The Alekseevskii conjecture

Academic or specialist Colloquium / Congress / Forum

We will report on recent progress towards the classification of
homogeneous Einstein metrics. While homogeneous Ricci-flat spaces are flat,
homogeneous Einstein spaces with negative Einstein constant are
to a Euclidean space, as predicted by the Alekseevskii conjecture. If
time permits we
will indicate some ideas of the proof. The classification of homogeneous
Einstein spaces
with positive Einstein constant is wide open, even though there are
general existence and
non-existence results.

When? 13.12.2022 17:15
Where? PER 08 2.52
Chemin du Musée 3
1700 Fribourg
speaker Prof. Dr Christoph Böhm, Universität Münster
Contact Departement für Mathematik
Anand Dessai