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- W4362679672 abstract "Let $p geq 5$ be a prime number and let $G = SL_2(mathbb{Q}_p)$. Let $Xi$ = Spec$(Z)$ denote the spectrum of the centre $Z$ of the pro-$p$ Iwahori Hecke algebra of $G$ with coefficients in a field $k$ of characteristic $p$. Let $mathcal{R} subset Xi times Xi$ denote the support of the pro-$p$ Iwahori Ext-algebra of $G$, viewed as a $(Z,Z)$-bimodule. We show that the locally ringed space $Xi/mathcal{R}$ is a projective algebraic curve over Spec$(k)$ with two connected components, and that each connected component is a chain of projective lines. For each Zariski open subset $U$ of $Xi/mathcal{R}$, we construct a stable localising subcategory $mathcal{L}_U$ of the category of smooth $k$-linear representations of $G$." @default.
- W4362679672 created "2023-04-07" @default.
- W4362679672 creator A5002685409 @default.
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- W4362679672 date "2023-04-05" @default.
- W4362679672 modified "2023-09-25" @default.
- W4362679672 title "Stability in the category of smooth mod-p representations of SL_2(Qp)" @default.
- W4362679672 doi "https://doi.org/10.48550/arxiv.2304.02585" @default.
- W4362679672 hasPublicationYear "2023" @default.
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