Physical rigidity of Frenkel-Gross connection
Dr. Lingfei Yi
2023-06-30 15:00-16:00
MCM410&Online
Speaker: Dr. Lingfei Yi (University of Minnesota, Twin Cities)Time: 15:00-16:00 June 30, 2023 (Friday)
Place: MCM410 & Online (Zoom ID: 3329836068 Password: mcm1234)
Title: Physical rigidity of Frenkel-Gross connection
Abstract: 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.
