MS Seminar (Mathematics - String Theory)

Speaker: Hongjie Yu (Weizmann Institute of Science)
Title: Counting l-adic local systems on a curve over a finite field
Date (JST): Tue, Dec 12, 2023, 15:30 - 17:00
Place: Seminar Room A
Abstract: In 1981, Drinfeld enumerated the number of irreducible l-adic local systems of rank two on a projective smooth curve fixed by the Frobenius endomorphism. Interestingly, this number looks like the number of points on a variety over a finite field. Deligne proposed conjectures to extend and comprehend Drinfeld's result. By the Langlands correspondence, it is equivalent to count certain cuspidal automorphic representations over a function field. In this talk,I will present some counting results where we connect counting to the number of stable Higgs bundles using Arthur's non-invariant trace formula.