# Mean curvature flow of two-convex hypersurfaces

Friday, April 13, 2012 -

3:00pm to 4:00pm

We describe recent progress on the mean curvature evolution of smooth, closed, two-convex hypersurfaces in Euclidean space. In this setting, there are two distinct global interpretations of the flow, namely the Huisken-Sinestrari surgery program and the well-known "weak" evolution. We explain the relationship between these two solutions, and present applications of our construction to regularity theory for mean curvature flow.

Speaker:

John Head

Courant Institute

Event Location:

Fine Hall 314