An automorphic variant of a conjecture of Deligne

DOI10.1090/conm/691/13898zbMath1434.11108arXiv1608.07643OpenAlexW4244414488MaRDI QIDQ4635110

Jie Lin

Publication date: 13 April 2018

Published in: Around Langlands Correspondences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07643

zbMATH Keywords

\(L\)-functionautomorphic periodmotivic period

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

• Period relations for automorphic forms on unitary groups and critical values of \(L\)-functions
• The central critical value of a triple product \(L\)-function
• Arithmetic applications of the Langlands program
• Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
• \(L\)-functions and periods of adjoint motives
• Period relations for automorphic induction and applications. I
• Conditional base change for unitary groups
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS
• Purity Reigns Supreme
• Beilinson–Bernstein Localization Over and Periods of Automorphic Forms
• L-functions and periods of polarized regular motives.
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