Title: The Ricci flow and precise asymptotics of a type II singularity on R^2.
Speaker: Professor Natasa Sesum
Speaker Info: Columbia University
I will discuss some convergence results for the Ricci flow on a compact manifold and describe the limiting objects that occur as time approaches infinity. I will also mention the uniqueness issues of the limit and some stability results for Ricci flat metrics (regarding the flow). In the second part of the talk I will show you a connection between the Ricci flow on R^2 and the logarithmic porous medium equation. One can use this relation to describe precise asymptotics for the type II singularity that the flow develops at some finite time T < infinity.Date: Wednesday, January 16, 2008