Period relations for automorphic induction and applications. I

DOI10.1016/j.crma.2014.10.016zbMath1305.11040arXiv1511.03517OpenAlexW2167320926MaRDI QIDQ2256792

Jie Lin

Publication date: 23 February 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03517

zbMATH Keywords

periodscuspidal representationautomorphic induction

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)

Related Items (4)

\(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields ⋮ On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\) ⋮ WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS ⋮ An automorphic variant of a conjecture of Deligne

Cites Work

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• The central critical value of a triple product \(L\)-function
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
• The local Langlands conjecture for \(GL(n)\) over a \(p\)-adic field, \(n<p\)
• Conditional base change for unitary groups
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• L-Functions of 2 × 2 Unitary Groups and Factorization of Periods of Hilbert Modular Forms
• L-functions and periods of polarized regular motives.

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