Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	黄红
Inviter:	简旺键
Title:	The topology of Riemannian manifolds with positive isotropic curvature
Language:	Chinese
Time & Venue:	2024.03.08 09:00-10:00 腾讯会议：866-1301-8136
Abstract:	The notion of positive isotropic curvature was introduced by Micallef-Moore their 1988 Annals of Mathematics paper. Since then this curvature condition as been extensively studied. In this series of three talks I’ll first explain some basic properties related to this curvature condition. Then I’ll survey some of the previous works of various authors on Riemannian manifolds with positive isotropic curvature, including those by Brendle, Chen-Tang-Zhu, Chen-Zhu, Fraser, Hamilton et al.. Finally I’ll introduce my recent work on the topological classification of compact manifolds of dimension n ≥ 12 with positive isotropic curvature, which uses Ricci flow with surgery on orbifolds incorporating techniques from differential topology, and is based on Simon Brendle’s crucial curvature pinching estimates.