Date & Time: Tuesday, March 10, 2015, 14:00-15:30.
Venue: Ramanujan Hall

Title: Explicit Langlands parameter for epipelagic representation

Speaker: Shiv Prakash Patel, IIT Bombay

Abstract: Let ​$​ F​$​ ​​be a non-Archimedian local field. For every irreducible admissible representation ​$ \pi​$​ of ​$​ GL_n(F)​$​, the local Langlands correspondence prescribes a​n​ n-dimensional complex representation ​$​\sigma​$​ of the Weil-Deligne group which satisfies certain properties, called Langlands parameter of ​$​ \pi​$​. An irreducible ​supercuspidal ​representation of ​$​ GL_n(F)​$​ is epipelagic if its Swan conductor equals 1. In this series of two lectures​,​ ​​we discus​s​ an "explicit" description ​of Langlands parameter for an epipelagic representation of $GL_n(F)$ due to ​Bushnell​ and ​Henniart​ (2014).