Local Langlands correspondences in $\ell$-adic coefficients

Fuente: arXiv
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Autor principal: Imai, Naoki
Formato: Preprint
Publicado: 2020
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author Imai, Naoki
author_facet Imai, Naoki
contents Let $\ell$ be a prime number different from the residue characteristic of a non-archimedean local field $F$. We give formulations of $\ell$-adic local Langlands correspondences for connected reductive algebraic groups over $F$, which we conjecture to be independent of a choice of an isomorphism between the $\ell$-adic coefficient field and the complex number field.
format Preprint
id arxiv_https___arxiv_org_abs_2003_14154
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Local Langlands correspondences in $\ell$-adic coefficients
Imai, Naoki
Number Theory
Representation Theory
11F70, 11F80
Let $\ell$ be a prime number different from the residue characteristic of a non-archimedean local field $F$. We give formulations of $\ell$-adic local Langlands correspondences for connected reductive algebraic groups over $F$, which we conjecture to be independent of a choice of an isomorphism between the $\ell$-adic coefficient field and the complex number field.
title Local Langlands correspondences in $\ell$-adic coefficients
topic Number Theory
Representation Theory
11F70, 11F80
url https://arxiv.org/abs/2003.14154