辛拓扑与物理讨论班——Strong Arnold chord conjecture via normalized capacities
来源:数学科学学院
发布时间:2024-04-10
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报告人:张俊(助理教授,中国科学技术大学–几何与物理研究中心)
时间:2024年4月23日(周二)14:00
地点:海纳苑2幢102室
摘要:In this talk, we will show how to prove the strong Arnold chord conjecture for a large family of star-shaped domains in \R^4, which says that for any Legendrian knot on their contact boundaries, there exists a Reeb chord on the Legendrian knot with distinct endpoints. The proof heavily relies on the recent advances in various equivalences of symplectic capacities on monotone toric domains. A higher-dimensional version for star-shaped domains in \R^{2n} also holds under a technical condition. This talk is based on joint work with Jungsoo Kang.
联系人:吴惟为(wwwu9693@zju.edu.cn)