Geometry and Topology Seminar——The mapping class group and the group of homotopy equivalences of certain 1-connected 6-manifolds
报告人:苏阳(中国科公司数学与系统科学研究院)
时间:2023-12-13 15:10-17:00
地点:智华楼盈不足-109室
Abstract: In this talk we will consider 1-connected 6-manifolds whose homology groups are isomorphic to that of 3-dimensional complex projective space. A classification of these manifolds is a classical theorem in manifold topology. I will describe the mapping class group of this class of manifolds. From this information we can basically determine the group of homotopy equivalences of these manifolds, which was initially studied by homotopy theorists. This is a joint work with M. Kreck.