Isolation of the cuspidal spectrum: the function field case

DOI10.1007/S11425-020-1851-YzbMath1502.11057arXiv2104.09825OpenAlexW3184973539MaRDI QIDQ2154752

Bin Xu, Li Cai

Publication date: 14 July 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09825

zbMATH Keywords

trace formulaHecke algebraautomorphic representationcuspidal spectrum

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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• Existence and Weyl's law for spherical cusp forms
• On the cuspidal spectrum for finite volume symmetric spaces
• Chevalley groups over function fields and automorphic forms
• Shtukas and the Taylor expansion of \(L\)-functions
• Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
• On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
• The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case

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