Following Weinstein, Boyarchenko–Weinstein and Imai–Tsushima, we construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models such that the cohomology of the reduction of each formal model realizes the local Langlands correspondence and the local Jacquet–Langlands correspondence for certain representations. In the terminology of the essentially tame local Langlands correspondence, the representations treated here are characterized as being parametrized by minimal admissible pairs in which the field extensions are totally ramified.

中文翻译：

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Lubin-Tate 完美体空间中的仿射类和局部朗兰兹对应的特例

继 Weinstein、Boyarchenko-Weinstein 和 Imai-Tsushima 之后，我们在 Lubin-Tate 完美体空间及其形式模型中构建了一个类同形族，使得每个形式模型的约简的上同调实现了局部朗兰兹对应和局部 Jacquet-Langlands某些陈述的通信。在本质上驯服的本地朗兰兹对应的术语中，这里处理的表示被表征为由最小可允许对参数化，其中场扩展完全分支。