The Selberg-Arthur trace formula. Based on lectures by James Arthur

DOI10.1007/BFb0092305zbMath0769.11026MaRDI QIDQ1189516

Salahoddin Shokranian

Publication date: 18 September 1992

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Selberg trace formulaMaass wave formfinite groupautomorphic representationskernel functionsadele groupsadelic weighted orbital integralsArthur's reduction theoryArthur's trace formula for \(GL(n)\)inner products of truncated Eisenstein seriesLanglands-Arthur formulaRoelcke-Selberg spectral decomposition

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (10)

The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ Twisted conjugacy classes in nilpotent groups. ⋮ Twisted conjugacy classes in saturated weakly branch groups. ⋮ Geometry of Reidemeister classes and twisted Burnside theorem ⋮ REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Qⁿ ⋊ ℤ AND ℤ[1/pⁿ ⋊ ℤ, p PRIME] ⋮ On the Euler characteristic of the discrete spectrum ⋮ Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani) ⋮ Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy ⋮ Effective twisted conjugacy separability of nilpotent groups

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