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——首都师范大学77779193永利官网建校70周年系列学术活动

动力系统讨论班

题目：  Positive Scalar Curvature: Existence and Rigidity

报告人：邓嘉龙 博士（清华大学）

Abstract： 

The scalar curvature of a Riemannian metric is interesting not only in analysis, geometry, and topology, but also in physics. Enlargeable Length-structures will be introduced and showed that it is a new obstruction to the existence of a Riemannian metric with positive scalar curvature (PSC-metric). Thus, the connected sum of a closed manifold with some of locally CAT(0)-manifolds carry not PSC-metrics. We will also show that almost non-positive curved manifolds carry no PSC-metrics.  On the other hand, harmonic maps with condition C will be used to show the rigidity theorem about the scalar curvature.

时间：2023年11月8日（周三）上午9:30-10:30

地点：首都师范大学本部新教二楼510教室

联系人：孙善忠