Domains of discontinuity for Anosov representations

Geometry & Topology
Event time: 
Tuesday, October 25, 2022 - 4:15pm
LOM 214
Daniele Alessandrini
Speaker affiliation: 
Columbia University
Event description: 

The parameter spaces of Anosov representations can usually be seen as deformation spaces of parabolic geometric structures on some closed manifolds, this is due to Guichard-Wienhard and Kapovich-Leeb-Porti. A particularly interesting case is given by the Higher Teichm├╝ller Spaces, spaces that generalize the classical Teichm├╝ller spaces for higher rank Lie groups.

In this talk we will present a general structure theorem about the topology of such closed manifolds, and we will describe this topology explicitly in some interesting cases. This is based on a joint work with Colin Davalo and Qiongling Li, and a joint work with Sara Maloni, Nicolas Tholozan and Anna Wienhard.