Spherical characters in families: The unitary Gan–Gross–Prasad case

  • Li Cai
  • , Yangyu Fan*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)61-71
Number of pages11
JournalForum Mathematicum
Volume38
Issue number1
DOIs
Publication statusPublished - 1 Jan 2026
Externally publishedYes

Keywords

  • Langlands functoriality in families
  • Spherical character
  • unitary Gan–Gross–Prasad

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