Title: About Kuga-Satake construction and its generalizations
Speaker: Nikon Kurnosov
Speaker Info: University of Georgia
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Abstract:
Cohomology algebra of hyperkaehler manifolds is a Frobenius algebra, and the total Lie algebra of Lefschetz sl(2)-triples acting on it is so(4,b_2-2) by results of Loojenga-Lunts and Verbitsky. I will discuss the classic Kuga-Satake construction for K3 surfaces and its generalizations for hyperkaehler manifolds.Date: Thursday, October 11, 2018