报告主题:Hodge properties of confluent hypergeometric connections
报 告 人:秦翊宸(Humboldt-Universität zu Berlin)
报告时间:2024年3月27日(星期三)下午14:00-15:00
报告地点:Zoom:242 742 6089
邀 请 人:孙浩副教授
(该报告与BIMSA的苏桃教授和马普所的黄鹏飞博士共同组织)
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数学学院
2024年3月25日
报告摘要:
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.
报告人介绍:
秦翊宸,2022年博士毕业于 École Polytechnique,现为Humboldt Universität zu Berlin博士后。