10-9【盛弘毅】Localized Deformations and Gluing Constructions in General Relativity

发布时间:2025-09-07来源:几何与物理研究中心中文网页浏览次数:12

报告人:盛弘毅西湖大学

时间:2025年10月9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,会议密码:202501


 

Gluing constructions of initial data sets play an important role in general relativity. Earlier in 1979, Schoen-Yau used gluing constructions with conformal deformations as a crucial step in their proof of the famous positive mass theorem. Corvino later refined this approach by introducing localized deformations that preserve the manifold's asymptotic structure.

In this talk, I will survey recent theorems on localized deformation and their applications regarding rigidity and non-rigidity type results. I then outline extensions of these results to manifolds with boundary, including asymptotically flat regions outside black-hole horizons, and conclude with a brief discussion of the analytic challenges that arise in this boundary setting.


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