Title: Minimal surfaces near Hardt-Simon surfaces
Abstract: Caffarelli-Hardt-Simon used the minimal surface equation on the Simons cone to generate newer examples of minimal hypersurfaces with isolated singularities. Hardt-Simon proved that every area-minimizing quadratic cone having only an isolated singularity can be approximated by a unique foliation of smooth, area-minimizing hypersurfaces asymptotic to the quadratic cone. In this talk, we shall discuss a recent result where we solve the minimal surface equation on Hardt-Simon foliations and use gluing methods to construct minimal surfaces near quadratic cones.
Gabor Szekelyhidi
Email