学术报告两则:同调论基础简介 & Finite topologies and p-group actions

编辑: 陈亮君    发布时间:2020-07-21    次点击

报告人:张影教授(苏州大学数学科学学院)

时间:2020年7月23日,14:00-17:00

腾讯会议ID:938 487 658

报告一:同调论基础简介
摘要:我们在较短的时间内简要介绍奇异同调论的基本内容,特别是同调论的Eilenberg–Steenrod公理。适合于低年级研究生。

报告二:
题目:Finite topologies and p-group actions
摘要:Let T(n) denote the number of topologies that can be defined on a finite set of n points, and T0(n) that of T0-topologies. By constructing certain p-group actions on suitable subsets of topologies, we first obtain periodicity of T(n) and that of T0(n) modulo a prime power,
answering unsolved problems in the work of Borevich around 1980. We also obtain recursive relations for T0(n) and T(n) modulo a prime power. This is joint work with Xiangfei Li.

张影教授简介:博士生导师,现任苏州大学数学科学学院院长。


分享到: