Renormalized area, Willmore energy and boundary regularity

Orateur: MAZZEO Rafe
Localisation: Université Stanford, États-Unis
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 0D 01
Date de début: 02/05/2011 - 14:00
Date de fin: 02/05/2011 - 14:00

In previous work with Spyros Alexakis, we considered the renormalized energy of complete properly embedded minimal surfaces in $\mathbb{H}^3$ and proved several structure theorems about it. I will report on that older work as well as our new results showing how control on this renormalized area yields a certain amount of regularity of the asymptotic boundary at infinity.