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Topology/Geometry Seminar

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

Huai-Dong Cao (Lehigh University)

Location:  Hill 705
Date & time: Tuesday, 23 April 2024 at 4:00PM - 5:00PM

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.