Nonlinear Partial Differential Equations

Date: April 4, 2023

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Christos Mantoulidis, Rice University

Title: Generic regularity of minimizing hypersurfaces in dimensions 9 and 10

Abstract: In joint work with Otis Chodosh and Felix Schulze we showed that the problem of finding a least-area compact hypersurface with prescribed boundary or homology class has a smooth solution for generic data in dimensions 9 and 10. In this talk I will explain the main ideas in the proof.