Geometry and Topology Seminar

Guichard and Wienhard construct compact manifold admitting projective structures with holonomy in (Quasi)-Hitchin representations of surface group into the Lie group SL(2n,R) or SL(2n,C). In this talk, we study the topology of such manifolds using Higgs bundle techniques. In particular, we focus on representations in a small neighborhood of Fuchsian locus inside the representation variety of SL(2n,R) or SL(2n,C). This is joint work with Daniele Alessandrini.