Ruadhaí Dervan (Glasgow) will give the geometry seminar at 2pm on 6th June, in the Salle des Profs (9th floor building NO). Ruadhaí’s title is “Singular Kähler-Einstein metrics and stability” and his abstract is below.

*Much of complex geometry surrounds the relationship between the existence Kähler-Einstein metrics and an algebro-geometric condition called K-stability. It is now a theorem that these metrics exist precisely when the manifold is K-stable. Sometimes the relevant cohomology class does not actually admit any Kähler metrics at all, and it is then best to consider “singular” metrics that are still positive in a suitable sense (as advocated by Demailly). I will describe an analogue of this story when one considers the existence of singular Kähler-Einstein metrics, and will discuss some results relating their existence to a new version of K-stability adapted to this “singular” setting. This is joint work with Rémi Reboulet.*