Generalizations of the Springer correspondence and cuspidal Langlands parameters

DOI10.1007/s00229-018-1001-8zbMath1414.11161arXiv1511.05335OpenAlexW2963526139MaRDI QIDQ1673759

Maarten Solleveld, Anne-Marie Aubert, Ahmed Moussaoui

Publication date: 14 September 2018

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

Full work available at URL: https://arxiv.org/abs/1511.05335

zbMATH Keywords

local Langlands correspondencegeneralized Springer correspondencecuspidal Langlands parameters

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (16)

ON FORMAL DEGREES OF UNIPOTENT REPRESENTATIONS ⋮ Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups ⋮ Langlands classification for L-parameters ⋮ The Local Langlands Conjecture for ⋮ A local Langlands correspondence for unipotent representations ⋮ Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks ⋮ On unipotent representations of ramified 𝑝-adic groups ⋮ Some aspects of the geometric structure of the smooth dual of $p$-adic reductive groups ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ Affine Hecke algebras and their representations ⋮ Around the Langlands program ⋮ COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS ⋮ Jacquet modules and local Langlands correspondence ⋮ Langlands parameters, functoriality and Hecke algebras ⋮ Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen) ⋮ Unnamed Item

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