activity
19982022
most citedThe weight part of Serre's conjecture for GL(2)

16 citations · 47 across the 26 of their papers we have counts for

collaborators

26 papers

math.NT2022

A new method for overconvergence of {\((φ,Γ)\)}-modules

Heng Du, Tong Liu

We show all Laurent -crystals over -adic fields are overconvergent.

math.AG2022

On the u^{\infty}-torsion submodule of prismatic cohomology

Shizhang Li, Tong Liu

We investigate the maximal finite length submodule of the Breuil-Kisin prismatic cohomology of a smooth proper formal scheme over a p-adic ring of integers. This submodule governs…

math.NT2022

Completed prismatic -crystals and crystalline -local systems

Heng Du, Tong Liu, Yong Suk Moon +1

We introduce the notion of completed -crystals on the absolute prismatic site of a smooth -adic formal scheme. We define a functor from the category of completed prismatic $F…

math.NT2021★ 2 cited

Reductions of certain 3-dimensional crystalline representations

Tong Liu

We compute reduction of 3-dimensional irreducible crystalline representations of with Hodge-Tate weights satisfying $2 \leq r \leq p-2…

math.NT2021

A prismatic approach to -modules and -crystals

Heng Du, Tong Liu

We give a new construction of -modules using the theory of prisms developed by Bhatt and Scholze. As an application, we give a new proof about the equivalence between…

math.AG2020★ 7 cited

Comparison of prismatic cohomology and derived de Rham cohomology

Shizhang Li, Tong Liu

We establish a comparison isomorphism between prismatic cohomology and derived de Rham cohomology respecting various structures, such as their Frobenius actions and filtrations. As…