J. Trias

activity

20222026

collaborators

7 papers

math.RT2026

On the rationality of the Weil Representation and the local theta correspondence

Justin Trias

We prove that the Weil representation over a non-archimedean local field can be realised with coefficients in a number field. We give an explicit descent argument to describe preci…

math.RT2026

Modular Weil representation and compatibility of cuspidals with congruences

Justin Trias

Let $F$ be a non-archimedean local field of characteristic different from $2$ and of residual characteristic $p$ . We generalise the theory of the Weil representation over $F$ with…

math.RT2025

The MVW involution of the metaplectic group

Shuichiro Takeda, Justin Trias

The MVW involution -- named after Colette Moeglin, Marie-France Vignéras, and Jean-Loup Waldspurger -- is a fundamental dualizing involution in the representation theory of $p$ -adi…

math.RT2025

The universal Harish-Chandra $j$ -function

Gil Moss, Justin Trias

Let $F$ be a nonarchimedean local field with residue field of cardinality $q$ , let $G$ be the $F$ -points of a connected reductive group defined over $F$ , let $P$ and $Q$ be two par…

math.RT2025

The $ℓ$ -modular local theta correspondence

Justin Trias

We study the validity of the local theta correspondence over a non-archimedean local field in the context of modular representation theory \textit{i.e.} for representations with co…

math.RT2023

Towards a theta correspondence in families for type II dual pairs

Gilbert Moss, Justin Trias

Let $R$ be a commutative $Z [1/ p]$ -algebra, let $m \leq n$ be positive integers, and let $G_{n} = GL_{n} (F)$ and $G_{m} = GL_{m} (F)$ where $F$ is a $p$ -adic field. The We…

math.RT2022

Whittaker functionals and contragredient in characteristic not $p$

Nadir Matringe, Justin Trias

Let $R$ be an algebraically closed field and $ℓ$ be its characteristic. Let $G$ be a locally profinite group having a compact open subgroup of invertible pro-order in $R$ . Take…

On the rationality of the Weil Representation and the local theta correspondence

Modular Weil representation and compatibility of cuspidals with congruences

The MVW involution of the metaplectic group

The universal Harish-Chandra j-function

The ℓ-modular local theta correspondence

Towards a theta correspondence in families for type II dual pairs

Whittaker functionals and contragredient in characteristic not p

The universal Harish-Chandra $j$ -function

The $ℓ$ -modular local theta correspondence

Whittaker functionals and contragredient in characteristic not $p$