On the continuity of Arthur’s trace formula: the semisimple terms

DOI10.1112/S0010437X11004891zbMath1266.11072MaRDI QIDQ3008415

Tobias Finis, Erez M. Lapid

Publication date: 15 June 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

trace formulaSchwartz spaceweighted orbital integralssemisimple element

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on (p)-adic Lie groups (22E35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (12)

Holomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\) ⋮ A nonabelian trace formula ⋮ Absolute convergence of the twisted trace formula ⋮ On the continuity of the geometric side of the trace formula ⋮ Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\) ⋮ Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions ⋮ Nonabelian Fourier transforms for spherical representations ⋮ On the spectral side of Arthur's trace formula -- absolute convergence ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ On the remainder term of the Weyl law for congruence subgroups of Chevalley groups ⋮ On the asymptotics of Hecke operators for reductive groups ⋮ On the Braverman-Kazhdan proposal for local factors: spherical case

Cites Work

• Geometric estimates for the trace formula
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• The spectral side of Arthur's trace formula
• Fully Reducible Subgroups of Algebraic Groups
• A measure on the Unipotent Variety
• On a Family of Distributions obtained from Orbits

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