English

Twisted GGP Problems and Conjectures

Representation Theory 2023-04-25 v2 Number Theory

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 WVW \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=VW = V.

Keywords

Cite

@article{arxiv.2204.10108,
  title  = {Twisted GGP Problems and Conjectures},
  author = {Wee Teck Gan and Benedict H. Gross and Dipendra Prasad},
  journal= {arXiv preprint arXiv:2204.10108},
  year   = {2023}
}

Comments

Revised and final version; to appear in Compositio Mathematica

R2 v1 2026-06-24T10:54:42.236Z