Fri, April 25, 2025
4:10 pm - 5:10 pm
Math Tower (MW) 154
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.