Involutions on the Hilbert square of a K3 surface

Samuel Boissière
Université de Poitiers (France)
Abstract:
I will use K3 surfaces with special geometry to construct involutions on the Hilbert square of a K3 surface. The existence of such involutions can be proven using the Torelli theorem for hyper-Kähler manifolds but it is a challenging problem to produce concrete realizations.