On the excursion algebra
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866918333436133376 |
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| author | Gaitsgory, Dennis Lin, Kevin Reeves, Wyatt |
| author_facet | Gaitsgory, Dennis Lin, Kevin Reeves, Wyatt |
| contents | The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When X is a curve, this algebra acts on the space of automorphic functions. In this paper we establish some basic properties of this algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11343 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the excursion algebra Gaitsgory, Dennis Lin, Kevin Reeves, Wyatt Algebraic Geometry The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When X is a curve, this algebra acts on the space of automorphic functions. In this paper we establish some basic properties of this algebra. |
| title | On the excursion algebra |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.11343 |