18 mars 2024 à 26 avril 2024
Institut Henri Poincaré
Fuseau horaire Europe/Paris

The renormalized volume of 3-dimensional hyperbolic manifolds

29 mars 2024, 11:00
1h
amphithéâtre Yvonne Choquet-Bruhat (new building (bâtiment Perrin))

amphithéâtre Yvonne Choquet-Bruhat

new building (bâtiment Perrin)

Orateur

Jean-Marc Schlenker (Université du Luxembourg)

Description

Conformally compact Einstein manifolds have infinite volume, but a well-defined notion of renormalized volume, introduced by theoretical physicists. For 3-dimensional hyperbolic manifolds, this notion has interesting relations to other quantities studied by geometers, such as the volume of the convex core and the bending lamination on its boundary. We will describe how the relation between the physics and the mathematics points of view can bring new perspectives on both sides.

Documents de présentation

Aucun document.