[Binghamton Geometry/Topology Seminar] Geometry/Topology Seminar

[Christoforos Neofytidis]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

   Date: Thursday, November 17th, 2016

   Time: 2.50 pm

   Place: Whitney Hall, Room 100E

   Speaker: Todd Fisher (Brigham Young University)

   Title: Unique equilibrium states for geodesic flows in nonpositive
curvature

Abstract: The geodesic flow for a compact Riemannian manifold with
negative curvature has a unique equilibrium state for every Holder
continuous potential function. This is no longer true if the curvature is
only nonpositive. We show that there is a large class of potentials with
unique equilibrium states. Specifically, we prove that for compact rank 1
surfaces of nonpositive curvature that the a scalar times geometric
potential has a unique equilibrium state for the scalar less than 1.
Furthermore, if a potential satisfies a bounded range hypothesis for
compact rank 1 manifolds with nonpositive curvature, then there will be a
unique equilibrium state. This is joint work with Keith Burns, Vaughn
Climenhaga, and Dan Thompson.

NOTE:  The seminar has a webpage where the semester's program is listed:

http://www2.math.binghamton.edu/p/seminars/topsem