报告题目：Geometric methods for dynamics: application to optimal filters and control
报 告 人： Damiano Rigo 博士后
所在单位： 吉林大学数学学院
报告时间：2025年12月2日 星期三 上午10:00-11:00
报告地点：伍卓群楼第二报告厅
校内联系人：余永毅 yuyy122@jlu.edu.cn
报告摘要：
Geometric approaches have gained significant attention within the dynamics community due to their versatility, innovative perspective, and the strong theoretical foundations they offer. Among these approaches, the study of symmetries and their consequences plays a central role.
In the first part of this talk, I will introduce a minimum-energy geometric filter and present some related results. For a system described by dynamic and measurement equations affected by noise, a minimum-energy filter consists of a set of dynamic equations designed to estimate the system's state as accurately as possible. The proposed filter is termed geometric because it leverages the structure and tools of Lie groups.
In the second part, I will outline a possible research direction aimed at identifying the most suitable Lie group associated with a given set of dynamic equations. This ongoing investigation emphasizes the role of symmetries in the dynamics. Key tools in this context may include Ado's theorem and the Baker-Campbell-Hausdorff formula. The proposed procedure has potential applications in the study of ordinary and partial differential equations as well as geometric integration.
报告人简介：Damiano Rigo received the B.S. degree in mathematics from the University of Padua, Italy, in 2016 and the M.S. degree in mathematics from the University of Verona, Italy, in 2019. He received the Ph.D. degree in Computer Science at the University of Verona, Italy, in 2023 under the supervision of Prof. Riccardo Muradore. He is currently a postdoc researcher under the supervision of Prof. Wang Chunpeng and Prof. Vladimir Salnikov in a joint project between Jilin University and La Rochelle University. His research interests include symmetry analysis for dynamical systems, Lie group theory, geometric control theory, and their applications.
