You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar
Speaker: Salvatore Floccani (Hannover)
“Sixfolds of generalized Kummer type and K3 surfaces”
Abstract: The classical Kummer construction associates a K3 surface to any 2-dimensional complex torus. In my talk I will present an analogue of this construction, which involves the two most well-studied deformation types of hyper-Kähler manifolds in dimension 6. Namely, starting from any hyper-Kähler sixfold K of generalized Kummer type, I am able to construct geometrically a hyper-Kähler manifold of K3[3]-type. When K is projective, the associated variety is birational to a moduli space of sheaves on a uniquely determined K3 surface. As application of this construction I will show that the Kuga-Satake correspondence is algebraic for many K3 surfaces of Picard rank 16.
Date: Friday, 3 March 2023
Time: 15:40 (GMT+3)
Place: Zoom
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr