Michela Artebani (Conception, Chile)

Abstract. An automorphism of a K3 surface is non-symplectic if its action on the vector space of holomorphic two-forms is not trivial. In this talk I will present recent progress on non-symplectic automorphisms of order three. In particular, I will classify the topological structure of their fixed locus and I will relate it to the arithmetic invariants of the fixed lattice in cohomology. This is a joint work with Alessandra Sarti.