Langlands Functoriality Conjecture

DOI10.5666/KMJ.2009.49.2.355zbMATH Open1218.11052arXiv0808.0917WikidataQ123231389 ScholiaQ123231389MaRDI QIDQ3184258

Jae-Hyun Yang

Publication date: 14 October 2009

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Abstract: Functoriality conjecture is one of the central subjects of the present-day mathematics. Functoriality is the profound problem formulated by Robert Langlands in the late 1960s in order to establish nonabelian class field theory. In this expository paper, we describe the Langlands-Shahidi method, the local and global Langlands conjectures and the converse theorems which are powerful tools for the establishment of functoriality of some important cases, and survey the interesting results related to functoriality conjecture.

Full work available at URL: https://arxiv.org/abs/0808.0917

zbMATH Keywords

automorphic representationsautomorphic L-functionsLanglands conjectures

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (4)

The metaplectic tensor product as an instance of Langlands functoriality ⋮ Langlands' Functoriality and the Weil Representation ⋮ Parametres de Langlands et Algebres D'Entrelacement ⋮ Title not available (Why is that?)

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