# Geometric Analysis and Topology Seminar

#### Ricci Flow Through Singularities

**Speaker:**
Bruce Kleiner, NYU

**Location:**
Warren Weaver Hall 517

**Date:**
Friday, April 4, 2014, 11 a.m.

**Synopsis:**

It has been a long-standing problem in geometric analysis to find a good definition of generalized solutions to the Ricci flow equation that would formalize the heuristic idea of flowing through singularities. I will discuss a notion in the 3-d case that has good analytical properties, enabling one to prove existence and compactness of solutions, as well as a number of structural results. It may also be used to partly address a question of Perelman concerning the convergence of Ricci flow with surgery to a canonical flow through singularities. This is joint work with John Lott.