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Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Malte Wandel

On non-symplectic involutions on manifolds of K3^[2]-type

I will give an overview over the known results on non-symplectic involutions on manifolds which are deformation equivalent to the Hilbert scheme of two points on a projective K3 surface. Next, I will specialize on 19-dimensional families and, classifying possible invariant lattices, I present the construction of a new family using moduli spaces of sheaves on K3 surfaces. Possible generalizations in various directions are discussed. This is joint work in progress with H. Ohashi.