Time：9:00-10:30, Wednesday, May 28 2025
Tencent Meeting：409 9581 4561
Password: 583483
Host：Jintian Zhu, ITS
Speaker：Yiyue Zhang, BIMSA
Title：Rigidity of the Positive Mass Theorems
Abstract：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.
