Hui Gao

collaborators

4 papers

math.NT2026

de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, LÃ©o 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.NT2025

On $p$ -adic Simpson and Riemann-Hilbert correspondences 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. Inspired by Liu and Zhu's co…

math.NT2025

Breuil-Kisin modules and integral $p$ -adic Hodge theory

Hui Gao

We construct a category of Breuil-Kisin $G_{K}$ -modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules…

de Rham theory and locally analytic vectors

Galois representations over convergent de Rham period ring

On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case

Breuil-Kisin modules and integral p-adic Hodge theory

On $p$ -adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case

Breuil-Kisin modules and integral $p$ -adic Hodge theory