球形朗兰兹参数堆栈

arXiv - MATH - Representation Theory Pub Date : 2024-09-14 DOI:arxiv-2409.09522

Thibaud van den Hove

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引用次数: 0

摘要

对于非拱顶局部域上的还原群，我们利用朗兰兹对偶群的惯性不变式定义了球面朗兰兹参数堆。这就概括了无ramified 兰兰参数堆栈，以防该群是无ramified 的。然后，我们利用这个堆栈推导出霍奇型志村变项的艾希勒-志村全等关系，而不限制斜率。

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The stack of spherical Langlands parameters

For a reductive group over a nonarchimedean local field, we define the stack of spherical Langlands parameters, using the inertia-invariants of the Langlands dual group. This generalizes the stack of unramified Langlands parameters in case the group is unramified. We then use this stack to deduce the Eichler--Shimura congruence relations for Hodge type Shimura varieties, without restrictions on the ramification.

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arXiv - MATH - Representation Theory

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