Monday March 05, 2018 4:00 PM  5:00 PM Math Tower P131
 Nikon Kurnosov, University of Georgia
Generalization of the KugaSatake construction for hyperkahler manifoldsThe famous KugaSatake construction provides us a construction of a complex torus (abelian variety A in polarized case) for Hodge structure of K3type. In higher dimensions there are several more examples of hyperkahler manifolds known. In this talk I will describe generalization of KugaSatake construction for all hyperkahler manifolds (joint work with A. Soldatenkov and M. Verbitsky), and construct embedding of cohomology of hyperkahler manifold X into the cohomology of the product of several copies of abelian variety A.
