On the automorphic induction for radical \(p\)-extensions and some other functorial operations \(\pmod p\)

DOI10.25537/dm.2017v22.1149-1180zbMath1441.11126MaRDI QIDQ1677383

Laurent Clozel

Publication date: 21 November 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Hecke operatorsLanglands functorialityradical extensionautomorphic inductionArtin character

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39) Cohomology of arithmetic groups (11F75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the rigid cohomology of certain Shimura varieties
• Modular forms over the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\)
• Level raising and symmetric power functoriality. II
• On torsion in the cohomology of locally symmetric varieties
• 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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
• The local Langlands conjecture for \(GL(n)\) over a \(p\)-adic field, \(n<p\)
• Potential automorphy and change of weight
• Level-raising and symmetric power functoriality, I
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Harmonic analysis in weighted L2-spaces
• La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n
• The asymptotic growth of torsion homology for arithmetic groups
• Modularity lifting theorems for Galois representations of unitary type
• Functoriality, Smith theory, and the Brauer homomorphism

This page was built for publication: On the automorphic induction for radical \(p\)-extensions and some other functorial operations \(\pmod p\)