Presented by: 
Miles Simon, Otto-von-Guericke-Universität, Magdeburg
Tue 1 Apr, 3:00 pm - 4:00 pm
Room 442, Building 67

In all dimensions G. Perelman proved the following. If an open ball contained in a manifold is 'almost Euclidean', then one can prove estimates on how compactly contained subregions of this ball evolve  under Ricci flow.

We generalise this result in two dimensions to regions which are not necessarily almost Euclidean. The estimates we obtain depend on the infimum of the curvature within the ball at time zero and the volume of the ball at time zero.