Positive mass theorems on singular spaces and some applications

2025-04-07 09:08:44

时间:2025年4月9日(星期三),9:00-12:00

Tencent Meeting:409 9581 4561

Password: 583483


主持人:Jintian Zhu, ITS

主讲人:Shihang He, Peking University

报告主题:Positive mass theorems on singular spaces and some applications

报告摘要:We establish positive mass theorems on singular spaces under the assumption that the scalar curvature is nonnegative in the strong spectral sense. As an application, we obtain desingularization results for strongly stable minimal hypersurfaces in asymptotically flat (AF) 8-manifolds. These results reveal certain positive effect of the minimal hypersurface singularities in scalar curvature geometry, which also leads to an alternative proof of the positive mass theorem in dimension 8. This is joint work with Professors Yuguang Shi and Haobin Yu.