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Seminar

DMS Research Seminar: Eigenvalues and entropy of a Hitchin representation. February 26, 2015 (10:00 AM PST - 12:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie))
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The purpose of the talk is to show that the critical exponent of a representation in the Hitchin component has a rigid upper bound. The method applies also to different situations, in particular we will give a new proof of a Theorem of Crampon: If M is a closed strictly convex projective manifold, then the topological entropy of the geodesic flow for the Hilbert metric is bounded above by dim M-1. This is a joint work with Rafael Potrie.

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