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Moduli Spaces and Related Topics | Hodge properties of confluent hypergeometric connections

来源: 03-27

时间:Wed., 14:00-15:00, Mar. 27. 2024

地点:C654, Shuangqing Complex Building A 欧美无码 双清综合楼A座 C654

组织者:Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

主讲人:Yichen Qin (Humboldt Universität zu Berlin)

Abstract:

Sabbah and Yu computed the irregular Hodge numbers associated with hypergeometric connections. In this talk, we introduce a new approach for hypergeometric connections whose defining parameters are rational numbers. Our method relies on a geometric interpretation of hypergeometric connections, which enables us to describe the irregular Hodge filtrations explicitly and derive several arithmetic applications on hypergeometric sums. This research is conducted in collaboration with Daxin Xu.

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