Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Pleated surfaces in PSL_d(C)
Nov 4, 2022, 1:30 - 2:30 PM
Speaker: Sara Maloni, UVA
Title: Pleated surfaces in PSL_d(C)
Abstract: Pleated surfaces are an important tool introduced by Thurston to study hyperbolic 3-manifolds and can be described as piecewise totally geodesic surfaces, bent along a geodesic lamination lambda. Bonahon generalized this notion to representations of surface groups in PSL_2(C) and described a holomorphic parametrization of the resulting open charts of the character variety in term of shear-bend cocycles.
In this talk I will discuss joint work with Martone, Mazzoli and Zhang, where we generalize this theory to representations in PSL_d(C). In particular, I will discuss the notion of d-pleated surfaces, and their holomorphic parametrization.
Time: Friday, November 4, 2022, 1:30pm – 2:30pm
Place: Exploratory Hall, room 4106