Geometry & Topology Seminar

The mapping class group of projective-plane-like manifolds

  • 演讲者:Yang Su(中国科学院数学与系统科学研究院)

  • 时间:2022-10-10 16:20-17:20

  • 地点:腾讯会议ID 402-5413-1062

Abstract

A closed simply-connected smooth manifold is projective plane like if its homology groups are the same as the homology groups of a projective plane over the complex numbers, the quaternions or the octonions. A smooth classification of projective-plane-like manifolds in dimension>4 was obtained by Kramer and Stolz in 2007. In a joint work with WANG Wei we computed the mapping class group of these manifolds. In this talk I will give a brief report of this computation.