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Texas A&M University

Topology Seminar

Date: February 12, 2020

Time: 4:00PM - 5:00PM

Location: BLOC 605AX

Speaker: Filippo Mazzoli, University of Luxembourg


Title: Constant Gaussian curvature surfaces in quasi-Fuchsian manifolds

Abstract: In this talk I will describe how constant Gaussian curvature (CGC) surfaces interpolate the structures of the pleated boundary of the convex core and of the boundary at infinity of a quasi-Fuchsian manifold, and I will present a series of consequences of this phenomenon, such as a description of the renormalized volume in terms of the CGC surfaces foliations, and a generalization of McMullen's Kleinian reciprocity theorem.