数论与表示论讨论班——Counting l-adic local systems over a curve

报告人：Hongjie Yu(Chinese Academy of Sciences)

时间：2025年5月21日，16:00-17:00

地点：紫金港校区东7数高院一楼报告厅

组织者：Dongwen Liu, Yifeng Liu,

                Andreas Mihatsch, Binyong Sun

摘要：Given a punctured curve over a finite field, Deligne proposed counting irreducible geometric l-adic local systems with prescribed local ramification near each puncture, fixed by Frobenius pullback. This problem is closely related to determining a dimension formula for certain cuspidal automorphic forms over a function field. In this talk, I will present results in these directions and discuss some related questions arising in nearby areas.