ZUMA - On degenerations and singularities of Kähler-Einstein metrics

Venue: Lecture Hall of IASM


Time: April 3, 16:00 - 17:30


Speaker: Cristiano Spotti (Aarhus University)


Abstract: Thanks to their deep relations with algebraic geometry Kähler-Einstein metrics provide a very powerful example to study in detail degenerations and collapsing phenomena at the boundary of Einstein moduli spaces. In the pre-talk, after reviewing some of the basics, I will discuss the toy case of moduli of conical (with cone angle less than 2pi) metrics with constant curvature on the sphere, as an illustrative example of the type of phenomena we are interested in. In the main talk, instead, I will present some results and conjectures in higher dimensions.