Clifton Cunningham

collaborators

3 papers

math.RT2025

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.RT2025

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

Kristaps Balodis, Clifton Cunningham, Andrew Fiori +1

In this paper we prove the forward direction of the conjecture of Gross-Prasad that an L-packet $I^_{I ¨} (G)$ contains a generic representation if and only if $L(s, Ï, \Ad)$ is regul…

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…

Koszul duality for generalised Steinberg representations of p-adic groups

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

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