Special Colloquium
Dan Knopf
University of Texas at Austin
Local singularities of Ricci flow
Abstract: In applications of Ricci flow, one evolves a Riemannian metric
g(t) on a manifold M to improve its geometry. This evolution often
forces changes in topology, changes that are triggered by singularity
formation. The most interesting are local singularities, in which the
metric remains regular on an open subset of the manifold. In these
cases, an adequate understanding of the geometry in a space-time
neighborhood of the singularity enables one to perform
topological-geometric surgeries. I will introduce the subject and
describe aspects of a program with Sigurd Angenent in which we obtain
precise asymptotic expansions for local singularities. The talk will be
suitable for a general audience.
Friday January 19, 2007 at 3:00 PM in SEO 636