ZUMA - Global Torelli theorem for K3 surfaces/A user’s guide to Markman’s hyperholomorphic bundles12.1

地点:海纳苑2幢204室

时间:12月1日,16:00 - 17:20

报告人訚琪峥 Qizheng Yin(北京大学)

摘要:  

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.