Nikon Kurnosov

## Institution:

University of Georgia

## Time:

Wednesday, May 15, 2019 - 1:00pm to 1:50pm

## Location:

RH 440R

Cohomology algebra of hyperkahler manifolds is Frobenius algebra and the total Lie algebra of Lefschetz triples is isomorphic to so(4,b_2-2) by results of Loojenga-Lunts and Verbitsky. I will discuss the generalization of the classic Kuga-Satake construction which allows us to embed cohomology of hyperkahler manifolds to cohomology of some complex torus which is morphism of Hodge structures (joint with M.Verbitsky and A.Soldatenkov). Also I will briefly explain some interesting corollaries.