Simple supercuspidal L-packets of symplectic groups over dyadic fields

Abstract

We consider the symplectic group ${\mathrm{Sp}}_{2n}$ defined over a $p$-adic field $F$, where $p=2$. We prove that every simple supercuspidal representation (in the sense of Gross--Reeder) of ${\mathrm{Sp}}_{2n}(F)$ corresponds to an irreducible $L$-parameter under the local Langlands correspondence for ${\mathrm{Sp}}_{2n}$ established by Arthur.

26 pages