Time: 15:00-17:00, April 13

Venue: Lecture Hall

Abstract: There is a natural subcategory of the derived category of a Fano variety, now called the Kuznetsov component, which is a non-commutative variety in the sense of Orlov. I will talk about how Kuznetsov components control the geometry of a series of Fano varieties. I will also talk about how to use Bridgeland moduli spaces on Kuznetsov components to construct families of special Lagrangian submanifolds of some hyperkahler manifolds.