Speaker
Fanny Kassel
(IHES)
Description
Higher Teichmüller theory studies connected components consisting entirely of discrete and faithful representations inside $G$-character varieties of closed surface groups, where $G$ is a higher-rank real semisimple Lie group. We prove that such connected components also exist for fundamental groups of higher-dimensional closed manifolds when $G = \mathrm{SO}(p,q+1)$; the corresponding representations are $\mathbb{H}^{p,q}$-convex cocompact where $\mathbb{H}^{p,q}$ is the pseudo-Riemannian analogue of the real hyperbolic space in signature $(p,q)$. This is joint work with J. Beyrer.
