Geometry & Topology Seminar: Domains of discontinuity for Anosov representations

Abstract: We consider geometric structures on closed manifolds that are modeled over generalized flag manifolds, for example real or complex projective structures. We know that some manifolds admit a large deformation space of geometric structures, this can be seen from the theory of Anosov representations. A particularly interesting case comes from the Higher Teichm\"uller Spaces, spaces that generalize the classical Teichm\"uller 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.

Host: Parker Evans