10 citations · 21 across the 9 of their papers we have counts for
11 papers
-lattices in semistable Galois representations
Zijian Yao
We show that the category of logarithmic prismatic F-crystals on is equivalent to the category of -lattices in semistable $\tex…
Logarithmic prismatic cohomology II
Teruhisa Koshikawa, Zijian Yao
We continue to study the logarithmic prismatic cohomology defined by the first author, and complete the proof of the de Rham comparison and étale comparison generalizing those of B…
Geometric quadratic Chabauty over number fields
Pavel Čoupek, David T. -B. G. Lilienfeldt, Zijian Yao +1
This article generalizes the geometric quadratic Chabauty method, initiated over by Edixhoven and Lido, to curves defined over arbitrary number fields. The main result…
The crystalline comparison of Ainf-cohomology: the case of good reduction
Zijian Yao
We provide a simple approach for the crystalline comparison of Ainf-cohomology, and reprove the comparison between crystalline and p-adic etale cohomology for formal schemes in the…
The Breuil--Mézard conjecture for function fields
Zijian Yao
Let be a local function field of characteristic , be a finite field over where , and $\overlineρ: G_K \rightarrow \text{GL}_n (\mathbb{F…
Logarithmic de Rham--Witt complexes via the Décalage operator
Zijian Yao
We provide a new formalism of de Rham--Witt complexes in the logarithmic setting. This construction generalizes a result of Bhatt--Lurie--Mathew, and agrees with those of Hyodo--Ka…
Perfectoid covers of abelian varieties
Clifford Blakestad, Damián Gvirtz-Chen, Ben Heuer +4
For an abelian variety over an algebraically closed non-archimedean field of residue characteristic , we show that there exists a perfectoid space which is the tilde-limit o…
Peckness of Edge Posets
David Hemminger, Aaron Landesman, Zijian Yao
For any graded poset , we define a new graded poset, , whose elements are the edges in the Hasse diagram of P. For any group, , acting on the boolean algebra,…
Glick's conjecture on the point of collapse of axis-aligned polygons under the pentagram maps
Zijian Yao
The pentagram map has been studied in a series of papers by Schwartz and others. Schwartz showed that an axis-aligned polygon collapses to a point under a predictable number of ite…
Extreme rays of the -Schur Cone
Christian Gaetz, Kyle Meyer, Ka Yu Tam +3
We discuss several partial results towards proving Dennis White's conjecture on the extreme rays of the -Schur cone. We are interested in which vectors are extreme in the co…
Devil's Staircase -- Rotation Number of Outer Billiard with Polygonal Invariant Curves
Zijian Yao
In this paper, we discuss rotation number on the invariant curve of a one parameter family of outer billiard tables. Given a convex polygon , we can construct an outer billiard…