16 citations · 25 across the 12 of their papers we have counts for
12 papers
Local theta correspondence and Galois periods
Chong Zhang
We study the behavior of Galois periods under the local theta correspondence for even orthogonal and symplectic groups. Specifically, we compare their multiplicities and construct…
The super approximation property of
Chong Zhang
Take be finite symmetric and assume generates a group which is Zarisk…
Characterizations of annihilator -inverses in arbitrary rings
Chong-Quan Zhang, Qing-Wen Wang, Huihui Zhu
In this paper, we investigate some properties of annihilator -inverses in an arbitrary ring. We demonstrate that one-sided annihilator -inverses of elements in arbitr…
Theta lifts and distinction for regular supercuspidal representations
Chong Zhang
This article has a twofold purpose. First, by recent works of Kaletha and Loke-Ma, we give an explicit description of the local theta correspondence between regular supercuspidal r…
Distinguished regular supercuspidal representations
Chong Zhang
Based on recent work of Kaletha, we apply Hakim--Murnaghan's result to study distinguished regular supercuspidal representations of tamely ramified reductive -adic groups. Assum…
Distinction of regular depth-zero supercuspidal L-packets
Chong Zhang
In this paper, we study the relative Langlands program formulated by Dipendra Prasad for Galois symmetric spaces. Under certain assumptions, we confirm the necessary conditions in…
Local periods for discrete series representations
Chong Zhang
Let be a symmetric pair over a -adic field and a discrete series representation of . In this paper, for some type of symmetric pairs , we show that local p…
An orthogonality relation for spherical characters of supercuspidal representations
Chong Zhang
In this note, we show that, in the setting of Galois pairs, the spherical characters of unitary supercuspidal representations satisfy an orthogonality relation.
A note on local periods for supercuspidal representations
Chong Zhang
Let be a -adic reductive group and a unimodular spherical subgroup of . Let be a unitary supercuspidal representation of . In this note, under a mild assumptio…
On linear periods
Chong Zhang
Let be a cuspidal automorphic representation of , which is assumed to be the Jacquet-Langlands transfer from a cuspidal automorphic representation of …
On the smooth transfer for Guo-Jacquet relative trace formulae
Chong Zhang
We establish the existence of smooth transfer for Guo-Jacquet relative trace formulae in -adic case. This kind of smooth transfer is a key step towards a generalization of Walds…
A note on the local theta correspondence for unitary similitude dual pairs
Chong Zhang
Following Roberts' work in the case of orthogonal-symplectic similitude dual pairs, we study the local theta correspondence for unitary similitude dual pairs over a -adic field.