江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：Two irrationally elliptic closed Reeb orbits on the boundary of star-shaped domain
报告专家：李筱睿 博士，山东大学
报告时间：2026年6月15日10:00-11:00
报告地点：数学学院A321
摘 要：There are two long-standing conjectures in Hamiltonian dynamics concerning Reeb flows on the boundaries of star-shaped domains. One conjecture states that such a Reeb flow possesses either $n$ or infinitely many prime closed orbits; the other states that all the closed Reeb orbits are irrationally elliptic when the domain is convex and the flow possesses finitely many prime closed orbits. In this talk, we show that for dynamically convex Reeb flow on the boundary of a star-shaped domain in $\mathbb{R}^{2n}$ ($n \geq 2$) with exactly $n$ prime closed orbits, at least two of them must be irrationally elliptic. The main ingredients include iteration theory of Maslov-type indices and descriptions of local Floer-theoretic invariants for certain closed Reeb orbits. This is a joint work with Profs. Hui Liu and Wei Wang.
个人简介：李筱睿，博士毕业于南开大学，随后在武汉大学从事博士后工作。现任山东大学数学学院助理研究员。研究方向为辛几何与哈密顿系统，在JDE，DCDS等知名数学期刊上发表多篇研究成果。
邀请人：赵志豪(zhaozh@cumt.edu.cn)