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

collaborators

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10 papers · 1 filter

math.RT2024

On generic representations of quasi-split reductive groups over local fields of positive characteristic

Héctor del Castillo, Guy Henniart, Luis Lomelí

Let $F$ be a locally compact non-Archimedean field, and $G$ a connected quasi-split reductive group over $F$ . We are interested in complex irreducible smooth generic representa…

math.RT2024

Reducibility points and characteristic $p$ local fields I- Simple supercuspidal representations of symplectic groups

Corinne Blondel, Guy Henniart, Shaun Stevens

Let $F$ be a non-Archimedean local field with odd characteristic $p$ . Let $N$ be a positive integer and $G = S p_{2 N} (F)$ . By work of Lomelí on $γ$ -factors of pairs and converse theor…

math.RT2024

Representations of $S L_{2} (F)$

Guy Henniart, Marie-France Vignéras

Let $p$ be a prime number, $F$ a non-archimedean local field with residue characteristic $p$ , and $R$ an algebraically closed field of characteristic different from $p$ . We thoro…

math.RT2023★ 1 cited

Simple cuspidal representations of symplectic groups: Langlands parameter

Corinne Blondel, Guy Henniart, Shaun Stevens

Let $F$ be a non-archimedean local field of odd residual characteristic. We compute the Jordan set of a simple cuspidal representation of a symplectic group over $F$ , using explici…

math.RT2017

Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p \neq = 2$ . Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group…

math.RT2017★ 12 cited

Jordan blocks of cuspidal representations of symplectic groups

Corinne Blondel, Guy Henniart, Shaun Stevens

Let $G$ be a symplectic group over a nonarchimedean local field of characteristic zero and odd residual characteristic. Given an irreducible cuspidal representation of G, we determ…

math.RT2016★ 3 cited

Local Langlands correspondence and ramification for Carayol representations

Colin J. Bushnell, Guy Henniart

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

math.RT2013

Weil representations over finite fields and Shintani lift

Guy Henniart, Chun-Hui Wang

Let Sp_V(F) be the group of isometries of a symplectic vector space V over a finite field F of odd cardinality. The group Sp_V(F) possesses distinguished representations--- the Wei…

math.RT2011★ 13 cited

Intertwining of simple characters in GL(n)

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = GL_{n} (F)$ . Let $θ_{1}$ , $θ_{2}$ be simple characters in $G$ . We show that $θ_{1}$ intertwi…

math.RT2011★ 1 cited

To an effective local Langlands Corrspondence

Colin J. Bushnell, Guy Henniart

Let $F$ be a non-Archimedean local field. Let $\Cal W_F$ be the Weil group of $F$ and $\Cal P_F$ the wild inertia subgroup of $\scr W_F$. Let $\hat{\Cal W}_F$ be the set of equival…

On generic representations of quasi-split reductive groups over local fields of positive characteristic

Reducibility points and characteristic p local fields I- Simple supercuspidal representations of symplectic groups

Representations of SL2​(F)

Simple cuspidal representations of symplectic groups: Langlands parameter

Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Jordan blocks of cuspidal representations of symplectic groups

Local Langlands correspondence and ramification for Carayol representations

Weil representations over finite fields and Shintani lift

Intertwining of simple characters in GL(n)

To an effective local Langlands Corrspondence

Reducibility points and characteristic $p$ local fields I- Simple supercuspidal representations of symplectic groups

Representations of $S L_{2} (F)$