20250110 谢君明 Four-dimensional gradient Ricci solitons with nonnegative (or half nonnegative) isotropic curvature

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

报告人：谢君明（罗格斯大学）

邀请人：张雅山

时间：2025年1月10日13:50-14:50

地点：威廉希尔425

摘要：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, we will present some recent progress on the geometry and classifications of 4-dimensional gradient Ricci solitons with nonnegative, or half nonnegative, isotropic curvature. This talk is based on a joint work with Huai-Dong Cao.