BIMSA > BIMSA General Relativity Seminar BIMSA General Relativity Seminar Naked Singular Solutions of Einstein-Yang-Mills System
Naked Singular Solutions of Einstein-Yang-Mills System
Organizers
Piotr Chrusciel , Puskar Mondal , Bowen Zhao
Speaker
Puskar Mondal
Time
Tuesday, November 17, 2026 4:30 PM - 5:30 PM
Venue
Tsinghua-Jingzhai-105
Online
Zoom 712 322 9571 (BIMSA)
Abstract
We construct nontrapped characteristic exteriors for the spherically symmetric Einstein–Yang–Mills system with gauge group SU (2) in the purely magnetic setting. The incoming Yang–Mills potential varies in an open neighborhood of a discretely self-similar reference profile. The Kretschmann scalar diverges at the endpoint, and outgoing radial null rays from regular points of arbitrarily large curvature reach a smooth null infinity. The generators of this boundary have finite future affine length. This answers a question raised by S-T Yau earlier and in joint work with N. Athanasiou and Prof. Yau.
Speaker Intro
Puskar Mondal is currently an assistant professor in BIMSA. He's been a fellow and lecturer at Harvard CMSA of Mathematics (his mentor is Prof. Shing-Tung Yau), and was a Ph.D. student at Yale University, under the supervision of Prof. Vincent Moncrief.