Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations

DOI10.1215/00127094-2916104zbMath1321.22019arXiv1206.4413OpenAlexW4378347228MaRDI QIDQ2352763

Florian Herzig

Publication date: 6 July 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4413

zbMATH Keywords

Galois representationsrepresentations of \(p\)-adic groups\(p\)-adic Langlandslocal-global compatibility\(\text{mod\,}p\) Langlandsfundamental algebraic representations

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (22)

Locally algebraic vectors in the Breuil-Herzig ordinary part ⋮ Locally analytic socle. I. ⋮ A note on crystalline liftings in the Q_p case ⋮ Crystalline liftings and the weight part of Serre's conjecture ⋮ The Fontaine-Mazur conjecture in the residually reducible case ⋮ Sur un problème de compatibilité local-global localement analytique ⋮ On mod local-global compatibility for in the ordinary case ⋮ On a conjecture of Breuil-Herzig ⋮ Ordinary modular forms and companion points on the eigencurve ⋮ An adjunction formula for the Emerton-Jacquet functor ⋮ Multivariable \((\varphi ,\Gamma )\)-modules and smooth \(o\)-torsion representations ⋮ Potentially crystalline deformation rings in the ordinary case ⋮ A modular interpretation of the trianguline variety ⋮ On the automorphic atoms of length 2 of \(\mathrm{GL}_2(\mathbb{Q}_p)\) ⋮ Parabolic induction and extensions ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I. ⋮ Local Langlands correspondence in rigid families ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS ⋮ Towards the locally analytical socle for \(\mathrm{GL}_n\). II ⋮ Serre weight conjectures for \(p\)-adic unitary groups of rank 2 ⋮ Compléments sur les extensions entre séries principales p-adiques et modulo p de GL(F)

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