Geometric Langlands for Hypergeometric Sheaves
Dr. Lingfei Yi
2023-06-27 15:00-16:00
MCM110&Online
Speaker: Dr. Lingfei Yi (University of Minnesota, Twin Cities)Time: 15:00-16:00 June 27, 2023 (Tuesday)
Place: MCM110 & Online (Zoom ID: 3329836068 Password: mcm1234)
Title: Geometric Langlands for Hypergeometric Sheaves
Abstract: 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.
