Arithmetic applications of the Langlands program

DOI10.1007/s11537-010-0945-6zbMath1203.11040OpenAlexW2147059337MaRDI QIDQ977701

Michael Harris

Publication date: 23 June 2010

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-010-0945-6

zbMATH Keywords

Galois representationsSato-Tate conjectureLanglands programstable trace formulafundamental Lemma

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

Families of L-Functions and Their Symmetry, Modularity of Galois representations and Langlands functoriality, An automorphic variant of a conjecture of Deligne, Around the Langlands program, On the non-abelian global class field theory

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