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

2020/07/02 by Anne-Marie Aubert, Anne‐Marie Aubert, Aubert, Anne-Marie +2 · 2 citations
Mathematics · #20G25 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20G25 #msc:22E50

paper · pdf · doi:10.48550/arxiv.2007.00946

29 pages

arxiv created 2020/07/02 · openalex publication_date 2020/07/02 · arxiv updated 2020/07/03 · openalex created_date 2021/09/13 · openalex updated_date 2026/08/01

Abstract

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: = \mathfrakR_E/F G be the reductive group over F obtained by Weil restriction of scalars. We investigate depth, and the enhanced local Langlands correspondence, in the transition from G(E) to M(F). We obtain a depth-comparison formula for Weil-restricted groups.

Citations

• Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique

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