Some Ancient Solutions to General Curvature Flows Sathyanarayanan Rengaswami, University of Tennessee, Knoxville Host: Siddiqur Rahman This is a Zoom talk. The host will send a link soon.
Abstract: The key to understanding geometric flows is to understand what the singularities look like. And the key to understanding singularities is to understand its so-called "ancient solutions". These are the solutions that are defined for all past times. A couple of important examples include translating solutions (ones that evolve under translation) and the "pancake" solutions. A lot of work has gone into understanding particular flows the Mean Curvature Flow, and some others like the Gauss Curvature Flow, Harmonic Mean Curvature Flow etc, and there are both a great deal of similarities and differences among these. We survey the situation in these well-known cases, and investigate translating and pancake solutions in abstract geometric flows. This provides insight on why the various flows behave differently from each other.
To add/edit talks, please log in on the department web page, then return to Announce. Alternatively if you know the Announce
username/password, click the link below: