Qing Zhang

collaborators

3 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

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…

math.RT2024

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

Clifton Cunningham, Sarah Dijols, Andrew Fiori +1

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

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