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arXiv · 2207.12985

Simple supercuspidal L-packets of symplectic groups over dyadic fields

Guy Henniart·Masao Oi
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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.

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Guy Henniart, Masao Oi. 2022-07-26. Simple supercuspidal L-packets of symplectic groups over dyadic fields. https://arxiv.org/abs/2207.12985

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