Will give a Graduate Student Geometry Seminar entitled:
Uniqueness in the Plateau problem near Quadratic cones
Abstract: In this talk, we shall consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. In particular, we discuss a recent result where we show that the solutions of the Plateau problem are unique for boundary conditions given by small perturbations of the link of a quadratic cone. Building on previous results, we can characterize these unique surfaces. This is a joint work with Gábor Székelyhidi.
Date: 10-10-2025
Time: 4:00 pm
Location: 258 Hurley Bldg