Spectral decomposition of genuine cusp forms over global function fields

IF 1.3 1区数学 Q1 MATHEMATICS

Compositio Mathematica Pub Date : 2024-05-06 DOI:10.1112/s0010437x24007127

Yifei Zhao

引用次数: 0

Abstract

We prove the geometric Satake equivalence for étale metaplectic covers of reductive group schemes and extend the Langlands parametrization of V. Lafforgue to genuine cusp forms defined on their associated covering groups.

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全局函数域上真正顶点形式的谱分解

我们证明了还原群方案的 étale metaplectic 覆盖的几何 Satake 等价性，并将 V. Lafforgue 的 Langlands 参数化扩展到定义在其相关覆盖群上的真正尖顶形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.