Qing Zhang

activity

20152023

most citedA local converse theorem for U(1,1)

14 citations · 49 across the 14 of their papers we have counts for

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7 papers · 1 filter

math.RT2023★ 2 cited

On a refined local converse theorem for SO(4)

Pan Yan, Qing Zhang

Recently, Hazeltine-Liu, and independently Haan-Kim-Kwon, proved a local converse theorem for $SO_{2 n} (F)$ over a $p$ -adic field $F$ , which says that, up to an outer autom…

math.RT2021

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Clifton Cunningham, Andrew Fiori, Qing Zhang

We begin this paper by reviewing the Langlands correspondence for unipotent representations of the exceptional group of type $G_{2}$ over a $p$ -adic field $F$ and present it in an ex…

math.RT2020★ 6 cited

Arthur packets for $G_{2}$ and perverse sheaves on cubics

Clifton Cunningham, Andrew Fiori, Qing Zhang

This paper begins the project of defining Arthur packets of all unipotent representations for the $p$ -adic exceptional group $G_{2}$ . Here we treat the most interesting case by defin…

math.RT2018

On a converse theorem for $G_{2}$ over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split $G_{2}$ over finite fields $k$ of…

math.RT2018

Uniqueness of certain Fourier-Jacobi models over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group $G_{2}$ over finite fields with odd characteristic. Similar results are also p…

math.RT2017

A local converse theorem for $U_{2 r + 1}$

Qing Zhang

Let $E / F$ be a quadratic extension of $p$ -adic fields and $U_{2 r + 1}$ be the unitary group associated with $E / F$ . We prove the following local converse theorem for $\textrm…

math.RT2017★ 1 cited

A local converse theorem for $Sp_{2 r}$

Qing Zhang

In this paper, we prove the local converse theorem for $Sp_{2 r} (F)$ over a $p$ -adic field $F$ . More precisely, given two irreducible supercuspidal representations of $\tex…

On a refined local converse theorem for SO(4)

Toward the endoscopic classification of unipotent representations of p-adic G2​

Arthur packets for G2​ and perverse sheaves on cubics

On a converse theorem for G2​ over finite fields

Uniqueness of certain Fourier-Jacobi models over finite fields

A local converse theorem for U2r+1​

A local converse theorem for Sp2r​

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Arthur packets for $G_{2}$ and perverse sheaves on cubics

On a converse theorem for $G_{2}$ over finite fields

A local converse theorem for $U_{2 r + 1}$

A local converse theorem for $Sp_{2 r}$