Mean curvature flow in high co-dimension

Mean curvature flow (MCF) is a geometric heat equation where a submanifold evolves to minimize its area. A central problem is to understand the singularities that form and what these imply for the flow. I will talk about joint work with Toby Colding on higher co-dimension MCF, where the flow becomes a complicated system of equations and much less is known.



Massachusetts Institute of Technology


William Minicozzi