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Abstract des Vortrages von Chiara Camere

Non-symplectic automorphisms of holomorphic symplectic manifolds of K3^[2]-type

Recent work by Boissière, Nieper-Wißkirchen and Sarti has introduced a new tool for the study of automorphisms on irreducible holomorphic symplectic manifolds: their formula relates the cohomology groups of the fixed locus of the automorphism with numerical invariants of the invariant lattice inside H^2(X,Z). I will report on a joint work with Boissière and Sarti about the classification of non-symplectic automorphisms of prime order of holomorphic symplectic fourfolds of K3^[2]-type.