##### Department of Mathematics,

University of California San Diego

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### Joint Differential Geometry Seminar

## Otis Chodosh

## Properties of Allen--Cahn min-max constructions on 3-manifolds

##### Abstract:

I will describe recent joint work with C. Mantoulidis in which we study the properties of bounded Morse index solutions to the Allen--Cahn equation on 3-manifolds. One consequence of our work is that a generic Riemannian 3-manifold contains an embedded minimal surface with Morse index p, for each positive integer p.

Organizers: UCI-UCR-UCSD

### May 8, 2018

### 3:40 PM

### UCR - Surge 284

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