扭曲的GGP问题和猜想

IF 1.3 1区数学 Q1 MATHEMATICS

Compositio Mathematica Pub Date : 2023-07-31 DOI:10.1112/S0010437X23007327

W. Gan, B. Gross, Dipendra Prasad

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引用次数: 5

摘要

在之前的三篇论文中，我们考虑了经典群(局部和全局域上)的一类限制问题，并使用局部和全局朗兰兹对应给出了这些问题的精确答案。这些限制问题是用正交、厄密、辛或斜厄密空间的一对W \子集V$来表示的。在本文中，我们考虑了这些猜想在一种特殊情况下的扭曲变体:一对歪斜厄米空间$W = V$。

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Twisted GGP problems and conjectures

In a series of three earlier papers, we considered a family of restriction problems for classical groups (over local and global fields) and proposed precise answers to these problems using the local and global Langlands correspondence. These restriction problems were formulated in terms of a pair $W \subset V$ of orthogonal, Hermitian, symplectic, or skew-Hermitian spaces. In this paper, we consider a twisted variant of these conjectures in one particular case: that of a pair of skew-Hermitian spaces $W = V$.

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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.