Differential Geometry Seminar: Minimal surfaces via Allen-Cahn

Seminar | November 4 | 3-4 p.m. | 939 Evans Hall

 Christos Mantoulidis, MIT

 Department of Mathematics

We will survey the construction of minimal surfaces (critical points of the area functional) as limits of solutions of the Allen-Cahn equation, $\epsilon ^2 \Delta u = u^3 - u$, with $\epsilon \to 0$. We will focus on Allen-Cahn solutions that arise from min-max constructions, and we'll discuss properties of the corresponding minimal surfaces. Part of this talk is joint work with Otis Chodosh.