Wim Nijgh (Leiden University)

On the Picard lattice of K3 surfaces and its isometries

14:00 - 15:00 • Online: •15 March 2023

Abstract:

Automorphisms of K3 surfaces are widely studied. One well-known result is a finiteness theorem relating the automorphisms of a K3 surface with the isometries of its Picard lattice. The goal of this talk is to explain this relation by giving an introduction to lattices and the Picard group of a K3 surface. If time permits, we will also show some original research for the case of K3 surfaces over non-algebraically closed fields.