Singularities of minimal hypersurfaces

This is a reading seminar (not a regular lecture) on geometric measure theory: the participants will be asked to contribute a talk related to the topic of the seminar.

As for the content, the aim of this seminar is to provide an introduction to the striking recent results on the rectifiability of the singular set of minimal hypersurfaces proven by Naber and Valtorta (see arXiv:1504.02043 and arXiv:1505.03428). A preliminary list of topics which will be covered is the following:

• Monotonicity formula;
• Stratification of singularities;
• Minimality of Simons' cone;
• Introduction to the rectifiability of the singular set.

Date and time info
Thursday 09:00 - 11:00

Keywords
Geometric Measure Theory, Minimal Surfaces, Singularities, Rectifiability

Prerequisites
Basic knowledge on measure theory and mathematical analysis

Audience
PhD students, Postdocs

Language
English