ZUMA - Global Torelli theorem for K3 surfaces/A user’s guide to Markman’s hyperholomorphic bundles

Venue: Room 204, Hai Na Yuan #2, Zijingang Campus


Time: 16:00 - 17:20, December 1


Speaker: 訚琪峥 Qizheng Yin (Peking University)


Pretalk: Global Torelli theorem for K3 surfaces

Research talk:A user’s guide to Markman’s hyperholomorphic bundles

Abstract: We discuss several applications of Markman’s recent construction of hyperholomorphic bundles on products of hyper-Kähler varieties of K3^[n] type. These include the algebraicity of certain natural Hodge classes (Markman’s own work), the D-equivalence conjecture (joint work with Davesh Maulik, Junliang Shen, and Ruxuan Zhang), and, potentially, a better understanding of the Chow ring of K3^[n] type varieties.