Varieties with trivial canonical class

Date: Tuesday 20 September 2022

Abstract

Compact Kähler manifolds with trivial canonical class play a major role in complex geometry. I will give an historic overview of these manifolds and discuss seminal results like the Calabi-Yau theorem and the Beauville-Bogomolov decomposition theorem. If time permits, I will explain why it is natural and desirable to consider singular versions of these objects and results and I will briefly talk about recent progress in that direction.