FRG workshop, 2011
M. Verbitsky
Title: Global Torelli theorem for hyperkähler manifolds
Abstract:
The global Torelli theorem for hyperkähler manifolds
is a statement about isomorphism between the "birational moduli space",
obtained by gluing together certain
birationally equivalent points in the course moduli
space, and a quotient of the period domain by
the mapping class group. I will state the theorem
and explain how one computes the mapping class group
using the Sullivan's theory of rational homotopy.