Compactness analysis for minimal hypersurfaces

Orateur: SHARP Ben
Localisation: Université de Leeds, Royaume-Uni
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 2015
Date de début: 26/03/2018 - 13:30
Date de fin: 26/03/2018 - 14:30

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.