Variations of Mixed Hodge Structures for a Pair

报告人：王振建（合肥国家实验室）

时  间：2026年5月21日14:30

地  点：海韵园实验楼S308

内容摘要:

This talk is based on the paper "Infinitesimal Invariants of Mixed Hodge Structures" by R. Aguilar, M. Green, and Ph. Griffiths. We discuss the general framework of variations of mixed Hodge structures for a pair (X,Y), where X is a smooth complex projective manifold and Y is a smooth hypersurface in X. We define the infinitesimal invariant using the derivative of the period map. For a Fano–K3 pair, i.e., X a cubic threefold and Y a smooth anticanonical section of X, we associate a cubic form C to the pair and relate the infinitesimal invariant to C. We then examine the Torelli theorem using this cubic form and point out gaps in the proof of the generic Torelli theorem by Aguilar–Green–Griffiths. If time permits, we give new proofs of some results in their work.

个人简介：

王振建，合肥国家实验室初级研究员。2017年博士毕业于Universite de Nice-Sophia Antipolis，2017-2020年在清华大学YMSC从事博士后研究。2021-2022为中国科技大学几何物理中心的助理教授。现入职合肥国家实验室。研究方向聚焦于代数几何中的mixed Hodge theory。相关研究成果发表在Canad. J. Math., Pacific J. Math., Manuscripta Math., Math. Nachr.等国际期刊杂志上。

联系人：吕人杰