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arXiv · 2003.14154

Local Langlands correspondences in $\ell$-adic coefficients

Naoki Imai
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Abstract

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.

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Naoki Imai. 2020-03-31. Local Langlands correspondences in $\ell$-adic coefficients. https://doi.org/10.1007/s00229-024-01582-y

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