Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
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Lubin-Tate 完美空间中的仿射流和简单的尖尖表示 II：野生情况
DOI：
10.1007/s00208-020-02106-1
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发表时间：
2021
影响因子：
1.4
通讯作者：
Tsushima Takahiro
中科院分区：
文献类型：
--
作者：
Imai Naoki;Tsushima Takahiro
我们在Lubin-Tate拟完全空间中构造了一族仿射胚及其形式模型，使得它们的约化的中上同调实现了简单超尖点表示的局部Langlands对应和局部Jacquet-Langlands对应.形式模型的约简同构于某些Artin-Schreier簇的完备性，其上同调实现了原始伽罗瓦表示。我们还表明泰特猜想的Artin-Schreier品种与二次型。
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models such that the middle cohomology of their reductions realizes the local Langlands correspondence and the local Jacquet–Langlands correspondence for the simple supercuspidal representations. The reductions of the formal models are isomorphic to the perfections of some Artin–Schreier varieties, whose cohomology realizes primitive Galois representations. We show also the Tate conjecture for Artin–Schreier varieties associated to quadratic forms.