南方科技大学 // 数学系 // 学术会议 English

Geometry & Topology Seminar

1970/01/01-1970/01/01

On the classification of certain 1-connected 7-manifolds

Abstract


The classification of manifolds is a basic and important problem in topology. In this talk, I will focus on 1-connected 7-manifolds with special homology groups or cohomology rings and report some previous work along with my progress on their classification. I will also present some interesting applications of these classification results in geometry.