The geometry of quasi-Hitchin symplectic Anosov representations

Jeudi 11 janvier 14:00-15:00 - Sara Maloni - University of Virginia

Résumé : 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.

Lieu : IMO, salle 2L8

Notes de dernières minutes : Café culturel assuré à 13h par Daniel Monclair

The geometry of quasi-Hitchin symplectic Anosov representations  Version PDF