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活动名称：内函数诱导的Persistence模

时 间：2026年3月27日16:30-17:10

地 点：重庆国家应用数学中心 308

主讲 人：侯秉喆 教授

主办单位：数学科学学院

主讲人简介：

侯秉喆，吉林大学数学学院教授，主要研究方向为拓扑与拓扑动力系统、算子理论与算子代数等，在Sci China Math., JGP, JOT, PAMS等知名学术期刊发表论文四十余篇.

活动简介：

As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topological Data Analysis, has received widespread attention. In this talk, we introduce the persistence modules arised from the level sets of inner functions. Some properties of these persistence modules are shown. Furthermore, we demonstrate that the interleaving distance of the persistence modules is continuous with respect to the supremum norm for a class of Blaschke products, which could be used to discuss the path-connectedness of Blaschke products. This work is joint with Jiaxing He, Xiao Wang and Yue Xin.