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

Compactness analysis for minimal hypersurfaces

Site: 
Date: 
26/03/2018 - 13:30 - 14:30
Salle: 
2015
Orateur: 
SHARP Ben
Localisation: 
Université de Leeds
Localisation: 
Royaume-Uni
Résumé: 

We will discuss recent results concerning bubbling analysis and index estimates for minimal hypersurfaces in Riemannian manifolds.

The existence theory guarantees that minimal hypersurfaces exist (Almgren, Pitts, Schoen-Simon) and in most cases that they exist in abundance (Marques-Neves, Marques-Neves-Irie). The results presented here are geared towards understanding the relationship between the Morse index and other geometric-analytic qualities of minimal hypersurfaces (topology, diffeomorphism type, total curvature).

This will contain joint works with Ambrozio, Carlotto and Buzano.