Kieran O'Grady
Rome I

Title: Moduli of double EPW-sextics
Abstract: We study the GIT quotient of the symplectic grassmannian
parametrizing lagrangian subspaces of \bigwedge^3 {\mathbb C}^6
(the symplectic form on \bigwedge^3 {\mathbb C}^6 is given by wedge
product). The GIT quotient is a compactification of the moduli
space of double EPW-sextics and may be viewed as an analogue of the
moduli space of cubic 4-folds. We classify stable points and the
components of the GIT-boundary. Since our final goal is to study
the period map we compare (semi)stability and the behaviour of