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题目：On the Mapping Class Groups of Certain High Dimensional Manifolds

报告人：王慰 副教授（上海海洋大学）

地点：致远楼101室

时间：2021年04月14日 16：30-17:30

摘要：Let M be a compact smooth oriented manifold. The set of isotopy classes of orientation-preserving self-diffeomorphism of M is a group through composition of maps, which is called the mapping class group of M. In this talk, we mainly concern with the mapping class groups of high dimensional manifolds. This talk divides into three parts. In the first part, we will recall some basic definitions and propositions of mapping class groups of high dimensional manifolds. In the second part, we will discuss the calculations of the mapping class groups of standard spheres, exotic spheres and product of spheres. In the third part, we will say something about the mapping class groups of HP2-like manifolds. This work is joint with Yang Su.

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