3-31【祝安铜】Geometry and Dynamics on Liouville Domains in the Cotangent Bundle of the 2-Torus

发布时间:2026-03-18来源:几何与物理研究中心中文网页浏览次数:10

报告人:祝安铜中国科学技术大学

时间:2026年3月31日10:00-11:00

地点:物质科研楼C1124


  

In this talk, we present our recent work on developing a framework of subclasses for Liouville domains in the cotangent bundle of the 2-torus, in analogy with the study of toric domains, symplectically convex domains, and dynamically convex domains in Euclidean space. By exploiting the natural connection between this framework and the Euclidean setting, we obtain the large-scale geometry of Liouville domains in the cotangent bundle of the 2-torus with respect to the coarse Banach-Mazur distance. Moreover, we establish the coincidence of normalized symplectic capacities for a broad class of Liouville domains in the cotangent bundle of the 2-torus. This is joint work with Jun Zhang.