报告题目：Persistence modules induced by inner functions

报告人：和佳星讲师长春理工大学

报告时间：2026.11.10 11:00-12:00

报告地点：#腾讯会议：769-392-391

校内联系人：王骁[email protected]

报告摘要：With the increasingly widespread application of topological data analysis, persistent modules, as the algebraic structures that influence the features generated by persistent homology, have achieved successful applications in both theory and practice in recent years.As well-known, inner functions play an important role in the study of bounded analytic function theory. 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.

报告人简介：

和佳星，长春理工大学讲师，主要研究方向为拓扑数据分析，近年来在Japan Journal of Industrial and Applied Mathematics等国内外期刊发表多篇学术论文。