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

29 papers

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.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…

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

On Swan exponents of symmetric and exterior square Galois representations

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

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

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