ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS (Q5208039)

scientific article; zbMATH DE number 7151185

Language	Label	Description	Also known as
English	ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS	scientific article; zbMATH DE number 7151185

Statements

instance of

scholarly article

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title

ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS (English)

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author

Florian Herzig

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Karol Kozioł

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Marie-France Vignéras

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published in

Forum of Mathematics, Sigma

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publication date

15 January 2020

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full work available at URL

https://arxiv.org/abs/1905.00053

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zbMATH Keywords

nonarchimedean field

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reductive group

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admissible supercuspidal representation

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Iwahori-Hecke algebra

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Jacquet-Langlands correspondence

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base change

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MaRDI profile type

MaRDI publication profile

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cites work

Q5177855

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A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups

0 references

JACQUET–LANGLANDS ET UNITARISABILITÉ

0 references

Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac.

0 references

Local-global compatibility for $l=p$, II

0 references

Potential automorphy and change of weight

0 references

Irreducible modular representations of GL$_ 2$ of a local field

0 references

Q3734747

0 references

A short proof of the existence of supercuspidal representations for all reductive $p$-adic groups

0 references

Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂

0 references

First steps towards p-adic Langlands functoriality

0 references

Explicit functorial correspondences for level zero representations of $p$-adic linear groups

0 references

Q3155713

0 references

Mod $p$ representations of $\mathrm{SL}_2(\mathbb Q_p)$

0 references

Q3484924

0 references

Représentations galoisiennes associées aux représentations automorphes autoduales de $GL(n)$. (Galois representations associated with self-dual automorphic representations of $GL(n)$)

0 references

Automorphy for some $l$-adic lifts of automorphic mod $l$ Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

0 references

Modularity of certain potentially Barsotti-Tate Galois representations

0 references

Q3708223

0 references

Weight cycling and Serre-type conjectures for unitary groups

0 references

Q4674798

0 references

General Serre weight conjectures

0 references

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

0 references

Q3317203

0 references

Q3183922

0 references

Q2883359

0 references

Comparison of compact induction with parabolic induction

0 references

A Satake isomorphism for representations modulo $p$ of reductive groups over local fields

0 references

Representations of a $p$-adic group in characteristic $p$

0 references

The classification of irreducible admissible mod $p$ representations of a $p$-adic $\mathrm{GL}_n$

0 references

On some supersingular representations of $\mathrm{GL}_2 (\mathbb Q_{p^f})$

0 references

Cuspidal geometry of p-adic groups

0 references

Sign Changes in Harmonic Analysis on Reductive Groups

0 references

Tamagawa numbers

0 references

A classification of the irreducible mod-$p$ representations of $U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$

0 references

Hecke modules and supersingular representations of U(2,1)

0 references

On some nonadmissible smooth irreducible representations for $\mathrm{GL}_2$

0 references

Some Examples of Square Integrable Representations of Semisimple p-Adic Groups

0 references

Q3997989

0 references

Q4267496

0 references

Parabolic induction in characteristic $p$

0 references

Q3167683

0 references

Q4002684

0 references

Automorphic Representation of Unitary Groups in Three Variables. (AM-123)

0 references

Q3050630

0 references

$l$-modular representations of a $p$-adic reductive group with $l\neq p$

0 references

Pro-$p$-Iwahori Hecke ring and supersingular $\bar{\text F}_p$-representations

0 references

Q3499985

0 references

Q2935477

0 references

The pro--Iwahori Hecke algebra of a reductive -adic group I

0 references

THE PRO-<i>p</i>-IWAHORI HECKE ALGEBRA OF A REDUCTIVE<i>p</i>-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES)

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Identifiers

zbMATH Open document ID

1462.22002

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DOI

10.1017/fms.2019.50

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5208039