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NCTS Differential Geometry Seminar
 
10:30 - 11:30, October 20, 2025 (Monday)
Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
Monotonicity of Causal Killing Vectors and Geometry of ADM Mass Minimizers
Lan-Hsuan Huang (University of Connecticut)

Abstract
We present recent results on ADM mass–minimizing initial data sets: first, the equality case of the positive mass theorem, and second, Bartnik’s stationary vacuum conjecture arising from his quasi-local mass program. 
A key new ingredient is a monotonicity formula for the Lorentzian length of a causal Killing vector field. This is joint work with Sven Hirsch.
 
Meeting number (access code): 2517 720 2945
Meeting password: 8GPgzRWh2m4
 
Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)


 

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