06/10 at 4:30 pm (CEST)
Generic perturbations of mean curvature flows
I will discuss work with O. Chodosh, K. Choi, and F. Schulze on perturbations of mean curvature flows in R^3, near multiplicity-one non-generic singular points, which avoid non-generic singularities. This is our most succinct parabolic analogue for Hardt--Simon's well-known generic regularity theorem for the elliptic area-minimization problem.
28/09 at 4:30 pm (CEST)
A dimension descent scheme for the positive mass theorem in arbitrary dimension
We describe an inductive scheme for proving the positive mass theorem in arbitrary dimension, extending the minimal hypersurface approach pioneered by Schoen and Yau. This is joint work with Yipeng Wang.