Bounds on renormalized volume for Schottky manifolds

Geometry & Topology
Event time: 
Tuesday, September 10, 2019 - 4:15pm
DL 431
Franco Vargas Pallete
Speaker affiliation: 
Event description: 

During the talk I will introduce renormalized volume for convex co-compact hyperbolic 3-manifolds and will also describe bounds for Schottky manifolds in term of extremal lengths in the conformal surface at infinity. This will be used to partially answer a question by Maldacena about comparing renormalized volume for Schottky and Fuchsian manifolds with the same conformal boundaries.