We consider closed, convex, ancient, embedded solutions to the curve shortening flow in R^2 and show they have to be either circles or Angenant ovals. In the case of ancient, compact solutions of the Ricci flow on surfaces we show we can not have anything else but the spheres and the Rosenau solution. This is a joint work with Panagiota Daskalopoulos and Richard Hamilton.
Geometry-Topology Seminar
Thursday, March 5, 2009 - 4:30pm
Natasa Sesum
Columbia University and University of Pennsylvania