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



时间:5月21日,周三,16:00-17:00
主题:Counting l-adic local systems over a curve
报告人:Hongjie Yu 余红杰 (Chinese Academy of Sciences 中国科学院)
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.