Giulia Sacca
Fibrations in abelian varieties associated to linear systems on Enriques surfaces
I will talk about two constructions associating to a linear system on an Enriques surface a fibration in abelian varieties. The first one is the relative compactified Jacobian of the linear system and I will show how it leads to a smooth odd dimensional Calabi-Yau variety. The second construction (joint work with E. Arbarello and A. Ferretti) is a fibration in Prym varieties whose total space is a singular symplectic variety. I will discuss when these singular symplectic varieties admit a symplectic resolution and show that, when they do, they are deformation equivalent to Hilb^n(K3). If time allows I talk about how these symplectic singularities are related to Quiver varieties.