时间：2022年12月2日（周五）16:00-17:00
地点：西湖大学云谷校区E4-233 & ZOOM
ZOOM ID: 823 3635 2644
密码: 478039
主持人: 理论科学研究院 古星博士
主讲人: 南方科技大学 李鹏程博士
主讲人简介： Pengcheng Li is a Postdoc researcher at the Southern University of Science and Technology, Shenzhen, China. In June 2020, He received his Ph.D. from the Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences under the supervision of Professor Jianzhong PAN. His research interests are in algebraic topology, in particular the unstable homotopy theory of (n-1)-connected (n+2)-dimensional finite CW-complexes and its applications to geometry and physics.
讲座主题：Suspension Homotopy of $4$-manifolds
讲座摘要:
In this talk we determine the homotopy type of the (double) suspension of a closed, smooth, connected, orientable $4$-manifold $M$, whose integral homology groups can have $2$-torsion.
This gives a complete solution to a prior research problem of So and Theriault.
Moreover, the decomposition results are applied to give a characterization of the second $2$-local cohomotopy set $\pi^2(M;\mathbb{Z}_{(2)})$, which is the set of homotopy classes of based maps from $M$ into the $2$-local sphere $S^2_{(2)}$.
