Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Langlands parameter of a simple supercuspidal representation:
  Symplectic groups   Let $\pi$ be a simple supercuspidal representation of the symplectic group
$Sp_{2l}(F)$, over a $p$-adic field $F$. In this work, we explicitly compute
the Rankin-Selberg $\gamma$-factor of rank-$1$ twists of $\pi$. We then
completely determine the Langlands parameter of $\pi$, if $p \neq 2$. In the
case that $F = \mathbb{Q}_2$, we give a conjectural description of the
functorial lift of $\pi$, with which, using a recent work of Bushnell and
Henniart, one can obtain its Langlands parameter.

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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph