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Article Dans Une Revue Journal of Number Theory Année : 2022

Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)

Résumé

Let E/F be a finite and Galois extension of non-archimedean local fields. Let G be a connected reductive group defined over E and let M be the reductive group over F obtained by Weil restriction of scalars from E to F. We investigate depth, and the enhanced local Langlands correspondence, in the transition from to G(E) to M(F). We obtain a depth-comparison formula for Weil-restricted groups.
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Dates et versions

hal-03091590 , version 1 (31-12-2020)

Identifiants

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Anne-Marie Aubert, Roger Plymen, Jessica Fintzen. Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen). Journal of Number Theory, In press, 233, pp.24-58. ⟨10.1016/j.jnt.2021.06.003⟩. ⟨hal-03091590⟩
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