Geometry, Topology and Dynamics Seminar
Romain Dujardin
Universite de Marne La Vallee
Lyapunov exponents for surface group representations and projective structures
Abstract: In this talk I will describe some numerical quantities associated to a complex projective structure on a hyperbolic Riemann surface (of finite type). One (the Lyapunov exponent) is of probabilistic/dynamical nature, while the other (the degree) is function-theoretic.
In accordance with the famous "Sullivan dictionary", this leads to a description of the space of such projective structures that is reminiscent of that of the space of polynomials in holomorphic dynamics. This is joint work with Bertrand Deroin (Orsay).
Monday October 29, 2012 at 3:00 PM in SEO 636