A note on Hilbert schemes of points of K3 surfaces

Date: 2021-09-28

Time: 14:30 - 15:30

Speaker

Georg Oberdieck

Abstract

Borisov and Libgober computed the elliptic genus of the Hilbert scheme of points of a K3 surface. I will explain how their result together with conjectures in Gromov-Witten theory (by van Ittersum, myself and Pixton) suggest a somewhat unwieldy conjectural formula for the Chern numbers of the Hilbert scheme of points of K3 surfaces.