March 05, 2018
4:00 PM - 5:00 PM
Math Tower P-131
|Nikon Kurnosov, University of Georgia|
Generalization of the Kuga-Satake construction for hyperkahler manifolds
The famous Kuga-Satake construction provides us a construction of a complex torus (abelian variety A in polarized case) for Hodge structure of K3-type. In higher dimensions there are several more examples of hyperkahler manifolds known. In this talk I will describe generalization of Kuga-Satake 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.