Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
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Lubin-Tate 完美空间中的仿射流和简单的尖尖表示 I：驯服的情况
DOI：
10.1093/imrn/rny229
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发表时间：
2019
影响因子：
1
通讯作者：
Naoki Imai and Takahiro Tsushima
中科院分区：
文献类型：
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作者：
Naoki Imai and Takahiro Tsushima
在Lubin-Tate完美似然空间中构造了一类仿射类及其形式模型，使得形式模型约简的中上同调实现了伽罗瓦表示维数为残数特征的素数时，简单超尖形表示的局部Langlands对应和局部Jacquet-Langlands对应。形式模型的约简与二次型相关的Artin-Schreier变分的完美性是同构的。
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models such that the middle cohomology of the reductions of the formal models realizes the local Langlands correspondence and the local Jacquet-Langlands correspondence for simple supercuspidal representations in the case where the dimension of Galois representations is prime to the residue characteristic. The reductions of the formal models are isomorphic to the perfections of Artin–Schreier varieties associated to quadratic forms.