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BIMSA General Relativity Seminar
BIMSA General Relativity Seminar
Einstein-Vlasov system is large data regime
Einstein-Vlasov system is large data regime
Organizers
Lars Andersson
,
Alejandro Torres-Orjuela
,
Xiaoran Zhang
Speaker
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 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.