Hui Gao

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20172026

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math.NT2026

de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, Léo Poyeton

Let $K_{\infty} / K$ be a $p$ -adic Lie extension of a $p$ -adic field $K$ . We study the subring of pro-analytic vectors in the de Rham period ring $B_{dR}^{+} (K_{\infty})$ …

math.NT2026

Galois representations over convergent de Rham period ring

Hui Gao, Yupeng Wang

Let $B_{dR}^{+, †} \subset B_{dR}^{+}$ be the ``convergent" de Rham period ring which is the (un-completed) stalk at the de Rham point of…

math.NT2020

Integral $p$ -adic Hodge theory in the imperfect residue field case

Hui Gao

Let $K$ be a mixed characteristic complete discrete valuation field with residue field admitting a finite $p$ -basis, and let $G_{K}$ be the Galois group. We first classify semi-stabl…

math.NT2019

Wach models and overconvergence of étale $(φ, Γ)$ -modules

Hui Gao

A classical result of Cherbonnier and Colmez says that all étale $(φ, Γ)$ -modules are overconvergent. In this paper, we give another proof of this fact when the base field $K$ is a…

math.NT2019

Limit of torsion semi-stable Galois representations with unbounded weights

Hui Gao

Let $K$ be a complete discrete valuation field of characteristic $(0, p)$ with perfect residue field, and let $T$ be an integral $Z_{p}$ -representation of $\mathrm{Gal}(\ove…

math.NT2018

Locally analytic vectors and overconvergent $(φ, τ)$ -modules

Hui Gao, Léo Poyeton

Let $p$ be a prime, let $K$ be a complete discrete valuation field of characteristic $0$ with a perfect residue field of characteristic $p$ , and let $G_{K}$ be the Galois group. Let…

de Rham theory and locally analytic vectors

Galois representations over convergent de Rham period ring

Integral p-adic Hodge theory in the imperfect residue field case

Wach models and overconvergence of étale (φ,Γ)-modules

Limit of torsion semi-stable Galois representations with unbounded weights

Locally analytic vectors and overconvergent (φ,τ)-modules

Integral $p$ -adic Hodge theory in the imperfect residue field case

Wach models and overconvergence of étale $(φ, Γ)$ -modules

Locally analytic vectors and overconvergent $(φ, τ)$ -modules