Time：November 27, Wednesday, 16:00-17:00  

Title: Geometric Langlands for Irregular Theta Connections and Epipelagic Representations

Venue: Lecture Hall

Speaker: Lingfei Yi 易灵飞 (Fudan University)

Abstract: Gradings on semisimple Lie algebras with stable vectors play an important role in representation theory. From stable vectors, Reeder and Yu constructed a family of supercuspidal representations called epipelagic representations. Over the function field of projective line, Yun globalized epipelagic representations using rigid automorphic data and constructed a family of Hecke eigensheaves. On the other hand, in the de Rham setting Yun also constructed an irregular connection on punctured projective line from a stable vector, called a theta connection. I will explain a geometric Langlands correspondence between the theta connections and the Hecke eigensheaves of Yun, based on a joint work with Tsao-Hsien Chen. 

I will also explain an application to the correspondence in the l-adic setting, based on a joint work in progress with Daxin Xu.