, and then discuss some results on the geodesic flow of a compact, locally CAT(-1) space. It turns out that the CAT(-1) condition is sufficient for us to recover many nice properties. This is joint work with Jean-Francois Lafont and Daniel Thompson. |
Topology