Seminar| Institute of Mathematical Sciences
Time: Tuesday, April 15th, 2025,13:10-14:40
Location: IMS, RS408
Speaker:Ruxuan Zhang, Fudan University
Abstract: It is known that the derived category of a K3 surface is controlled by its Mukai lattice. I will discuss the similar phenomenon for hyper-Kähler varieties of K3^{[n]}-type. In particular, we prove that any 2n-dimensional fine moduli space of stable objects on a K3 surface is derived equivalent to the Hilbert scheme of n points on the K3 surface. I will also talk about the categorical conjectures behind lattice computations.