GAMP-seminar: Existence and regularity of free boundary minimal surfaces

Speaker: Martin Li (The Chinese University of Hong Kong)

Title: Existence and regularity of free boundary minimal surfaces

Abstract: Free boundary minimal surfaces are critical points to the area functional for Riemannian manifolds with boundary. Recently, there have been substantial progress concerning the existence and regularity of free boundary minimal surfaces since the seminal work of Fraser and Schoen on Steklov eigenvalue problems. In this talk, we will survey on some of the new constructions of free boundary minimal surfaces via min-max theory and gluing techniques, including some joint work with X. Zhou and N. Kapouleas.