Apr 23

Title: Four-dimensional gradient Ricci solitons with nonnegative (or half nonnegative) isotropic curvature.

Speaker: Huai-Dong Cao (Lehigh University)

Abstract: Ricci solitons, introduced by R. Hamilton in the mid-80s, are self-similar solutions to the Ricci flow and natural extensions of Einstein manifolds. They often arise as singularity models and hence play a significant role in the study of Ricci flow. In this talk, I will present some recent progress on geometry and classifications of 4-dimensional gradient Ricci solitons with nonnegative, or half nonnegative, isotropic curvature.  This is a joint work with Junming Xie.