Hui Gao

most citedHodge--Tate prismatic crystals and Sen theory

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

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math.NT2024

Prismatic crystals and $p$ -adic Riemann--Hilbert correspondence

Hui Gao, Yu Min, Yupeng Wang

We systematically study relative and absolute $Δ_{dR}^{+}$ -crystals on the (log-) prismatic site of a smooth (resp.~ semi-stable) formal scheme. Using explicit computation o…

math.NT2024

Integral filtered Sen theory and applications

Hui Gao, Tong Liu

We study Nygaard-, conjugate-, and Hodge filtrations on the many variants of Breuil--Kisin modules associated to integral semi-stable Galois representations. This leads to an integ…

math.NT2024

Cohomology of $(φ, τ)$ -modules

Hui Gao, Luming Zhao

We construct cohomology theories for $(φ, τ)$ -modules, and study their relation with cohomology of $(φ, Γ)$ -modules, as well as Galois cohomology. Our method is axiomatic, and can…

math.NT2023★ 2 cited

Hodge--Tate prismatic crystals and Sen theory

Hui Gao, Yu Min, Yupeng Wang

We study Hodge-Tate crystals on the absolute (log-) prismatic site of $O_{K}$ , where $O_{K}$ is a mixed characteristic complete discrete valuation ring with perfect…

Prismatic crystals and p-adic Riemann--Hilbert correspondence

Integral filtered Sen theory and applications

Cohomology of (φ,τ)-modules

Hodge--Tate prismatic crystals and Sen theory

Prismatic crystals and $p$ -adic Riemann--Hilbert correspondence

Cohomology of $(φ, τ)$ -modules