Laurent Manivel (Grenoble)
Title : On certain families of Fano fourfolds
Abstract : Fano fourfolds of Picard number one, index two and degree ten
are essentially quadro-linear sections of the Grassmannian of
lines in $\mathbf{P}^4$. These varieties are very similar to
cubic fourfolds in many ways. In particular the derived categories
of the special ones, in the sense of Hodge theory, are expected
to have nice relations with those of certain K3 surfaces, or other
nice varieties.