中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
拓扑研讨班
Speaker: 虎腾霖 （中国科学院数学与系统科学研究院）
Inviter: 苏阳
Language: Chinese
Title：On the mapping class group of 2-sphere bundles over the complex projective plane
Time&Venue：2025年12月10日 (星期三）14:30 - 15:30 & 南楼 N820
Abstract： Mapping class groups of smooth manifolds are important objects in geometric topology. In this talk, I will introduce some of my recent progress on the computation of the mapping class groups of the total spaces of a class of 2-sphere bundles over the complex projective plane. In particular, these include some smooth divisors in the product of two complex projective planes as such the Milnor hypersurface. Our strategy is a combination of homotopy theory and surgery theory.