##### Department of Mathematics,

University of California San Diego

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### Geometry Seminar, Math 258

## Michele Caselli

#### Scuola Normale Superiore, Pisa

## Geometric features of fractional minimal surfaces and their generalization to higher codimension

##### Abstract:

In this talk, I will explain why fractional (or nonlocal) minimal surfaces are ideal objects to which min-max methods can be applied on Riemannian manifolds. After a short introduction about these objects and how they approximate minimal surfaces, I will present a vision for the future on how to generalize this setting to higher codimension.

Hosts: Luca Spolaor & Davide Parise

### May 23, 2024

### 11:00 AM

APM 5829

Research Areas

Differential Equations Geometric Analysis Geometry and Topology****************************