Mean curvature flow. Lecture 3

Surgery for mean curvature flow of 2-convex surfaces.
The lecture describes joint work with Carlo Sinestrari on mean curvature flow with surgery for hypersurfaces in Euclidean space, on which the sum of the two smallest principal curvature is positive. We give a classification of such hypersurfaces via the flow and compare these results to the work of Hamilton and Perelman on Ricci-flow.