Research-The mapping class group of projective-plane-like manifolds

Research

Geometry & Topology Seminar

The mapping class group of projective-plane-like manifolds

Speaker: Yang Su (Academy of Mathematics and Systems Science, CAS)
Time: Oct 10, 2022, 16:20-17:20
Location: Tencent Meeting 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.