Constant Gaussian curvature surfaces in hyperbolic 3-manifolds
Filippo Mazzoli (University of Virginia)
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 geometrically finite hyperbolic end, and I will present a series of consequences of this phenomenon: a description of the renormalized volume of a quasi-Fuchsian manifold in terms of its CGC-foliation, a characterization of the immersion data of CGC-surfaces of a hyperbolic end as an integral curve of a time-dependent Hamiltonian vector field on the cotangent space to Teichmüller space, and a consequent generalization of McMullen’s Kleinian reciprocity theorem.
differential geometry
Audience: researchers in the topic
Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro
Description: Differential geometry seminar
Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home
| Organizers: | Sébastien Alvarez, François Fillastre*, Andrea Seppi, Graham Smith |
| *contact for this listing |