Geometry/Topology Seminar
Nathaniel Sagman
University of Luxembourg
Simultaneous uniformization for SL(3,C)
Abstract: Given a closed surface S of genus at least 2, Bers' simultaneous uniformization provides a way to holomorphically associate pairs of oppositely oriented complex structures on S to quasi-Fuchsian hyperbolic 3-manifolds. In this talk, we'll discuss joint work with Christian El Emam in which we give a procedure for holomorphically associating (many, but not all) pairs of Hitchin representations into SL(3,R) to representations to SL(3,C). Along the way, we'll introduce conformal harmonic maps into holomorphic Riemannian symmetric spaces and other related objects.
Wednesday October 2, 2024 at 3:00 PM in 427 SEO