The trace class conjecture for arithmetic groups

DOI10.4310/jdg/1214460610zbMath0926.11034OpenAlexW1588155137WikidataQ115174797 ScholiaQ115174797MaRDI QIDQ1128149

Lizhen Ji

Publication date: 28 October 1998

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214460610

zbMATH Keywords

Eisenstein seriesautomorphic formsSelberg trace formuladiscrete spectrumscattering matrixpseudo-Laplacianreductive Lie groupWeyl lawtrace class conjecture

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

On the spectral side of Arthur's trace formula -- absolute convergence ⋮ Equidistribution of holonomy about closed geodesics ⋮ The spectral side of Arthur's trace formula ⋮ On the remainder term of the Weyl law for congruence subgroups of Chevalley groups

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