Clifton Cunningham

activity

20232025

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3 papers · 1 filter

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…

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

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