G. Henniart

activity

20042024

most citedLanglands parameters for epipelagic representations of

GL_{n}

37 citations · 157 across the 27 of their papers we have counts for

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19 papers · 1 filter

math.NT2023

On Swan exponents of symmetric and exterior square Galois representations

Guy Henniart, Masao Oi

Let $F$ be a local non-Archimedean field and $E$ a finite Galois extension of $F$ , with Galois group $G$ . If $ρ$ is a representation of $G$ on a complex vector space $V$ , we may co…

math.NT2023★ 3 cited

Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields

Moshe Adrian, Guy Henniart, Eyal Kaplan +1

We consider the split special orthogonal group $SO_{N}$ defined over a $p$ -adic field. We determine the structure of any $L$ -packet of $SO_{N}$ containing a simpl…

math.NT2022★ 3 cited

Simple supercuspidal L-packets of symplectic groups over dyadic fields

Guy Henniart, Masao Oi

We consider the symplectic group $Sp_{2 n}$ defined over a $p$ -adic field $F$ , where $p = 2$ . We prove that every simple supercuspidal representation (in the sense of Gross--…

math.NT2020★ 5 cited

Representations of a reductive $p$ -adic group in characteristic distinct from $p$

Guy Henniart, Marie-France Vignéras

We investigate the irreducible cuspidal $C$ -representations of a reductive $p$ -adic group $G$ over a field $C$ of characteristic different from $p$ . When $C$ is algebraically close…

math.NT2018

Tame multiplicity and conductor for local Galois representations

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ . Let $σ$ be an irreducible smooth representation of the absolute Weil group $\Cal W_F$ of $F$ and…

math.NT2017★ 2 cited

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

G. Henniart, M. -F. Vignéras

Let $F$ be a locally compact non-archimedean field of residue characteristic $p$ , $G$ a connected reductive group over $F$ , and $R$ a field of characteristic $p$ . When $R$ …

math.NT2017★ 4 cited

On pro- $p$ -Iwahori invariants of $R$ -representations of reductive $p$ -adic groups

Noriyuki Abe, Guy Henniart, Marie-France Vigneras

Let $F$ be locally compact field with residue characteristic $p$ , and $G$ a connected reductive $F$ -group. Let $U$ be a pro- $p$ Iwahori subgroup of $G = \mathbf{…

math.NT2017★ 5 cited

Modulo $p$ representations of reductive $p$ -adic groups: functorial properties

Noriyuki Abe, Guy Henniart, Marie-France Vignéras

Let $F$ be a local field with residue characteristic $p$ , let $C$ be an algebraically closed field of characteristic $p$ , and let $G$ be a connected reductive $F$ -group. I…

math.NT2017★ 6 cited

Questions on mod p representations of reductive p-adic groups

Noriyuki Abe, Guy Henniart, Florian Herzig +1

This is a list of questions raised by our joint work arXiv:1412.0737 and its sequels.

math.NT2017★ 2 cited

Asai cube L-functions and the local Langlands conjecture

G. Henniart, L. Lomelí

Let $F$ be a non-archimedean locally compact field. We study a class of Langlands-Shahidi pairs $(H, L)$ , consisting of a quasi-split connected reductive group $H$ o…

math.NT2016

Shintani relation for base change: unitary and elliptic representations

A. I. Badulescu, G. Henniart

Let $E / F$ be a cyclic extension of $p$ -adic fields and $n$ a positive integer. Arthur and Clozel constructed a base change process $π \mapsto π_{E}$ which associates to a smooth irred…

math.NT2016

Strong exponent bounds for the local Rankin-Selberg convolution

Colin J Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field. Let $σ$ and $τ$ be finite-dimensional semisimple representations of the Weil-Deligne group of $F$ . We give strong upper and lowe…

math.NT2015

Higher ramification and the local Langlands correspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field. We show that the local Langlands correspondence over $F$ has a strong property generalizing the higher ramification theorem of l…

math.NT2014★ 33 cited

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

Noriyuki Abe, Guy Henniart, Florian Herzig +1

Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. W…

math.NT2013

Uniqueness of Rankin-Selberg products

Guy Henniart, Luis Lomelí

In the present paper, we show the equality of the $γ$ -factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results ar…

math.NT2013★ 37 cited

Langlands parameters for epipelagic representations of $GL_{n}$

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field. An irreducible cuspidal representation of $GL_{n} (F)$ is epipelagic if its Swan conductor equals 1. We give a full and explicit d…

math.NT2011★ 8 cited

A congruence property of the local Langlands correspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field of residual characteristic $p$ , and $ℓ$ a prime number, $ℓ \neq = p$ . We consider the Langlands correspondence, between irreducible, $n…

math.NT2009★ 4 cited

Characterization of γ-factors: the Asai case

Guy Henniart, Luis Lomelí

Let $E$ be a separable quadratic extension of a locally compact field $F$ of positive characteristic. Asai γ-factors are defined for smooth irreducible representations πof ${\rm GL…

math.NT2004★ 15 cited

Functorial products for $G L_{2} \times G L_{3}$ and the symmetric cube for $G L_{2}$

Henry H. Kim, Freydoon Shahidi, Colin J. Bushnell +1

In this paper we prove two new cases of Langlands functoriality. The first is a functorial product for cusp forms on $G L_{2} \times G L_{3}$ as automorphic forms on $G L_{6}$ , from which we…

On Swan exponents of symmetric and exterior square Galois representations

Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields

Simple supercuspidal L-packets of symplectic groups over dyadic fields

Representations of a reductive p-adic group in characteristic distinct from p

Tame multiplicity and conductor for local Galois representations

Representations of a p-adic group in characteristic p

On pro-p-Iwahori invariants of R-representations of reductive p-adic groups

Modulo p representations of reductive p-adic groups: functorial properties

Questions on mod p representations of reductive p-adic groups

Asai cube L-functions and the local Langlands conjecture

Shintani relation for base change: unitary and elliptic representations

Strong exponent bounds for the local Rankin-Selberg convolution

Higher ramification and the local Langlands correspondence

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

Uniqueness of Rankin-Selberg products

Langlands parameters for epipelagic representations of GLn​

A congruence property of the local Langlands correspondence

Characterization of γ-factors: the Asai case

Functorial products for GL2​×GL3​ and the symmetric cube for GL2​

Representations of a reductive $p$ -adic group in characteristic distinct from $p$

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

On pro- $p$ -Iwahori invariants of $R$ -representations of reductive $p$ -adic groups

Modulo $p$ representations of reductive $p$ -adic groups: functorial properties

Langlands parameters for epipelagic representations of $GL_{n}$

Functorial products for $G L_{2} \times G L_{3}$ and the symmetric cube for $G L_{2}$