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Functoriality for supercuspidal L-packets

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arxiv 2109.09552 v6 pith:SRCKAOS3 submitted 2021-09-20 math.RT

Adèle Bourgeois , Paul Mezo This is my paper · ORCID
classification math.RT
keywords packetssupercuspidalfunctorialitykalethaadicconsistconstructscorrespondence
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abstract

Kaletha constructs $L$-packets for supercuspidal $L$-parameters of tame $p$-adic groups. These $L$-packets consist entirely of supercuspidal representations, which are explicitly described. Using the explicit descriptions, we show that Kaletha's $L$-packets satisfy a fundamental functoriality property desired for the Local Langlands Correspondence.

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  1. 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.

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