报告题目：Counting l-adic local systems over a curve over a finite field

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 the mystery behind Deligne’s conjecture and some counting results where we connect counting to the number of stable Higgs bundles using Arthur's non-invariant trace formula.

报告人简介：余红杰，本科武汉大学，硕士巴黎综合理工学院，博士巴黎第七大学，曾经博士后工作于奥地利科学技术研究院，现在为以色列魏茨曼科学研究院博士后。相关研究成果发表于C. R. Math. Acad. Sci. Paris，Ann. of Math.以及Pac. J. Math.等杂志。

会议主题：中南大学学术报告-余红杰

会议时间：2023/11/08 19:00-20:00 (GMT+08:00)中国标准时间-北京

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