Clifton Cunningham

activity

20232025

collaborators

5 papers

math.RT2025

Representations of $p$ -adic groups and orbits with smooth closure in a variety of Langlands parameters

Kristaps Balodis, Clifton Cunningham, Andrew Fiori +1

Let $G$ be a reductive $p$ -adic group for which the local Langlands correspondence is known, and $λ$ an infinitesimal parameter of $G$ . In this paper, we prove that if the $p$ -adic…

math.RT2024

Whittaker normalization of $p$ -adic ABV-packets and Vogan's conjecture for tempered representations

Clifton Cunningham, Sarah Dijols, Andrew Fiori +1

We show that ABV-packets for $p$ -adic groups do not depend on the choice of a Whittaker datum, but the function from the ABV-packet to representations of the appropriate microlocal…

math.RT2024

Koszul duality for generalised Steinberg representations of $p$ -adic groups

Clifton Cunningham, James Steele

Let $G$ be a semisimple group, split over a non-Archimedean field $F$ . We prove that the category of modules over the extension algebra of generalised Steinberg representations of…

math.RT2024

Generic representations, open parameters and ABV-packets for $p$ -adic groups

Clifton Cunningham, Sarah Dijols, Andrew Fiori +1

If $π$ is a representation of a $p$ -adic group $G (F)$ , and $ϕ$ is its Langlands parameter, can we use the moduli space of Langlands parameters to find a geometric property of $ϕ$ t…

math.RT2023

Proof of Vogan's conjecture on Arthur packets for $G L_{n}$ over $p$ -adic fields

Clifton Cunningham, Mishty Ray

In this paper we prove Vogan's conjecture on Arthur packets for general linear groups over $p$ -adic fields, building on earlier work. The proof uses a special case of endoscopic li…

Representations of p-adic groups and orbits with smooth closure in a variety of Langlands parameters

Whittaker normalization of p-adic ABV-packets and Vogan's conjecture for tempered representations

Koszul duality for generalised Steinberg representations of p-adic groups

Generic representations, open parameters and ABV-packets for p-adic groups

Proof of Vogan's conjecture on Arthur packets for GLn​ over p-adic fields

Representations of $p$ -adic groups and orbits with smooth closure in a variety of Langlands parameters

Whittaker normalization of $p$ -adic ABV-packets and Vogan's conjecture for tempered representations

Koszul duality for generalised Steinberg representations of $p$ -adic groups

Generic representations, open parameters and ABV-packets for $p$ -adic groups

Proof of Vogan's conjecture on Arthur packets for $G L_{n}$ over $p$ -adic fields