报 告 人：赵建杰 博士
报告题目：Sequence equicontinuity, sequence complexity and rigidity in uniform spaces
报告时间：2023年6月3日（周六）下午15：00-15：40
报告地点：泉山9#1508
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
赵建杰，2021年博士毕业于中国科学技术大学，现任杭州师范大学数学学院讲师，主要从事拓扑动力系统以及遍历理论方面的研究。具体包括动力系统的复杂性和回复性相关问题的研究，在J. Dynam. Differential Equations, Ergodic Theory Dynam. Systems, Discrete Contin. Dyn. Syst., J. Anal. Math. 以及 Acta Math. Sin. (Engl. Ser.)等期刊上发表文章多篇。
报告摘要：
In this talk, we introduce the concepts of sequence equicontinuity, weakly sequence equicontinuity, sequence complexity and weakly sequence complexity in uniform spaces and show some relationships between them and uniformly rigidity. In particular, we show that a dynamical system $(X, G)$ defined on a compact Hausdorff uniform space is uniformly rigid if and only if it is weakly sequence equicontinuous if and only if it has bounded weakly sequence complexity, which extends some results of Qiu, Wei and Xu to uniform space.