Twisted GGP Problems and Conjectures

2022/04/21 by Wee Teck Gan, Benedict H. Gross, Gan, Wee Teck +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Primary 11F70 #Representation Theory (math.RT) #Secondary 22E55

paper · pdf · doi:10.48550/arxiv.2204.10108

openalex publication_date 2022/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In an earlier work, 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 ⊂ 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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