Hyper-Kummer construction

报告人：傅列（法国斯特拉斯堡大学）

时  间：2026年7月20日9:00

地  点：海韵园实验楼S105

内容摘要:

Classical Kummer construction relates abelian surfaces and K3 surfaces. The hyper-Kummer construction, discovered by Salvatore Floccari, relates in an analogous similar way hyper-Kähler 6-folds of Kummer type and hyper-Kähler 6-folds of K3^[3]-type. I will report a recent joint work with Salvatore Floccari on a systematic study of the hyper-Kummer construction. I will present various relations between the hyper-Kähler 6-folds of Kummer type and the hyper-Kummer 6-folds of K3^[3]-type, on the level of topology, Hodge theory, derived categories, and motives. Time permitting, I will conclude by giving some nice applications on algebraic cycles, e.g. Beauville weak splitting conjecture, Hodge and Tate conjecture, and Kimura-O'Sullivan finite-dimensionality conjecture.

个人简介：

傅列，法国斯特拉斯堡大学教授。2008年本科毕业于北京大学，2014年在索邦大学（巴黎六大）获博士学位，先后在法国里昂第一大学、荷兰拉德堡德大学任教，2022年加盟斯特拉斯堡大学，并于2023年升任教授。研究领域为代数几何，在超凯勒流形，Calabi-Yau流形、Fano流形、周群、向量丛模空间、Hodge猜想、实代数几何等众多课题的研究中取得突出的成果。论文发表在 Proceedings of London Mathematical Society, Mathematische Annalen, Journal of Algebraic Geometry, Algebraic Geometry, Advances in Mathematics, Geometry & Topology, Transactions of AMS, Selecta Mathematica, International Mathematics Research Notices 等重要期刊上。

联系人：刘文飞