Abstract: The seminar will start with the definition of what is mean curvature flow of a closed hypersurface, illustrated with some basic examples. Next, I will recall the variational nature of the flow and some of the main well-known results, such as Grayson theorem for the evolution of plane curves, and Huisken convexity preserving theorem. At the end of the seminar, some more advanced topics will be mentioned.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 firstname.lastname@example.org