Past Geometry and Analysis Seminar

27 May 2013
14:15
Martin Bridgeman
Abstract

 Using thermodynamic formalism we introduce a notion of intersection for convex Anosov representations. We produce an Out-invariant Riemannian metric on the smooth points of the deformation  space of convex, irreducible representations of a word hyperbolic group G into SL(m,R) whose Zariski closure contains a generic element. In particular, we produce a mapping class group invariant Riemannian metric on Hitchin components which restricts to the Weil-Petersson metric on the Fuchsian locus. 
This is joint work with R. Canary, F. Labourie and A. Sambarino.

  • Geometry and Analysis Seminar

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