Publications (13)
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 with a perfect residue field. In this paper, for a semi-stable -adic formal scheme $\frakX$ o…
Congruences of first syntomic cohomology groups
Yu Min
Let O_K be the ring of integers of a finite extension K of Q_p. Given two reflexive F-gauges on O_K, we show that for large enough n, the mod p^n-reductions of their first syntomic…
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…
Relative -modules and prismatic -crystals
Yu Min, Yupeng Wang
In this paper, we prove that for any -adic smooth separated formal scheme , the category of prismatic -crystals with inverted is equivalent to the category o…
Integral p-adic Hodge theory of formal schemes in low ramification
Yu Min
We prove that for any proper smooth formal scheme over , where is the ring of integers in a complete discretely valued nonarchimedean extensi…
Prismatic crystals and -adic Riemann--Hilbert correspondence
Hui Gao, Yu Min, Yupeng Wang
We systematically study relative and absolute -crystals on the (log-) prismatic site of a smooth (resp.~ semi-stable) formal scheme. Using explicit computation…
Classicality of derived Emerton-Gee stack
Yu Min
We construct a derived stack of Laurent -crystals on , where is the ring of integers of a finite extension of $\mathcal{Q}_…
P-adic Simpson correpondence via prismatic crystals
Yu Min, Yupeng Wang
Let $\frakX$ be a smooth -adic formal scheme over $\calO_K$ with adic generic fiber . We obtain a global equivalence between the category $\Vect((\frakX)_{\Prism},\overline\c…
Classicality of derived Emerton--Gee stack II: generalised reductive groups
Yu Min
We use the Tannakian formalism to define the Emerton--Gee stack for general groups. For a flat algebraic group G over Z_p, we are able to prove the associated Emerton--Gee stack is…
Harmonic and Interharmonic Detection in Power Systems Based on Fractal-Optimized Variational Mode Decomposition
Pei Yuhang, Yu Min, Yu Yan
The proposed method introduces a parameter determination approach based on the minimum Fractal box dimension (FBD) of Variational Mode Decomposition (VMD) components, aiming to add…
Integral -adic non-abelian Hodge theory for small representations
Yu Min, Yupeng Wang
Let $\frakX$ be a smooth -adic formal scheme over $\calO_C$ with rigid generic fiber . In this paper, we construct a new period sheaf $\calO\widehat \bC_{\pd}^+$ on $X_{\proe…
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 , where is a mixed characteristic complete discrete valuation ring with perfect…
Prismatic crystals over the de Rham period sheaf
Hui Gao, Yu Min, Yupeng Wang
Let be a mixed characteristic complete discrete valuation ring with perfect residue field. We study -crystals on the (log-) prismatic site…