L-functions and periods of polarized regular motives.

DOI10.1515/crll.1997.483.75zbMath0859.11032OpenAlexW121295823MaRDI QIDQ5691476

Michael Harris

Publication date: 29 January 1997

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002214407

zbMATH Keywords

Shimura varietiesDeligne's conjectureperiod integralscritical values of \(L\)-functionsDeligne periodsabsolute Hodge motivesmotives over \(\mathbb{Q}\)polarized regular motivesself-dual cohomological cuspidal automorphic representations of the adeles of \(\text{GL}(n, \mathbb{Q})\)Tate conjecture on cycle classes in \(\ell\)-adic cohomology

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Variation of Hodge structures (algebro-geometric aspects) (14D07) Modular and Shimura varieties (14G35) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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