报告人：张强 博士（西安交通大学）

时间：2019年11月19日下午3：00-4：30

地点：数学系实验室

摘要： A compact polyhedron $X$ is said to have the \emph{Bounded Index Property (BIP)} if there is an integer $\B>0$ such that for any map $f: X\rightarrow X$ and any fixed point class $\F$ of $f$, the index $|\ind(f,\F)|\leq \B$. $X$ has the \emph{Bounded Index Property for Homeomorphisms (BIPH)} if there is such a bound for all homeomorphisms $f:X\rightarrow X$. In 1998, Jiang Boju gave the following question: Does every compact aspherical polyhedron $X$ (i.e. $\pi_i(X)=0$ for all $i>1$) have BIP or BIPH? In this talk, we will survey the progress on this question.

报告人简介：张强,男，2008年获北京大学博士学位，现任职于西安交通大学数学与统计学院。主要从事低维拓扑与几何群论的研究，相关工作发表在Algebraic and Geometric Topology、Journal of Algebra、Topology and its Applications等期刊上。