Beijing notes on the categorical local Langlands conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913497257869312 |
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| author | Hansen, David |
| author_facet | Hansen, David |
| contents | We formulate some refinements and complements to the categorical local Langlands conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with Eisenstein series and duality, and explain some of their consequences. We also begin the process of matching t-structures on both sides. Notably, we introduce the so-called hadal t-structure on the automorphic side, which has good finiteness properties, and which conjecturally matches with a suitable perverse coherent t-structure on the spectral side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04533 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Beijing notes on the categorical local Langlands conjecture Hansen, David Number Theory Algebraic Geometry Representation Theory We formulate some refinements and complements to the categorical local Langlands conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with Eisenstein series and duality, and explain some of their consequences. We also begin the process of matching t-structures on both sides. Notably, we introduce the so-called hadal t-structure on the automorphic side, which has good finiteness properties, and which conjecturally matches with a suitable perverse coherent t-structure on the spectral side. |
| title | Beijing notes on the categorical local Langlands conjecture |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2310.04533 |