Mean curvature flow of generic initial data

Thursday, 17 September, 2020 - 10:00 - 11:00
Seminar Type: 
MATH-IMS Joint Pure Mathematics Colloquium Series
Speaker Name: 
Prof. Otis CHODOSH
Stanford University

Mean curvature flow is the analogue of the heat equation in extrinsic differential geometry. Because mean curvature flow is nonlinear, there are necessarily singularities. In general, the singular behavior of the flow could be extremely complicated and is not well understood. I will discuss recent work with K. Choi, C. Mantoulidis, and F. Schulze concerning the mean curvature flow of a “generic” initial surface. In particular, we show that certain singularities do not arise in the case of a generic initial surface.