Langlands parameters, functoriality and Hecke algebras

DOI10.2140/pjm.2020.304.209OpenAlexW3102384784WikidataQ126309734 ScholiaQ126309734MaRDI QIDQ2305480

Maarten Solleveld

Publication date: 11 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12693

zbMATH Keywords

Hecke algebrasrepresentationslocal Langlands correspondencereductive groupsfunctoriality

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Langlands-Weil conjectures, nonabelian class field theory (11S37) Linear algebraic groups over local fields and their integers (20G25)

Related Items (4)

ON FORMAL DEGREES OF UNIPOTENT REPRESENTATIONS ⋮ Representations of reductive groups over local fields ⋮ A local Langlands correspondence for unipotent representations ⋮ On unipotent representations of ramified 𝑝-adic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigid inner forms of real and \(p\)-adic groups
• \(R\)-groups and parameters
• L-packets of quasisplit \(GSp(2n)\) and \(GO(2n)\)
• A note on \(L\)-packets
• L-indistinguishability and R groups for the special linear group
• Analyse harmonique dans les systèmes de Tits bornologiques de type affine
• \({\mathcal D}\)-elliptic sheaves and the Langlands correspondence
• Langlands classification for L-parameters
• Generalizations of the Springer correspondence and cuspidal Langlands parameters
• On representations of \(p\)-adic \(\text{GL}_ 2(\mathcal D)\).
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\)
• On certain multiplicity one theorems
• Genericity and contragredience in the local Langlands correspondence
• Automorphic forms on GL (2)
• On multiplicity in restriction of tempered representations of \(p\)-adic groups
• Notes on representation theory of non-Archimedean \(SL(n)\)
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On the classification of irreducible representations of affine Hecke algebras with unequal parameters
• On 𝐿-packets for inner forms of 𝑆𝐿_{𝑛}
• Distribution Algebras on p-adic Groups and Lie Algebras
• Contragredient representations and characterizing the local Langlands correspondence
• Affine Hecke Algebras and Their Graded Version
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Isogeny Restrictions of Irreducible Admissible Representations are Finite Direct Sums of Irreducible Admissible Representations
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Types and Hecke algebras for principal series representations of split reductive p-adic groups
• Une caractérisation de la correspondance de Langlands locale pour ${\rm GL}(n)$
• Isogenies of Hecke algebras and a Langlands correspondence for ramified principal series representations
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• Classification of unipotent representations of simple 𝑝-adic groups, II
• Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• The principal series of p‐adic groups with disconnected center
• On a lifting problem of L-packets

This page was built for publication: Langlands parameters, functoriality and Hecke algebras