Inductive construction of supercuspidal $L$-packets
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.
Authors
- Michael Harris (ORCID: https://orcid.org/0000-0001-8518-2517)
- Raphaël Beuzart-Plessis (ORCID: https://orcid.org/0000-0002-5406-7310)
- Jack A. Thorne (ORCID: https://orcid.org/0000-0002-5900-3260)
Institutions
- University of Cambridge (GB)
- Château Gombert (FR)
- Institut de Mathématiques de Marseille (FR)
- Institut Polytechnique de Bordeaux (FR)
- Columbia University (US)
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-02-28
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00