Hui Gao

collaborators

3 papers

math.NT2025

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.NT2025

Cohomology of $(I ¨ , I ¨ )$ -modules

Hui Gao, Luming Zhao

We construct cohomology theories for $(I ¨ , I ¨ )$ -modules, and study their relation with cohomology of $(I ¨ , I^)$ -modules, as well as Galois cohomology. Our method is axiomatic, and…

math.NT2024

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

Hui Gao, Yu Min, Yupeng Wang

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

Integral filtered Sen theory and applications

Cohomology of (I¨,I¨)-modules

Prismatic crystals and p-adic Riemann--Hilbert correspondence

Cohomology of $(I ¨ , I ¨ )$ -modules

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