Gilbert Moss

activity

20142025

most citedModuli of Langlands Parameters

7 citations · 16 across the 12 of their papers we have counts for

collaborators

15 papers

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.RT2024

Local Langlands in families: The banal case

Jean-François Dat, David Helm, Robert Kurinczuk +1

We state a conjecture, local Langlands in families, connecting the centre of the category of smooth representations on $Z [q^{- 1}]$ -modules of a quasi-split $p$ -adic…

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.NT2023

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3

The local converse theorem for Rankin-Selberg gamma factors of $GL_{2} (F_{q})$ proved by Piatetski-Shapiro over $C$ no longer holds after reduction modulo $\…

math.RT2022

Finiteness for Hecke algebras of $p$ -adic groups

Jean-Francois Dat, David Helm, Robert Kurinczuk +1

Let $G$ be a reductive group over a non-archimedean local field $F$ of residue characteristic $p$ . We prove that the Hecke algebras of $G (F)$ with coefficients in a ${\mathbb Z}_{\…

math.NT2020★ 7 cited

Moduli of Langlands Parameters

Jean-François Dat, David Helm, Robert Kurinczuk +1

Let $F$ be a nonarchimedean local field of residue characteristic $p$ , let $G^$ be a split reductive group over $Z [1/ p]$ with an action of $W_{F}$ , and let $^{L} G$ denote…

math.NT2020

The Kirillov model in families

Nadir Matringe, Gilbert Moss

Let $F$ be a non-archimedean local field, let $k$ be an algebraically closed field of characteristic $ℓ$ different from the residual characteristic of $F$ , and let $A$ be a comm…

math.NT2019

The universal unramified module for GL(n) and the Ihara conjecture

Gilbert Moss

Let $F$ be a finite extension of $Q_{p}$ . Let $W (k)$ denote the Witt vectors of an algebraically closed field $k$ of characteristic $ℓ$ different from $p$ and $2$ , and le…

math.NT2019

Characterizing the mod- $ℓ$ local Langlands correspondence by nilpotent gamma factors

Gilbert Moss

Let $F$ be a $p$ -adic field and choose $k$ an algebraic closure of $F_{ℓ}$ , with $ℓ$ different from $p$ . We define ``nilpotent lifts'' of irreducible generic $k$ -rep…

math.NT2017★ 1 cited

On the local converse theorem and the descent theorem in families

Baiying Liu, Gilbert Moss

We prove an analogue of Jacquet's conjecture on the local converse theorem for \ell-adic families of co-Whittaker representations of GL_n(F), where F is a finite extension of Q_p a…

math.NT2016★ 2 cited

Converse theorems and the local Langlands correspondence in families

David Helm, Gilbert Moss

We prove a descent criterion for certain families of smooth representations of GL_n(F) (F a p-adic field) in terms of the gamma factors of pairs constructed in previous work of the…

math.NT2015★ 5 cited

Deligne--Langlands gamma factors in families

David Helm, Gilbert Moss

Let F be a p-adic field, W_F its absolute Weil group, and let k be an algebraically closed field of prime characteristic l different from p. Attached to any l-adic representation o…

math.NT2014

Gamma factors of pairs and a local converse theorem in families

Gilbert Moss

We prove a GL(n)xGL(n-1) local converse theorem for l-adic families of smooth representations of GL(n,F) where F is a finite extension of Q_p and l is different from p. To do so, w…

math.NT2014★ 1 cited

Functorial Zeta Integrals

Gilbert Moss

The functional equation for nonarchimedean Rankin-Selberg local Euler factors was proved by Jacquet, Piatetski-Shapiro, and Shalika in 1983. In this expository note we translate th…

math.NT2014

Interpolating local constants in families

Gilbert Moss

We extend the theory of local constants to l-adic families of representations of GL_n(F) where F is a p-adic field with l not equal to p. We construct zeta integrals and gamma fact…

The universal Harish-Chandra j-function

Local Langlands in families: The banal case

Towards a theta correspondence in families for type II dual pairs

Mod ℓ gamma factors and a converse theorem for finite general linear groups

Finiteness for Hecke algebras of p-adic groups

Moduli of Langlands Parameters

The Kirillov model in families

The universal unramified module for GL(n) and the Ihara conjecture

Characterizing the mod-ℓ local Langlands correspondence by nilpotent gamma factors

On the local converse theorem and the descent theorem in families

Converse theorems and the local Langlands correspondence in families

Deligne--Langlands gamma factors in families

Gamma factors of pairs and a local converse theorem in families

Functorial Zeta Integrals

Interpolating local constants in families

The universal Harish-Chandra $j$ -function

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

Finiteness for Hecke algebras of $p$ -adic groups

Characterizing the mod- $ℓ$ local Langlands correspondence by nilpotent gamma factors