走向现代数学学术报告 - 张正助理教授（No. 652）

题目：Cubic threefolds with an involution and their intermediate Jacobians

报告人：张正 助理教授（上海科技大学）

时间：2023年10月26日，14:10

腾讯会议ID：923-746-391

摘要：We study the moduli space of cubic threefolds admitting an involution via the period map sending such a cubic threefold to the invariant/anti-invariant part of the intermediate Jacobian. Our main result is global Torelli holds for the period map. Key ingredients of the proof include a description of the invariant/anti-invariant part of the intermediate Jacobian as a Prym variety and a detailed study of certain positive dimensional fibers of the corresponding Prym map. The proof also relies on the results of Donagi-Smith, Ikeda and Naranjo-Ortega on related Prym maps. This is joint work with S. Casalaina-Martin and L. Marquand.

报告人简介：张正，上海科技大学助理教授，2014年博士毕业于纽约石溪大学，研究方向为代数几何中的霍奇理论及其应用。相关研究成果发表在Adv. Math, Alg. Geo., Math..Res.Lett.等著名国际数学杂志。