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On depth in the local Langlands correspondence for tori

· 2018 · math.RT · arXiv 1810.08046

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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 · 2025-09-09 · conditional · novelty 7.0

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).

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  • Langlands parameters for Moy-Prasad types math.RT · 2025-09-09 · conditional · none · ref 5 · internal anchor

    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).