Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Pleated surfaces in PSL_d(C)

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