Zicheng Qian

activity

20182025

most citedModuli of Fontaine--Laffaille representations and a mod-

p

local-global compatibility result

2 citations · 3 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2025

On $Ext^{∙}$ between locally analytic generalized Steinberg with applications

Zicheng Qian

Let $n \geq 2$ be an integer, $p$ be a prime number and $K$ be a finite extension of $Q_{p}$ . Motivated by Schraen's thesis and Gehrmann's definition of automorphic simple $\…

math.NT2024

Splitting and making explicit the de Rham complex of the Drinfeld space

Christophe Breuil, Zicheng Qian

Let $p$ be a prime number, $K$ a finite extension of $Q_{p}$ and $n$ an integer $\geq 2$ . We completely and explicitly describe the global sections $Ω^{∙}$ of the de Rha…

math.NT2023

Colength one deformation rings

Daniel Le, Bao Le Hung, Stefano Morra +2

Let $K / Q_{p}$ be a finite unramified extension, $ρ : Gal (Q_{p} / K) \to GL_{n} (F_{p})$ a continuous representa…

math.NT2022

On generalization of Breuil--Schraen's $L$ -invariants to $GL_{n}$

Zicheng Qian

Let $p$ be prime number and $K$ be a $p$ -adic field. We systematically compute the higher $Ext$ -groups between locally analytic generalized Steinberg representations (LAGS…

math.NT2021

A note on mod- $p$ local-global compatibility via Scholze's functor

Kegang Liu, Zicheng Qian

We remove the semisimple condition in the mod- $p$ local-global compatibility result of arXiv:2106.10674. Namely, assuming flatness of $π_{m}^{\lor}$ and $\overlineσ_{\math…

math.NT2021★ 2 cited

Moduli of Fontaine--Laffaille representations and a mod- $p$ local-global compatibility result

Daniel Le, Bao Viet Le Hung, Stefano Morra +2

Let $F / F^{+}$ be a CM field and let $v$ be a finite unramified place of $F$ above the prime $p$ . Let $\overline{r}: \mathrm{Gal}(\overline{\mathbb{Q}}/F)\rightarrow \math…

math.NT2019

Dilogarithm and higher $L$ -invariants for $GL_{3} (Q_{p})$

Zicheng Qian

Let $E$ be a sufficiently large finite extension of $Q_{p}$ and $ρ_{p}$ be a semi-stable representation $\mathrm{Gal}(\overline{\mathbb{Q}_p}/\mathbb{Q}_p)\rightarrow\mathrm{G…

math.NT2018★ 1 cited

On mod $p$ local-global compatibility for $GL_{n} (Q_{p})$ in the ordinary case

Chol Park, Zicheng Qian

Let $p$ be a prime number, $n > 2$ an integer, and $F$ a CM field in which $p$ splits completely. Assume that a continuous automorphic Galois representation $\overline{r}:\mathrm{Gal…

On Ext∙ between locally analytic generalized Steinberg with applications

Splitting and making explicit the de Rham complex of the Drinfeld space

Colength one deformation rings

On generalization of Breuil--Schraen's L-invariants to GLn​

A note on mod-p local-global compatibility via Scholze's functor

Moduli of Fontaine--Laffaille representations and a mod-p local-global compatibility result

Dilogarithm and higher L-invariants for GL3​(Qp​)

On mod p local-global compatibility for GLn​(Qp​) in the ordinary case

On $Ext^{∙}$ between locally analytic generalized Steinberg with applications

On generalization of Breuil--Schraen's $L$ -invariants to $GL_{n}$

A note on mod- $p$ local-global compatibility via Scholze's functor

Moduli of Fontaine--Laffaille representations and a mod- $p$ local-global compatibility result

Dilogarithm and higher $L$ -invariants for $GL_{3} (Q_{p})$

On mod $p$ local-global compatibility for $GL_{n} (Q_{p})$ in the ordinary case