Qing Zhang

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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

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…

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

Generic representations, open parameters and ABV-packets for 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

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