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题目：Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature

报告人：谢明君教授 (Rutgers University)

Abstract:

In this talk, we will discuss the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half PIC) or half nonnegative isotropic curvature. We prove a certain form of curvature estimates for such Ricci shrinkers, including a quadratic curvature lower bound estimate for noncompact ones with half PIC. As a consequence, we classify 4-dimensional complete gradient shrinking Ricci solitons with half nonnegative isotropic curvature, except the half PIC case. We also treat the half PIC case under an additional assumption that the Ricci tensor has an eigenvalue with multiplicity 3. This talk is based on the joint work with Huai-Dong Cao.

报告时间：2023-7-17周一上午10:30-11:30

报告地点：校本部教二楼 613教室

邀请人：戎小春、胥世成