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Geometry & Topology

Bounds on renormalized volume for Schottky manifolds

Franco Vargas Pallete
Yale

September 10, 2019 - 4:15pm
DL 431

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.

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