Survey on stability of the positive mass theorem

2022-02-04 09:30 - 10:30

Member Seminar

Speaker: Dan Lee

Title: Survey on stability of the positive mass theorem

Abstract: The Riemannian positive mass theorem states that a complete asymptotically flat manifold with nonnegative scalar curvature must have nonnegative ADM mass. This inequality comes with a rigidity statement that says that if the mass is zero, then the manifold must be Euclidean space. This naturally leads to the question of stability. In this talk, I will discuss various results related to this question.