The l-modular local Langlands correspondence and local constants
File(s)
Accepted version
Author(s)
Kurinczuk, Robert
Matringe, Nadir
Type
Journal Article
Abstract
Let F be a non-archimedean local field of residual characteristic p , ℓ≠p be a prime number, and WF the Weil group of F . We classify equivalence classes of WF -semisimple Deligne ℓ -modular representations of WF in terms of irreducible ℓ -modular representations of WF , and extend constructions of Artin–Deligne local constants to this setting. Finally, we define a variant of the ℓ -modular local Langlands correspondence which satisfies a preservation of local constants statement for pairs of generic representations.
Date Issued
2021-09
Date Acceptance
2019-10-11
Citation
Journal of the Institute of Mathematics of Jussieu, 2021, 20 (5), pp.1585-1635
ISSN
1474-7480
Publisher
Cambridge University Press (CUP)
Start Page
1585
End Page
1635
Journal / Book Title
Journal of the Institute of Mathematics of Jussieu
Volume
20
Issue
5
Copyright Statement
© 2019 Cambridge University Press. This article has been published in a revised form in
Journal of the Institute of Mathematics of Jussieu, https://doi.org/10.1017/S1474748019000586. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works.
Journal of the Institute of Mathematics of Jussieu, https://doi.org/10.1017/S1474748019000586. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works.
Identifier
https://www.cambridge.org/core/journals/journal-of-the-institute-of-mathematics-of-jussieu/article/ell-modular-local-langlands-correspondence-and-local-constants/8C9D69FFAD6CCAB457151B93A078A549
Subjects
0101 Pure Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2019-11-08