Grégoire Menet will speak on

Construction of hyperkähler orbifolds

Abstract: In order to classify the complex varieties, hyperkähler manifolds appeared as important objects because of their role of elementary bricks in the Bogomolov decomposition theorem. More recently this theory has been generalized to the singular setting. In this context, the hyperkähler orbifolds can be seen as one of the simplest generalization of the hyperkähler manifolds, with only mild singularities. In this talk, we will see how to construct examples of such orbifolds.