BIMSA > GRASP seminar Hodge properties of confluent hypergeometric connections
Hodge properties of confluent hypergeometric connections
Organizers
Pengfei Huang , Tao Su , Hao Sun
Speaker
Yichen Qin
Time
Wednesday, March 27, 2024 2:00 PM - 3:00 PM
Venue
Shuangqing-C654
Online
Zoom 242 742 6089 (BIMSA)
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.