The geometry of quasi-Hitchin symplectic Anosov representations

Géométrie Dynamique

Salle Duhem M3
Sara Maloni
U. of Virginia
Vendredi, 26 Janvier, 2018 - 10:15 - 11:15

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 act 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.