Yupeng Wang

activity

20212026

most citedA p-adic Simpson correspondence for rigid analytic varieties

9 citations · 17 across the 10 of their papers we have counts for

collaborators

11 papers

math.AG2026

A $p$ -adic Riemann--Hilbert correspondence over Robba rings

Zekun Chen, Ruochuan Liu, Yupeng Wang +2

We construct overconvergent period sheaves $O C^{I, †}$ and $O B_{dR}^{†, +}$ on the $v$ -site of a liftable semi-…

math.NT2026

Galois representations over convergent de Rham period ring

Hui Gao, Yupeng Wang

Let $B_{dR}^{+, †} \subset B_{dR}^{+}$ be the ``convergent" de Rham period ring which is the (un-completed) stalk at the de Rham point of…

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.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…

math.AG2023★ 1 cited

Integral $p$ -adic non-abelian Hodge theory for small representations

Yu Min, Yupeng Wang

Let $\frakX$ be a smooth $p$ -adic formal scheme over $\calO_C$ with rigid generic fiber $X$ . In this paper, we construct a new period sheaf $\calO\widehat \bC_{\pd}^+$ on $X_{\proe…

math.AG2022★ 1 cited

Hodge--Tate crystals on the logarithmic prismatic sites of semi-stable formal schemes

Yu Min, Yupeng Wang

Let $\calO_K$ be a complete discrete valuation ring of mixed characteristic $(0, p)$ with a perfect residue field. In this paper, for a semi-stable $p$ -adic formal scheme $\frakX$ o…

math.NT2022

Prismatic crystals over the de Rham period sheaf

Hui Gao, Yu Min, Yupeng Wang

Let $O_{K}$ be a mixed characteristic complete discrete valuation ring with perfect residue field. We study $B_{dR}^{+}$ -crystals on the (log-) prismatic site…

math.AG2022★ 2 cited

P-adic Simpson correpondence via prismatic crystals

Yu Min, Yupeng Wang

Let $\frakX$ be a smooth $p$ -adic formal scheme over $\calO_K$ with adic generic fiber $X$ . We obtain a global equivalence between the category $\Vect((\frakX)_{\Prism},\overline\c…

math.NT2021★ 2 cited

On the Hodge--Tate crystals over O_K

Yu Min, Yupeng Wang

We prove that a Hodge--Tate prismatic crystal on (O_K)_{\Prism} is uniquely determined by a topologically "nilpotent" operator. Using this operator, we construct a C_p-representati…

math.AG2021

Relative $(φ, Γ)$ -modules and prismatic $F$ -crystals

Yu Min, Yupeng Wang

In this paper, we prove that for any $p$ -adic smooth separated formal scheme $X$ , the category of prismatic $F$ -crystals with $I$ inverted is equivalent to the category o…

math.AG2021★ 9 cited

A p-adic Simpson correspondence for rigid analytic varieties

Yupeng Wang

In this paper, we establish a $p$ -adic Simpson correspondence on the arena of Liu-Zhu for rigid analytic varieties $X$ over $\Cp$ with a liftable good reduction by constructing a n…

A p-adic Riemann--Hilbert correspondence over Robba rings

Galois representations over convergent de Rham period ring

Prismatic crystals and p-adic Riemann--Hilbert correspondence

Hodge--Tate prismatic crystals and Sen theory

Integral p-adic non-abelian Hodge theory for small representations

Hodge--Tate crystals on the logarithmic prismatic sites of semi-stable formal schemes

Prismatic crystals over the de Rham period sheaf

P-adic Simpson correpondence via prismatic crystals

On the Hodge--Tate crystals over O_K

Relative (φ,Γ)-modules and prismatic F-crystals

A p-adic Simpson correspondence for rigid analytic varieties

A $p$ -adic Riemann--Hilbert correspondence over Robba rings

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

Integral $p$ -adic non-abelian Hodge theory for small representations

Relative $(φ, Γ)$ -modules and prismatic $F$ -crystals