活動(dòng)名稱(chēng)：內(nèi)函數(shù)誘導(dǎo)的Persistence模
時(shí) 間：2026年3月27日16:30-17:10
地 點(diǎn)：重慶國(guó)家應(yīng)用數(shù)學(xué)中心 308
主講 人：侯秉喆 教授
主辦單位：數(shù)學(xué)科學(xué)學(xué)院
主講人簡(jiǎn)介：
侯秉喆，吉林大學(xué)數(shù)學(xué)學(xué)院教授，主要研究方向?yàn)橥負(fù)渑c拓?fù)鋭?dòng)力系統(tǒng)、算子理論與算子代數(shù)等，在Sci China Math., JGP, JOT, PAMS等知名學(xué)術(shù)期刊發(fā)表論文四十余篇.
活動(dòng)簡(jiǎn)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.
