# Samuel Stark: Geometry of Quot schemes

**Time: **
Thu 2023-01-26 14.00 - 15.00

**Location: **
Zoom

**Video link: **
Meeting ID: 652 5601 5501

**Participating: **
Samuel Stark (ETH)

**Abstract**

I will describe some of my recent results on the Quot scheme of length *l* coherent sheaf quotients of a locally free sheaf E of rank *r* on a smooth projective scheme *S*. Introduced by Grothendieck, this moduli scheme is a generalization of the Grassmannian (*S* a point), the projectivization of *E* (\(l=1\)), and the Hilbert scheme of *l* points of *S* (\(r=1\)). Special emphasis will be put on the intersection theory and the tautological sheaves.