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.