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arXiv · 2502.20611

Inductive construction of supercuspidal $L$-packets

Raphaël Beuzart-Plessis·Michael Harris·Jack Thorne
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Abstract

Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a version of the stable twisted trace formula for function fields, we prove the surjectivity of this parameterization for split groups in sufficiently large characteristic.

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Raphaël Beuzart-Plessis, Michael Harris, Jack Thorne. 2025-02-28. Inductive construction of supercuspidal $L$-packets. https://arxiv.org/abs/2502.20611

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