Singular Suspension Flows and Infinite Topological Entropy

讲座题目：Singular Suspension Flows and Infinite Topological Entropy

讲座时间 Datetime:2026年9月23日，周三，08：00-11：00

地点 Venue:海琴二号A412-1

主持人 Host：Sergio Romana  副教授

报告人 Speaker: Jonatas Marinho Santos de Araujo 博士

单位 Affiliation:National Institute of Pure and Applied Mathematics - IMPA

报告摘要 Abstract:

We present the theory of continuous singular suspension flows with a focus on entropy theory. The entropy theory in dynamical systems measures how nearby orbits diverge from each other at an exponential rate, which leads to a notion of chaos when this is positive. Regarding this concept, we present old and new results about how the entropy behaves when we insert singularities in the suspension flow, focusing on properties such as the persistence of positivity or infiniteness of the entropy, as well as the genericity or the lack of this persistence. This is a joint work with Sergio Romaña.

报告人简介：

Jonatas Marinho Santos de Araujois a PhD student at the National Institute of Pure and Applied Mathematics (IMPA), Brazil, working in the field of dynamical systems. He is currently a visiting scholar at the School of Mathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with theDynamical Systems Group.