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

被引：0

作者：

Cai, Li ^{[2
]}

Fan, Yangyu ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Key Lab Algebra Lie Theory & Anal, Minist Educ, Beijing 100081, Peoples R China

[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing Natl Ctr Appl Math, Beijing 100048, Peoples R China

来源：

FORUM MATHEMATICUM | 2025年

关键词：

Spherical character; unitary Gan-Gross-Prasad; Langlands functoriality in families;

D O I：

10.1515/forum-2022-0263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：11

共 44 条

[21] TWISTED GAN-GROSS-PRASAD CONJECTURE FOR CERTAIN TEMPERED L-PACKETS
Chen, Rui
Gan, Wee Teck
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2025, 24 (01) : 17 - 39
[22] DUALITY FOR GENERALIZED GAN-GROSS-PRASAD RELEVANT PAIRS FOR p-ADIC GLn
Chan, Kei Yuen
arXiv, 2022,
[23] The local Gan-Gross-Prasad conjecture for U(3) x U(2): The non-generic case
Haan, Jaeho
JOURNAL OF NUMBER THEORY, 2016, 165 : 324 - 354
[24] A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts
Corbett, Andrew J.
FORUM MATHEMATICUM, 2017, 29 (01) : 59 - 90
[25] On the Gan-Gross-Prasad conjecture and its refinement for (U (2n) , U (1))
Furusawa, Masaaki
Morimoto, Kazuki
MATHEMATISCHE ANNALEN, 2025, 391 (03) : 3799 - 3862
[26] REGULARIZED PERIODS AND THE GLOBAL GAN-GROSS-PRASAD CONJECTURE: THE CASE OF U(n + 2r) × U(n)
Haan, Jaeho
arXiv, 2020,
[27] Refined global Gan-Gross-Prasad conjecture for Fourier-Jacobi periods on symplectic groups
Xue, Hang
COMPOSITIO MATHEMATICA, 2017, 153 (01) : 68 - 131
[28] The local Gan-Gross-Prasad conjecture for U(n+1) x U(n): A non-generic case
Haan, Jaeho
JOURNAL OF NUMBER THEORY, 2022, 233 : 1 - 23
[29] Regularized periods and the global Gan-Gross-Prasad conjecture: the case of U(n+2r) x U(n)
Haan, Jaeho
MATHEMATISCHE ANNALEN, 2024, 389 (04) : 4149 - 4198
[30] Restriction for general linear groups: The local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)
Chan, Kei Yuen
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (783): : 49 - 94

← 1 2 3 4 5 →