Ben Chow (UCSD)

 Title: Ricci Flow and Fukaya Theory in Dimension Three

 Abstract: We consider collapsing sequences of solutions to the 
 Ricci flow on 3-manifolds with almost nonnegative curvature. 
 Such sequences may arise from dilating about infinite time 
 singularities. For finite time singularities no collapse can 
 occur by a result Perelman. Using Fukaya theory, we study
 some geometric (not topological) aspects of such collapse. 
 When the limit solution is 1-dimensional we construct a virtual 
 2-dimensional rotationally symmetric limit. This is joint work 
 with David Glickenstein and Peng Lu.