Local Langlands correspondences in ℓ-adic coefficients

Let ℓ be a prime number different from the residue characteristic of a non-archimedean local field F . We give formulations of ℓ -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 ℓ -...

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Bibliographic Details
Published inManuscripta mathematica Vol. 175; no. 1-2; pp. 345 - 364
Main Author Imai, Naoki
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2024
Springer Nature B.V
Subjects
Algebraic Geometry
Calculus of Variations and Optimal Control; Optimization
Complex numbers
Geometry
Isomorphism
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Prime numbers
Topological Groups
Secondary 11F80
Primary 11F70
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Summary:Let ℓ be a prime number different from the residue characteristic of a non-archimedean local field F . We give formulations of ℓ -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 ℓ -adic coefficient field and the complex number field.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-024-01582-y