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- W2962959725 abstract "In this article we show that the quotient ${mathcal{M}}_{infty }/B(mathbb{Q}_{p})$ of the Lubin–Tate space at infinite level ${mathcal{M}}_{infty }$ by the Borel subgroup of upper triangular matrices $B(mathbb{Q}_{p})subset operatorname{GL}_{2}(mathbb{Q}_{p})$ exists as a perfectoid space. As an application we show that Scholze’s functor $H_{acute{text{e}}text{t}}^{i}(mathbb{P}_{mathbb{C}_{p}}^{1},{mathcal{F}}_{unicode[STIX]{x1D70B}})$ is concentrated in degree one whenever $unicode[STIX]{x1D70B}$ is an irreducible principal series representation or a twist of the Steinberg representation of $operatorname{GL}_{2}(mathbb{Q}_{p})$ ." @default.
- W2962959725 created "2019-07-30" @default.
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- W2962959725 date "2017-01-01" @default.
- W2962959725 modified "2023-10-16" @default.
- W2962959725 title "A QUOTIENT OF THE LUBIN–TATE TOWER" @default.
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- W2962959725 doi "https://doi.org/10.1017/fms.2017.15" @default.
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