Endoscopic Decomposition of Elliptic Fargues–Scholze $L$-Packets
Abstract
Abstract The main goal of this note is to show that the local $L$ L -packets of Fargues–Scholze [FS21], corresponding to elliptic $L$ L -parameters, admit an endoscopic decomposition. Our argument is strongly motivated by a beautiful paper of Chenji Fu [Fu25], where the stable case is proven. To put our results in a more general context, we also construct a general endoscopic decomposition over ℂ based on results of Arthur, and a generalization of this decomposition over arbitrary algebraically closed fields of characteristic zero based on a recent work [KSV25].
Fields of Study & Subjects
Advanced Algebra and Geometry
Publication details
- Journal / source
- Geometric and Functional Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 36
- Issue
- 3
- Pages
- 891–918
- Publication date
- 1 June 2026
- Language
- EN