Time: 16:00-17:00, Wednesday, May 21  

Title: Counting l-adic local systems over a curve

Speaker: Hongjie Yu 余红杰 (Chinese Academy of Sciences)

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.