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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Administration
Academic Support
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
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Events
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Forum
Life @ BIMSA
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Transportation
Facilities
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News
News
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > 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
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.
Beijing Institute of Mathematical Sciences and Applications
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