Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Geodesic flow on CAT(-1) spaces

Speaker:  Dave Constantine, Wesleyan University

Title:  Geodesic flow on CAT(-1) spaces

Abstract:  CAT(-1) spaces form a natural metric generalization of Riemannian manifolds with strictly negative curvature. In this talk I'll show how to construct a symbolic coding for the geodesic flow on a compact CAT(-1) space, proving that such a flow is Bernoulli. We'll skip the technical details and focus on the main idea -- why should the CAT(-1) condition allow construction of such a coding? If time permits, I'll say something about what this coding tells us about the dynamics of the geodesic flow.

Time:  Friday, March 24, 1:30pm – 2:30pm

Place:  Exploratory Hall, room 4208