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.
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