The Categories of Lubin-Tate and Drinfeld Bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911596878495744 |
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| author | Taylor, James |
| author_facet | Taylor, James |
| contents | For a finite extension $F$ of $\mathbb{Q}_p$ and $n \geq 1$, we show that the category of Lubin-Tate bundles on the $(n-1)$-dimensional Drinfeld symmetric space is equivalent to the category of finite-dimensional smooth representations of the group of units of the division algebra of invariant $1/n$ over $F$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24221 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Categories of Lubin-Tate and Drinfeld Bundles Taylor, James Number Theory Algebraic Geometry Representation Theory For a finite extension $F$ of $\mathbb{Q}_p$ and $n \geq 1$, we show that the category of Lubin-Tate bundles on the $(n-1)$-dimensional Drinfeld symmetric space is equivalent to the category of finite-dimensional smooth representations of the group of units of the division algebra of invariant $1/n$ over $F$. |
| title | The Categories of Lubin-Tate and Drinfeld Bundles |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2503.24221 |