Geometry Seminar

Date: February 16, 2018

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Sara Maloni, University of Virginia

Title: The geometry of quasi-Hitchin symplectic Anosov representations

Abstract: In this talk we will focus on our joint work in progress with Daniele Alessandrini and Anna Wienhard about quasi-Hitchin representations in Sp(4,C), which are deformations of Fuchsian representations which remain Anosov. These representations acts on the space Lag(C^4) of complex lagrangian subspaces of C^4. We will show that the quotient of the domain of discontinuity for this action is a fiber bundle over the surface and we will describe the fiber. In particular, we will describe how the projection map comes from an interesting parametrization of Lag(C^4) as the space of regular ideal hyperbolic tetrahedra and their degenerations.