报告学者：张一岳

报告者单位：北京雁栖湖应用数学研究院

报告时间：2025/05/21  2:00-3:00 pm

报告地点：SY203

报告摘要：Schoen-Yau and Witten demonstrated that the total mass m of asymptotically flat initial data sets(IDS) in general relativity are non-negative. Combining spinorial methods with spacetime harmonic functions, we prove that if m=0, the IDS must embed into a pp-wave spacetime. This resolves the rigidity conjecture for the spacetime positive mass theorem on spin manifolds in all dimensions. Furthermore, adapting these techniques to the hyperboloidal setting, we establish that asymptotically hyperboloidal IDS with zero mass must embed isometrically into Minkowski space, contrasting with the asymptotically flat case. It is joint work with Sven Hirsch and Hyun Chul Jang.

报告学者简介：张一岳，现为北京雁栖湖应用数学研究院助理研究员。 2021年获Duke University博士学位，博士导师是Hubert Bray。2021年到2024年在加州大学欧文分校做博士后，博士后合作导师Richard Schoen。 其研究方向是几何分析和广义相对论，目前主要研究对象是数量曲率和正质量定理。相关结果在国际期刊Adv., Math. Ann., IMRN等杂志上。