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Supercuspidal L-packets

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arxiv 1912.03274 v2 pith:AQEX4L4T submitted 2019-12-06 math.RT math.NT

Tasho Kaletha This is my paper · ORCID
classification math.RTmath.NT
keywords grouplanglandslocalparametersupercuspidalassignmentassociateassume
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Let F be a non-archimedean local field and let G be a connected reductive group defined over F. We assume that G splits over a tame extension of F and that the residual characteristic p does not divide the order of the Weyl group. To each discrete Langlands parameter of the Weil group of F into the complex L-group of G we associate explicitly a finite set of irreducible supercuspidal representations of G(F), and relate its internal structure to the centralizer of the parameter. We give evidence that this assignment is an explicit realization of the local Langlands correspondence.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Construction of tame supercuspidal representations in arbitrary residue characteristic

    math.RT 2025-01 conditional novelty 8.0 of 10

    For tame reductive p-adic groups with residue field of at least four elements, a Yu-type input without the second genericity condition induces a finite set of irreducible supercuspidal representations.

  2. On parameters of Hecke algebras for $p$-adic groups

    math.RT 2025-05 accept novelty 7.0 of 10

    Depth-zero Hecke algebra parameters equal unipotent Hecke algebra parameters, proving a version of Lusztig's conjecture under tameness.

  3. Hecke algebras and local Langlands correspondence for non-singular depth-zero representations

    math.RT 2024-11 conditional novelty 7.0 of 10

    A local Langlands correspondence and a categorical Hecke-algebra refinement are established for all non-singular depth-zero representations of reductive p-adic groups.

  4. The Aubert and Bernstein involutions for disconnected groups

    math.RT 2026-07 accept novelty 6.5 of 10

    Aubert and Bernstein dualities extend to disconnected reductive p-adic groups, with uniqueness, irreducibility preservation, character formulas, and a Steinberg representation for twisted endoscopy.

  5. The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups

    math.RT 2026-04 unverdicted novelty 6.0 of 10

    Constructs local Langlands correspondence for essentially unipotent supercuspidal representations with functoriality and automorphism equivariance, generalizing to disconnected reductive groups under a mild structural...

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