EVENT DETAILS AND ABSTRACT

Title: Asymptotic rigidity of noncompact shrinking gradient Ricci solitons
Speaker: Brett Kotschwar
Speaker Info: Arizona State University
Brief Description:
Special Note:
Abstract:

Shrinking gradient Ricci solitons (shrinkers) are generalized fixed points of the Ricci flow equation and models for the geometry of a solution in the neighborhood of a developing singularity. At present, all known examples of complete noncompact shrinkers are either asymptotic to a regular cone at infinity or are locally reducible as products, and it is conjectured that, at least in four dimensions, these are the only possibilities. I will discuss some recent results in this direction obtained in part with Lu Wang in which we approach the classification of shrinkers by their asymptotic geometry as a problem of parabolic unique continuation.