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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.24902 |
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| _version_ | 1866909814763814912 |
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| author | Gaitsgory, Dennis |
| author_facet | Gaitsgory, Dennis |
| contents | This is a write-up for the plenary ICM talk, 2026.
The goal of this paper is to propose a set of conjectures whose aim is to answer the basic question of the Langlands program (over function fields): how to describe the space of automorphic functions in terms of the spectral side (i.e., Langlands parameters)? |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local and global Langlands conjecture(s) over function fields Gaitsgory, Dennis Algebraic Geometry This is a write-up for the plenary ICM talk, 2026. The goal of this paper is to propose a set of conjectures whose aim is to answer the basic question of the Langlands program (over function fields): how to describe the space of automorphic functions in terms of the spectral side (i.e., Langlands parameters)? |
| title | Local and global Langlands conjecture(s) over function fields |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.24902 |