Tong Liu

collaborators

2 papers

math.NT2026

Torsion graded pieces of Nyggard filtration for crystalline representation

Tong Liu

Let $K$ be a unramified $p$ -adic field with the absolute Galois group $G_{K}$ and $T$ a crystalline $Z_{p}$ -representation of $G_{K}$ . We study the graded pieces of integral filt…

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…