Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

Catenoid estimate and its geometric applications

Site: 
Date: 
04/04/2016 - 14:00 - 15:00
Salle: 
201
Orateur: 
KETOVER Dan
Localisation: 
Imperial college
Localisation: 
Royaume-Uni
Résumé: 

The min-max theory developed in the 80s by Almgren-Pitts allows one to run Morse theory with the area functional on the space of hypersurfaces in a manifold to construct minimal surfaces in great generality. The challenge is to understand the geometry of the minimal surfaces produced this way. I will describe joint work with F.C. Marques and A. Neves where we use a sharp area estimate for catenoids to control the geometry in several settings.