BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Counting l-adic local systems over a curve
Counting l-adic local systems over a curve
Organizers
Hansheng Diao , Heng Du , Yueke Hu , Bin Xu , Yihang Zhu
Speaker
Hongjie Yu
Time
Wednesday, May 28, 2025 3:30 PM - 4:30 PM
Venue
Shuangqing-B627
Abstract
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.