应兰州大学数学与统计学院邀请，上海数学与交叉学科研究院马国瑞博士将于2026年6月18日-21日访问兰州大学并作学术报告。

报告题目: Superintegrable Poisson Chains in Lie Theory and Magnetic Homogeneous Spaces

报告时间：2026年6月19日下午2：30-3：30

报告地址：理工楼631

摘要：This talk introduces superintegrable Poisson chains and explains how they appear in several Lie-theoretic models. We first review the basic ideas of symplectic manifolds, Poisson manifolds, first integrals, and Poisson projection chains. Then we discuss three related constructions: superintegrable chains on the Poisson algebra of a Lie algebra, magnetic geodesic flows on cotangent bundles of homogeneous spaces such as the full flag case and partial flag case, and generalized spin Calogero-Moser systems obtained by Hamiltonian reduction.

A main point of the talk is that superintegrability can be formulated not only on symplectic manifolds, but also on Poisson manifolds or affine Poisson varieties. This viewpoint is important for the construction on the symmetric algebra of a Lie algebra, where the phase space is Poisson rather than symplectic. We then explain how the magnetic cotangent-bundle systems and the spin Calogero-Moser reduction systems are related: on a suitable regular locus, their Poisson chains have the same spectral data and can be regarded as equivalent descriptions of the same superintegrable structure. The talk ends with possible future directions, including singular loci, quantization, and broader Lie-theoretic examples.

报告人简介

马国瑞，上海数学与交叉学科研究院博士后；2023年在清华大学获得博士学位，指导老师丘成栋教授；2023年7月-2025年7月，在清华大学做博士后，合作导师Nicolai Reshetikhin教授。目前关注可积系统与超可积系统以及代数几何与复几何中的奇点理论的研究。

甘肃省计算数学基础学科研究中心

数学与统计学院

萃英学院

2026年6月16日