3 problems

Dafermos–Holzegel conjecture. There are no static, globally regular asymptotically locally AdS solutions to the five-dimensional Einstein vacuum equations with topology…

Clarkson–Mann conjecture. The mass satisfies

Dafermos–Holzegel conjecture. Small perturbations of Eguchi-Hanson-AdS spacetimes have a Penrose diagram as depicted in Figure. Moreover, $\mathcal I$ is future incomplete.