时间：11月27日，周三，16:00-17:00  

标题：Geometric Langlands for Irregular Theta Connections and Epipelagic Representations

地点：东七报告厅

报告人：易灵飞 （复旦大学）

摘要：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.