EVENT DETAILS AND ABSTRACT

Title: Symplectic Anosov Structures on Riemann surfaces
Speaker: Anna Wienhard
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Homomorphisms of the fundamental group of a Riemann surface into Sp(2n,R) parametrize symplectic vector bundles on the surface. For special connected components of the of homomorphisms one can construct a (geodesic flow invariant) splitting of the symplectic vector bundle into two Lagrangian subbundles. I will explain the construction and how contraction/expansion properties of these subbundles can be applied to obtain geometric information about the homomorphisms and the dynamics of the mapping class group action on this subset of homomorphisms.