学术报告
Equivariant fixed point theory after J. Nielsen
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时间: 2024-03-21
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题目:Equivariant fixed point theory after J. Nielsen
报告人:Peter Wong (Bates College 美国)
摘要:Classical topological fixed point theory is concerned with the fixed point set $Fix f=\{x\in X \mid f(x)=x\}$ of a selfmap $f: X\to X$.The size of $Fix f$ is usually studied using the notion of fixed point classes following the work of J. Nielsen. When $X$ is a $G$-manifold, where $G$ is a finite group, and $f$ is a $G$-map, the set $Fix f$ is also $G$-invariant. We discuss the methods of studying $Fix f$ in the presence of a group action, by means of examples. We will also relate this equivariant theory with other classical problems.
报告时间:3月21日(周四)上午10:00-12:00
报告地点:教二楼 711
联系人:赵学志