Calabi-Yau Manifolds via Cyclic Covers, and Complex Hyperbolic Structures of their Moduli Spaces
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：郑志伟（清华大学）
：2024-02-26 15:00
：海韵园实验楼106报告厅
报告人：郑志伟（清华大学）
时 间：2024年2月26日15:00
地 点：海韵园实验楼106报告厅
内容摘要:
We mainly study Calabi-Yau varieties that arise as cyclic covers of smooth projective varieties branched along simple normal crossing divisors. For some of those families of Calabi-Yau varieties, the period maps factor through arithmetic quotients of complex hyperbolic balls. Examples for base Pn have been found and studied by Sheng Mao, Xu Jinxing and Zuo Kang. We completely classify such examples when the base variety is (P1)n. These ball quotients are commensurable to ball quotients in Deligne-Mostow theory, and this shows some commensurability relations among Deligne-Mostow ball quotients. This is a joint work with Chenglong Yu.
个人简介：
郑志伟，清华大学助理教授。2019年清华大学博士毕业，2019-2021在德国波恩的马克斯普朗克研究所从事博士后研究。2021-2022为北京雁栖湖应用数学研究院助理研究员。2022成为清华大学丘成桐数学中心助理教授。主要从事K3曲面，cubic fourfolds，hyper-Kaehler流形，卡拉比-丘流形，模空间方面的研究工作。相关研究成果发表在Advances in Mathematics, Mathematische Zeitschrift，Algebra & Number Theory等国际著名期刊杂志上。
联系人：吕人杰
