##### Department of Mathematics,

University of California San Diego

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### MATH 258 - Differential Geometry Seminar

## Guofang Wang

#### Freiburg

## Geometric inequalities for hypersurfaces with boundary

##### Abstract:

This talk is mainly about a new Minkowski formula for hypersurfaces with free boundary or capillary boundary supported on the unit sphere. With it we have classified all stable free boundary CMC hypersurfaces. Using it we have introduced a inverse curvature flow, which is used to prove Alexandrov-Fenchel type inequalities for newly introduced quermassintegrals for free boundary hypersurfaces. At the end we will talk about various generalizations. The talk is based on the joint work with J. Scheuer and C. Xia and other collaborators.

### May 26, 2022

### 11:00 AM

Zoom ID 924 6512 4982

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