The spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909405337878528 |
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| author | Li, Benjamin Modes, Luis |
| author_facet | Li, Benjamin Modes, Luis |
| contents | We generalize a result of M. Kapranov, O. Schiffmann, and E. Vasserot by showing that, for a number field $K$ with class number one, the spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$, where $\mathcal{O}_K$ is the ring of integers of $K$, is isomorphic to the Paley-Wiener shuffle algebra associated to a Hecke $L$-function corresponding to $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$ Li, Benjamin Modes, Luis Number Theory Algebraic Geometry We generalize a result of M. Kapranov, O. Schiffmann, and E. Vasserot by showing that, for a number field $K$ with class number one, the spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$, where $\mathcal{O}_K$ is the ring of integers of $K$, is isomorphic to the Paley-Wiener shuffle algebra associated to a Hecke $L$-function corresponding to $K$. |
| title | The spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$ |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2411.17055 |