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arXiv · 2503.24221

The Categories of Lubin-Tate and Drinfeld Bundles

James Taylor
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Abstract

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 $F$.

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James Taylor. 2025-03-31. The Categories of Lubin-Tate and Drinfeld Bundles. https://doi.org/10.1017/s1474748026101625

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