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).
Number Theory , 233(2022), pp
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Langlands parameters for Moy-Prasad types
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).