On Beauville's conjectural weak splitting property

Ulrike Riess

This talk should serve as an overview on Chow rings of irreducible symplectic varieties. We start by recalling the results of Beauville and Voisin on the Chow ring of K3 surfaces, and present Beauville’s conjectural “weak splitting property”, and Voisin’s generalization: Both conjectures predict the injectivity of the restriction of the cycle class map to certain subalgebras in the Chow ring.

http://scgp.stonybrook.edu/video_portal/video.php?id=2816

Simons- Workshop: Derived categories and Chow groups of hyperkaehler and Calabi-Yau varieties