学术报告(孔诗磊 9.19)

Compact quasi-metric spaces as hyperbolic boundaries

发布人:周妍 发布日期:2019-09-02
主题
Compact quasi-metric spaces as hyperbolic boundaries
活动时间
-
活动地址
数学楼416讲学厅
主讲人
孔诗磊 博士 浙江大学

摘要

For any hyperbolic graph, its hyperbolic boundary equipped with the Gromov distance is known to be a compact quasi-metric space. In this talk, we consider the opposite problem and more. By formulating certain classes of hyperbolic graphs with good properties on geodesics, we show that any given compact quasi-metric space K can be identified with the hyperbolic boundary \partial X of some graph X in these classes, where the key notion \index map" acts as the bridge. The relationship between the doubling property of K and the bounded degree property of X will be discussed. This is a joint work with Ka-Sing Lau and Xiang-Yang Wang.

 

数学学院

2019年9月2日