English

Spherical Characters in Families: the unitary Gan-Gross-Prasad case

Representation Theory 2023-05-22 v1 Number Theory

Abstract

We consider the variation of spherical characters in families. We formulate conjectures for the rationality and meromorphic property of spherical characters. As an example, we establish these conjectures in the unitary Gan-Gross-Prasad case.

Keywords

Cite

@article{arxiv.2305.11555,
  title  = {Spherical Characters in Families: the unitary Gan-Gross-Prasad case},
  author = {Li Cai and Yangyu Fan},
  journal= {arXiv preprint arXiv:2305.11555},
  year   = {2023}
}

Comments

Part of the results overlaps with arXiv:2107.05921