##### Department of Mathematics,

University of California San Diego

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### Math 258: Seminar of Differential Geometry

## Michael Novack

#### UT Austin

## A mesoscale flatness criterion and its application to exterior isoperimetry

##### Abstract:

We introduce a "mesoscale flatness criterion" for hypersurfaces with bounded mean curvature, discussing its relation to and differences with classical blow-up and blow-down theorems, and then we exploit this tool for a complete resolution of relative isoperimetric sets with large volume in the exterior of a compact obstacle. This is joint work with Francesco Maggi (UT Austin).

Host: Lei Ni

### October 6, 2022

### 11:00 AM

APM 7321

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