Einstein manifolds and symmetry
Organizers
Kotaro Kawai
, Chao Qian
Speaker
Ramiro Lafuente
Time
Wednesday, November 2, 2022 4:00 PM - 5:00 PM
Venue
Online
Online
Zoom 559 700 6085
(BIMSA)
Abstract
In this talk we will discuss Einstein manifolds invariant under an isometric Lie group action. Our main goal is to explain the proof of the Alekseevskii conjecture (1975) for homogeneous Einstein spaces of negative Ricci curvature, recently obtained in joint work with C. Böhm (Münster). To that end, we will also present new structure results for Einstein metrics on principal bundles. We will conclude with some open questions and future directions.