Einstein-Vlasov system is large data regime
Organizers
Speaker
Puskar Mondal
Time
Friday, September 19, 2025 4:30 PM - 5:30 PM
Venue
A3-2-301
Online
Zoom 787 662 9899
(BIMSA)
Abstract
We prove a large-data semi-global existence theorem and the dynamical formation of trapped surfaces for the Einstein–massless Vlasov system in $3+1$ dimensions, without any symmetry assumptions, the first study of the kind. The main novelty is the development of a precise commutator calculus adapted to the geometry of the mass-shell of the tangent bundle of the dynamical spacetime, a significant reduction in the necessary elliptic estimates, and an optimal regularity level. This is a joint work with N. Athanasiou and Prof. S-T Yau.
Speaker Intro
Puskar Mondal is currently a postdoctoral fellow at CMSA (dept. of Mathematics) and a lecturer at the Math department at Harvard University. His mentor is Prof. Shing-Tung Yau. Before this, he was a Ph.D. student at Yale university where he worked on Mathematical General Relativity under the supervision of Prof. Vincent Moncrief.