Convex Anosov representations, Intersection and the Pressure Metric- Francois Labourie

Conference Title: GEAR Retreat 2012 Theme: Special Representations (1 of 5) Title: Convex Anosov representations, Intersection and the Pressure Metric Speaker: François Labourie, Univ. Paris-Sud; Date and Time: Monday August 6, 09:30 Description: In this talk, I will discuss convex Anosov representations which form an easily defined, although fairly general, case of Anosov representations. I will then explain how the thermodynamic formalism work in this context and in particular prove analyticity of entropy. Using the concept of intersection and the pressure metric, I will define a Riemannian metric on the deformation space of convex Anosov representations. This is a joint work with Martin Bridgeman, Dick Canary and Andres Sambarino. Sponsor: GEAR Network Local host: UIUC Department of Mathematics Funding provided by: National Science Foundation Research Networks in Mathematical Sciences programAbstract: Prof. François Labourie, in this GEAR Retreat 2012 session on Special Representations, will discuss convex Anosov representations, the concept of intersection and the pressure metric, and other related topics.