Geometry & Topology seminar
Romina Arroyo, McMaster University
“Homogeneous Ricci solitons and the Alekseevskii conjecture in low dimensions”
One of the most important open problems on Einstein homogeneous manifolds is ”Alekseevskii’s conjecture”. This conjecture says that any homogeneous Einstein space of negative scalar curvature is diffeomorphic to a Euclidean space.