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Hodge properties of confluent hypergeometric connections

组织者

黄鹏飞 , 苏桃 , 孙浩

演讲者

秦翊宸

时间

2024年03月27日 14:00 至 15:00

地点

Shuangqing-C654

线上

Zoom 242 742 6089 (BIMSA)

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.