时间：2024年10月24日（星期四）15:00-16:00
地点：西湖大学云谷校区E4-233
主讲人：中科院晨兴数学中心 余红杰
报告题目：Counting l-adic local systems over a curve
报告摘要：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. I will present some counting results where we connect counting to the number of stable Higgs bundles using Arthur's non-invariant trace formula.
