中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 易灵飞 博士（University of Minnesota, Twin Cities）
题 目：Geometric Langlands for Hypergeometric Sheaves
时 间：2023.06.27（星期二），15:00-16:00
地 点：晨兴110室
摘 要：Hypergeometric sheaves are rigid local systems on the punctured projective line with remarkable properties. In this talk, we explicitly construct their associated automorphic sheaves using the method of rigid automorphic data. Moreover, for the wildly ramified irreducible hypergeometric sheaves, we will extend the construction to any classical groups, and give a partial description of their equations in the de Rham setting. This is based on my joint work with Kamgarpour and Kamgarpour-Xu.
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华罗庚青年数学论坛学术报告
报告人： 易灵飞 博士（University of Minnesota, Twin Cities）
题 目：Physical rigidity of Frenkel-Gross connection
时 间：2023.06.30（星期五），15:00-16:00
地 点：晨兴110室
摘 要：Frenkel-Gross connection is a remarkable cohomologically irregular G-connection on the projective line. In this talk, we show this connection is determined by its local monodromies, i.e. it is physically rigid. This confirms the de Rham version of a conjecture of Heinloth-Ng^o-Yun. The proof is based on the construction of the Hecke eigensheaf of a connection with only generic oper structure, using the localization of Weyl modules. Time permitting, we will describe a conjectural generalization proposed by Yun that relates theta connections to Langlands parameters of Epipelagic representations.
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