On Arthur's class expansion of the relative trace formula

DOI10.1215/S0012-7094-91-06405-7zbMath0738.11039MaRDI QIDQ1179299

King-Fai Lai

Publication date: 26 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

relative trace formulaconvergence theoremconnected reductive algebraic groupTate's conjecture on algebraic cyclesbase change problemclass expansioncompact Shimura surfaces

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Algebraic cycles (14C25) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

Periods of automorphic forms

Cites Work

• Unnamed Item
• Algebraic cycles on compact Shimura surface
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• Sur un résultat de Waldspurger
• Relative Trace Formula and Simple Algebras
• Kloosterman integrals and base change for GL (2).