## Renormalized area, Willmore energy and boundary regularity

Type:
Site:
Date:
02/05/2011 - 14:00
Salle:
0D 01
Orateur:
MAZZEO Rafe
Localisation:
Université Stanford
Localisation:
États-Unis
Résumé:

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.