Endoscopic decomposition of elliptic Fargues-Scholze L-packets
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911244970098688 |
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| author | Kazhdan, David Varshavsky, Yakov |
| author_facet | Kazhdan, David Varshavsky, Yakov |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Endoscopic decomposition of elliptic Fargues-Scholze L-packets Kazhdan, David Varshavsky, Yakov Algebraic Geometry Number Theory Representation Theory 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]. |
| title | Endoscopic decomposition of elliptic Fargues-Scholze L-packets |
| topic | Algebraic Geometry Number Theory Representation Theory |
| url | https://arxiv.org/abs/2503.00621 |