##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Yucheng Tu

#### UCSD

## A Regularity Theorem of Minimal Sets - Part II

##### Abstract:

In this talk I will try to prove De Giorgiâ€™s Theorem on the regularity of minimal Caccioppoli Sets(Theorem 8.4). He used a measure theoretic method closely related to properties of function of bounded variation, which is technical and powerful. I will focus on Chapter 5-8 in E. Giustiâ€™s book. It is based on M. Mirandaâ€™s simplification of De Giorgiâ€™s original proof. This will be a continuation of the talk given on September 9th.

Organizer: Lei Ni

### September 16, 2016

### 10:00 AM

### AP&M 5829

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