Singularity removal rigidity theorem for minimal hypersurfaces with isolated singularities in manifolds of nonnegative scalar curvature

发布者:文明办作者:发布时间:2026-10-15浏览次数:50


主讲人:于浩斌 杭州师范大学副教授


时间:2026年10月16日11:00


地点:徐汇校区三号楼301室


举办单位:数理学院


主讲人介绍:于浩斌,杭州师范大学数学学院副教授,研究方向为几何分析与数学广义相对论。研究成果发表在CPAM,Math. Ann, Math. Z, CVPDE等国际著名学术期刊。


内容介绍:In this talk we will present the “Singularity removal rigidity theorem” for minimal hypersurfaces with isolated singularities in manifolds of nonnegative scalar curvature. In particular, we observe a new phenomenon that the extremal scalar curvature condition forces smoothness, which reveals a kind of positive effect of minimal hypersurface singularities in scalar curvature geometry. As an application, we obtain a direct proof of the positive mass theorem (PMT) for asymptotically flat 8-manifolds with arbitrary ends without using N. Smale's generic regularity theorem. This talk in based on joint work with Shihang He and Prof. Yuguang Shi.