Speaker：Zhiwei Zheng (Tsinghua University)
Time：2024-2-26, 15:00
Location：Conference Room 106 at Experiment Building at Haiyun Campus
Abstract:
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.