The MathNet Korea
Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

KAIST 수리과학과 세미나
Title The generalized Franchetta conjecture for hyperkaehler varieties
Date 2019-01-15
Speaker Robert Laterveer(IRMA, CNRS Université de Strasbourg)
Sponsors 2019-01-15
Host KAIST
Place E6-1 Room 2411
Abstract The generalized Franchetta conjecture as formulated by O’Grady is about algebraic cycles on the universal K3 surface. It is natural to consider a similar conjecture for algebraic cycles on universal families of hyperkaehler varieties. This has close ties to Beauville’s conjectural ``splitting property’’, and the Beauville-Voisin conjecture (stating that the Chow ring of a hyperkaehler variety has a certain subring injecting into cohomology). In my talk, I will attempt to give an overview of these conjectures, and present some cases where they can be proven. This is joint work with Lie Fu, Charles Vial and Mingmin Shen.