5-14【Tsz Kiu Aaron Chow】Rigidity results for initial data sets satisfying the dominant energy condition

发布时间:2026-05-07来源:几何与物理研究中心中文网页浏览次数:10

报告人:Tsz Kiu Aaron Chow(香港科技大学)

时间:2026年5月14日14:30-15:30  

地点:上海研究院新园区1号楼A座1329&腾讯会议:942 663 0176,密码:202501


  

In this talk, I will discuss rigidity theorems for initial data sets (IDS) on compact, smooth spin manifolds with boundary and on compact convex polytopes, both under the dominant energy condition (DEC). For manifolds with smooth boundary, by studying a boundary value problem for Dirac operators, we identify a natural class of smooth manifolds with boundary as extremal cases of IDS satisfying the DEC. For convex polytopes, we extend Gromovs polytope comparison framework for positive scalar curvature, adapting it to IDS satisfying the DEC through approximations by manifolds with smooth boundary. These results are based on joint work with C. Bär, S. Brendle, and B. Hanke.


For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html