Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Langlands Classification for L-Parameters   Let $F$ be a non-archimedean local field and $G={\bf{G}}(F)$ the group of
$F$-rational points of a connected reductive $F$-group. Then we have the
Langlands classification of complex irreducible admissible representations
$\pi$ of $G$ in terms of triples $(P,\sigma,\nu)$ where $P\subset G$ is a
standard $F$-parabolic subgroup, $\sigma$ is an irreducible tempered
representation of the standard Levi-group $M_P$ and $\nu \in \Bbb{R}\otimes
X^*(M_P)$ is regular with respect to $P.$ Now we consider Langlands'
L-parameters $[\phi]$ which conjecturally will serve as a system of parameters
for the representations $\pi$ and which are (roughly speaking) equivalence
classes of representations $\phi$ of the absolute Galois group
$\Gamma=\text{Gal}(\overline{F}|F)$ with image in Langlands' L-group $\,^LG$,
and we classify the possible $[\phi]$ in terms of triples $(P,[\,^t\phi],\nu)$
where the data $(P,\nu)$ are the same as in the Langlands classification of
representations and where $[\,^t\phi]$ is a tempered L-parameter of $M_P.$

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th