April 25, 2025
4:10 pm
-
5:10 pm
Math Tower (MW) 154
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2025-04-25 16:10:00
2025-04-25 17:10:00
Differential Geometry Seminar - Pei-Ken Hung
Pei-Ken HungUniversity of Illinois Urbana-ChampaignTitleOn the Horowitz-Myers conjectureAbstractIn 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.
Math Tower (MW) 154
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2025-04-25 16:10:00
2025-04-25 17:10:00
Differential Geometry Seminar - Pei-Ken Hung
Pei-Ken HungUniversity of Illinois Urbana-ChampaignTitleOn the Horowitz-Myers conjectureAbstractIn 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.
Math Tower (MW) 154
America/New_York
public
Pei-Ken Hung
University of Illinois Urbana-Champaign
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.
