Hecke algebras for $p$-adic reductive groups and local Langlands correspondences for Bernstein blocks (Q6142419)

scientific article; zbMATH DE number 7781628

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English	Hecke algebras for $p$-adic reductive groups and local Langlands correspondences for Bernstein blocks	scientific article; zbMATH DE number 7781628

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instance of

scholarly article

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title

Hecke algebras for $p$-adic reductive groups and local Langlands correspondences for Bernstein blocks (English)

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Advances in Mathematics

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publication date

21 December 2023

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full work available at URL

https://arxiv.org/abs/2202.01305

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zbMATH Keywords

representation of $p$-adic group

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Hecke algebra

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Bernstein center

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local Langlands correspondence

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MaRDI profile type

MaRDI publication profile

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cites work

Conjectures about 𝑝-adic groups and their noncommutative geometry

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HECKE ALGEBRAS FOR INNER FORMS OF -ADIC SPECIAL LINEAR GROUPS

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The principal series of p‐adic groups with disconnected center

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Regular Bernstein blocks

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Generalizations of the Springer correspondence and cuspidal Langlands parameters

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Q2860722

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Q3734747

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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)

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Smooth representations of reductive <i>p</i> -ADIC groups: structure theory via types

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A construction method for induced types and its application to $G_2$

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Q4200278

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Reductive groups over a local field

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Representations of reductive groups over finite fields

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Types for tame $p$-adic groups

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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The stable Bernstein center and test functions for Shimura varieties

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Intertwining operators and Hecke algebras with parameters from a reductive $p$-adic group: The case of the classical groups.

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A simple proof of Langlands conjectures for $\text{GL}_n$ on a $p$-adic field

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Distinguished Tame Supercuspidal Representations

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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Epipelagic $L$-packets and rectifying characters

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Regular supercuspidal representations

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Supercuspidal L-packets via isocrystals

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Construction of tame types

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Intersection cohomology complexes on a reductive group

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Affine Hecke Algebras and Their Graded Version

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Q4011109

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Q4880956

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Classification of unipotent representations of simple 𝑝-adic groups, II

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Bernstein center of supercuspidal blocks

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Centre de Bernstein dual pour les groupes classiques

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Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups

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The unitary dual of $p$-adic $G_2$

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Types and Hecke algebras for principal series representations of split reductive p-adic groups

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Q4797984

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Q3635891

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The local Langlands correspondence for $\mathrm{GL}_n$ over $p$-adic fields

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Q4733917

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Q4012130

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Endomorphism algebras and Hecke algebras for reductive $p$-adic groups

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LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA

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Construction of tame supercuspidal representations

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Identifiers

arXiv ID

2202.01305

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Mathematics Subject Classification ID

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10.1016/J.AIM.2023.109384

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Sitelinks

Mathematics(1 entry)

mardi Publication:6142419

Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks (Q6142419)

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Identifiers

Sitelinks

Mathematics(1 entry)