23 mar 2016 -- 14:30
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
A Fano fourfold is said to be of K3 type if its derived category of coherent sheaves has a semiorthogonal decomposition consisting of several exceptional objects and a derived category of a noncommutative K3 surface. Cubic fourfolds form a family of very interesting examples of this sort. They are interesting because of their intriguing birational behavior, and of their relation to hyperkahler geometry, and most probably the noncommutative K3 category is responsible for both features. I will talk about other examples of Fano fourfolds of K3 type.