Geometric Structures with Quasi-Hitchin Holonomy

Daniele Alessandrini (University of Heidelberg)
I will describe some manifolds admitting parabolic geometric structures whose holonomy is a Hitchin or a Quasi-Hitchin representation. This generalizes the Thurston’s theories of Fuchsian and Quasi-Fuchsian representations to higher rank Lie groups. The results come from a joint work with Qiongling Li and a joint work with Sara Maloni and Anna Wienhard.