Group, Lie and Number Theory Seminar

In 2010, Gross and Reeder discovered a special class of supercuspidal representations of p-adic reductive groups, which they call the simple supercuspidal representations. In this talk, I will give an explicit description of the local Langlands correspondence (in the sense of Arthur) for simple supercuspidal representations of classical groups. The point is to utilize the formal degree conjecture to narrow down the possibilities of the L-parameter of a simple supercuspidal representation. I will also explain that the result is quite different depending on whether a given p-adic field is dyadic (i.e. p=2) or not.
This talk is based on my joint work with Guy Henniart. Speaker(s): Masao Oi (Kyoto University)