BIMSA > BIMSA General Relativity Seminar BIMSA General Relativity Seminar Rigidity of the spacetime positive mass theorem with electromagnetic fields
Rigidity of the spacetime positive mass theorem with electromagnetic fields
Organizers
Piotr Chrusciel , Puskar Mondal , Bowen Zhao
Speaker
Yiyue Zhang
Time
Tuesday, September 22, 2026 4:30 PM - 5:30 PM
Venue
Tsinghua-Jingzhai-105
Online
Zoom 712 322 9571 (BIMSA)
Abstract
Given any initial data set satisfying the charged dominant energy condition and saturating the mass–charge inequality, we show that it embeds into a Majumdar–Papapetrou spacetime. The proof uses the degree of the Tod map to turn the possible null degeneration of the associated spinorial current into a topological obstruction. The main idea of the proof was suggested by GPT.
Speaker Intro
I am interested in geometric analysis and general relativity. More specifically, I am working on problems related to scalar curvature and geometric problems from physics. I enjoy applying the tools from PDEs, especially elliptic PDEs, to study geometry.