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arXiv · 2503.00621

Endoscopic decomposition of elliptic Fargues-Scholze L-packets

David Kazhdan·Yakov Varshavsky
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Abstract

The main goal of this note is to show that the local L-packet of Fargues-Scholze [FS], corresponding to an elliptic L-parameter, has an endoscopic decomposition. Our argument is strongly motivated by a beautiful paper of Chenji Fu [Fu], where the stable case is proven. To put our results in a more general context, we also construct a general endoscopic decomposition over complex numbers based on results of Arthur, and a generalization of this decomposition over an arbitrary algebraically closed field of characteristic zero based on a recent work [KSV].

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David Kazhdan, Yakov Varshavsky. 2025-03-01. Endoscopic decomposition of elliptic Fargues-Scholze L-packets. https://arxiv.org/abs/2503.00621

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