科学研究
报告题目:

Calabi-Yau Manifolds via Cyclic Covers, and Complex Hyperbolic Structures of their Moduli spaces

报告人:

郑志伟 (清华大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

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 P^n have been found and studied by Sheng Mao, Xu Jinxing and Zuo Kang. We completely classify such examples when the base variety is (P^1)^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.