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Geometric Analysis Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Everitt Laboratory 2101
Virtual
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Date
Feb 4, 2025   3:30 pm  
Speaker
Pei-Ken Hung (Illinois)
Contact
Pierre Albin, Eric Chen, Pei-Ken Hung, Gabriele La Nave
E-Mail
palbin@illinois.edu, ecchen@illinois.edu, pkhung@illinois.edu, lanave@illinois.edu
Views
41
Originating Calendar
Geometric Analysis Seminars

Title: On the Horowitz-Myers conjecture

Abstract: In 1998 Horowitz and Myers constructed a static manifold with a toroidal infinity, later referred as the Horowitz-Myers geon. They further conjectured that the Horowitz-Myers geon minimizes the mass among manifolds with same asymptotics and the scalar curvature lower bounds. In this talk, I will discuss a joint work with Simon Brendle, in which we confirm this conjecture.

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