报告题目:Isoperimetry for asymptotically flat Riemannian $3$-manifolds with non-negative scalar curvature.
报 告 人:于浩斌 (杭州师范大学大学 讲师)
报告时间:2020年9月22日 15:00开始
报告地点:阳明学院303会议室
报告摘要: Let $(M, g)$ be an asymptotically flat Riemannian $3$-manifold with non-negative scalar curvature and positive mass. We show that each leaf of the canonical foliation of the end of $(M, g)$ through stable constant mean curvature spheres encloses more volume than any other surface of the same area. Our results resolve a question of Gerhard Huisken on the isoperimetric content of the positive mass theorem. This talk is based on joint work with Otis Chodosh, Michael Eichmair and Shi Yuguang.
报告人简介:于浩斌,杭州师范大学讲师。2015年浙江大学博士毕业。2015年至2017年在北京大学进行博士后研究,研究方向为几何分析与数学广义相对论。其相关研究结果发在 Comm. Pure Appl. Math, Math Z, Commun. Contemp. Math.,Proc. Amer. Math. Soc. 等杂志。