Work

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

Year: 2025

Type: article

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.

Source: Forum Mathematicum

DOI: 10.1515/forum-2022-0263

Authors: Li Cai, Yangyu Fan

Institutions: Capital Normal University, Beijing Institute of Technology

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G1005980040, G3173188676, G5908440605, G756713944