$$ell $$ -adic系数中的本地朗兰兹对应关系

Pub Date : 2024-06-21 DOI:10.1007/s00229-024-01582-y

Naoki Imai

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引用次数: 0

摘要

让 $ell$ 是一个与非archimedean局部域F的残差特征不同的素数。我们给出了F上连接的还原代数群的$ell$-adic局部朗兰兹对应关系的公式，我们猜想它与$ell$-adic系数域和复数域之间的同构选择无关。

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Local Langlands correspondences in $$\ell $$ -adic coefficients

Let $\ell $ be a prime number different from the residue characteristic of a non-archimedean local field F. We give formulations of $\ell $-adic local Langlands correspondences for connected reductive algebraic groups over F, which we conjecture to be independent of a choice of an isomorphism between the $\ell $-adic coefficient field and the complex number field.

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