Zhongyipan Lin

activity

20202026

most citedCrystalline lifts and a variant of the Steinberg-Winter theorem

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2026

Algorithmic universal étale $(φ, Γ)$ -modules

Zhongyipan Lin

Let $F / Q_{p}$ be a finite extension and let $G ˘$ be a connected reductive group with connected center satisfying $p > h_{G ˘}$ (the Coxeter number). We write down…

math.NT2023

Extensions of de Rham Galois representations

Zhongyipan Lin

We construct the parabolic version and the reductive version of the integral de Rham moduli stacks of Langlands parameters ( $p > 3$ ). We allow the group to be arbitrarily ramified. W…

math.NT2023

Heisenberg varieties and the existence of de Rham lifts

Zhongyipan Lin

We establish the existence of de Rham lifts of Langlands parameters (or Galois representations) for unitary, orthogonal and symplectic (similitude) groups of arbitrary rank. Our re…

math.NT2023

A Deligne-Lusztig type correspondence for tame $p$ -adic groups

Zhongyipan Lin

We establish a "matrix simultaneous diagonalization theorem" for disconnected reductive groups which relaxes both the semisimplicity condition and the commutativity condition. As a…

math.NT2023

Moduli stacks of generalized phi-modules

Zhongyipan Lin

Let $F$ be an arbitrary $p$ -adic field and let $G$ be an arbitrary reductive group over $F$ with Langlands dual group $^{L} G$ . We show that the change-of-group morphism of Emerton-Ge…

math.NT2020

Lyndon-Demushkin method and crystalline lifts of $G_{2}$ -valued Galois representations

Zhongyipan Lin

We show for all local fields $K / Q_{p}$ , with $p > 3$ , all representations $ρ ˉ : G_{K} \to G_{2} (F ˉ_{p})$ admit a crystalline lift $ρ : G_{K} \to G_{2} (Z ˉ_{p})$ …

math.NT2020★ 1 cited

Crystalline lifts and a variant of the Steinberg-Winter theorem

Zhongyipan Lin

Let $K / Q_{p}$ be a finite extension. For all irreducible representations $ρ ˉ : G_{K} \to G (F ˉ_{p})$ valued in a general reductive group $G$ , we construct crystal…

Algorithmic universal étale (φ,Γ)-modules

Extensions of de Rham Galois representations

Heisenberg varieties and the existence of de Rham lifts

A Deligne-Lusztig type correspondence for tame p-adic groups

Moduli stacks of generalized phi-modules

Lyndon-Demushkin method and crystalline lifts of G2​-valued Galois representations

Crystalline lifts and a variant of the Steinberg-Winter theorem

Algorithmic universal étale $(φ, Γ)$ -modules

A Deligne-Lusztig type correspondence for tame $p$ -adic groups

Lyndon-Demushkin method and crystalline lifts of $G_{2}$ -valued Galois representations