Speaker: 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 the resolution of the conjecture. The talk is based on joint works with Alaee-Khuri and Brendle.