EVENT DETAILS AND ABSTRACT

Title: A measure of maximal entropy for geodesic flows of nonstrictly convex Hilbert geometries
Speaker: Harrison Bray
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

Strictly convex Hilbert geometries naturally generalize constant negatively curved Riemannian geometries, and the geodesic flow on quotients has been well-studied by Benoist, Crampon, Marquis, and others. In contrast, nonstrictly convex Hilbert geometries in three dimensions have the feel of nonpositive curvature, but also have a fascinating geometric irregularity which forces the geodesic flow to avoid direct application of existing nonuniformly hyperbolic theory. In this talk, we present a geometric approach to studying the geodesic flow of compact quotients in the setting of nonstrictly convex Hilbert geometries in dimension three.