Jiandi Zou

activity

20242026

collaborators

8 papers

math.RT2026

Wavefront sets for genuine representations of $GL$ -covers of Kazhdan--Patterson or Savin types

Fan Gao, Runze Wang, Jiandi Zou

First, we consider general Brylinski--Deligne covers of the $p$ -adic general linear groups, and discuss the theory of Bernstein--Zelevinsky derivatives. We also recall the Zelevins…

math.NT2026

Ramanujan Complexes from Unitary Groups over Number Fields

Rahul Dalal, Alberto MÃnguez, Jiandi Zou

In this article, we construct new families of Ramanujan complexes with local structure distinct from all previously known examples. Our approach is based on unitary groups over num…

math.RT2025

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of $GL (r)$

Jiandi Zou

For an $n$ -fold Kazhdan--Patterson cover or Savin's cover of a general linear group over a non-archimedean local field of residual characteristic $p$ with $gcd (n, p) = 1$ , we…

math.RT2024

Simple type theory for metaplectic covers of $GL (r)$ over a non-archimedean local field

Jiandi Zou

Let $F$ be a non-archimedean locally compact field of residual characteristic $p$ , let $G = GL_{r} (F)$ and let $G$ be an $n$ -fold metaplectic cover of $G$ with $…

math.RT2024

Local metaplectic correspondence and applications

Jiandi Zou

We revisit the local metaplectic correspondence previously constructed and studied by Flicker and Kazhdan. After restoring and generalizing some of their results, we get several in…

math.RT2024

Supercuspidal representations of $GL_{n} (F)$ distinguished by an orthogonal involution

Jiandi Zou

Let $F$ be a non-archimedean locally compact field of residue characteristic $p \neq = 2$ , let $G = GL_{n} (F)$ and let $H$ be an orthogonal subgroup of $G$ . For $I ¨ $ a complex s…

Wavefront sets for genuine representations of GL-covers of Kazhdan--Patterson or Savin types

Ramanujan Complexes from Unitary Groups over Number Fields

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of GL(r)

Simple type theory for metaplectic covers of GL(r) over a non-archimedean local field

Local metaplectic correspondence and applications

Supercuspidal representations of GLn​(F) distinguished by an orthogonal involution

Wavefront sets for genuine representations of $GL$ -covers of Kazhdan--Patterson or Savin types

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of $GL (r)$

Simple type theory for metaplectic covers of $GL (r)$ over a non-archimedean local field

Supercuspidal representations of $GL_{n} (F)$ distinguished by an orthogonal involution