Time：9:00-12:00, Wednesday, April 9 2025
Tencent Meeting：409 9581 4561
Password: 583483
Host：Jintian Zhu, ITS
Speaker：Shihang He, Peking University
Title：Positive mass theorems on singular spaces and some applications
Abstract：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.
