Analysis and Mathematical Physics
The Sigma-Inverse Mean Curvature Flow and the Generalized Penrose Conjecture
The generalized Penrose conjecture for initial data sets satisfying the dominant energy condition asserts that the ADM mass is bounded below by a quantity involving the area of the outermost generalized apparent horizon. In this talk, I will discuss my recent results in two new special cases: when the second fundamental form of the initial data set has vanishing trace-free part, and when it is 2-convex. The main tools are sigma-inverse mean curvature flow and an associated monotonicity formula.
Date & Time
October 06, 2026 | 2:30pm – 3:30pm
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10/06/2026 14:30
10/06/2026 15:30
Analysis and Mathematical Physics
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Topic: The Sigma-Inverse Mean Curvature Flow and the Generalized Penrose Conjecture
Speakers: Conghan Dong, Duke University
More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-84
The generalized Penrose conjecture for initial data sets satisfying
the dominant energy condition asserts that the ADM mass is bounded
below by a quantity involving the area of the outermost generalized
apparent horizon. In this talk, I will discuss my recent results in
two new special cases: when the second fundamental form of the initial
data set has vanishing trace-free part, and when it is 2-convex. The
main tools are sigma-inverse mean curvature flow and an associated
monotonicity formula.
Simonyi 101 and Remote Access
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Location
Simonyi 101 and Remote AccessSpeakers
Conghan Dong, Duke University