On depth in the local Langlands correspondence for tori

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arxiv 1810.08046 v1 pith:7P5OU4D4 submitted 2018-10-18 math.RT

Anne-Marie Aubert , Roger Plymen This is my paper · ORCID

classification math.RT

keywords localcorrespondencelanglandstoriasymptoticdepthdepthsfield

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abstract

Let $K$ be a non-archimedean local field. In the local Langlands correspondence for tori over $K$, we prove an asymptotic result for the depths.

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Langlands parameters for Moy-Prasad types
math.RT 2025-09 conditional novelty 7.0 of 10

For each depth r, irreducible depth-r representations of a tamely ramified p-adic reductive group are assigned tame restricted Langlands parameters on the r-th inertia subgroup, nontrivial when r lies in Z_(p).