Zijian Yao

activity

20232026

collaborators

5 papers

math.AG2026

Logarithmic $A_{inf}$ -cohomology, Part II

Hansheng Diao, Zhefan Duan, Zijian Yao

We develop a theory of logarithmic $A_{inf}$ -cohomology with coefficients for a class of $p$ -adic log formal schemes that are ``sufficiently log smooth'', where the coeffi…

math.AG2025

Monodromy and rigidity of crystalline local systems

Hansheng Diao, Zijian Yao

We study several rigidity properties of $p$ -adic local systems on a smooth rigid analytic space $X$ over a $p$ -adic field. We prove that the monodromy of the log isocrystal attache…

math.NT2025

$p$ -adic hyperbolicity for Shimura varieties and period images

Benjamin Bakker, Abhishek Oswal, Ananth N. Shankar +1

We prove that Shimura varieties and geometric period images satisfy a $p$ -adic extension property for large enough primes $p$ . More precisely, let $\mathsf{D}^{\times}\subset \math…

math.NT2024

Logarithmic A $_{inf}$ -cohomology

Hansheng Diao, Zijian Yao

We extend the construction of A $_{inf}$ -cohomology by Bhatt-Morrow-Scholze to the context of log $p$ -adic formal schemes over a log perfectoid base. In particular, using coordi…

math.NT2023

The Halo Conjecture for GL2

Hansheng Diao, Zijian Yao

We prove the Halo conjecture on the geometry of the eigencurve over the boundary of the weight space, predicted by Coleman-Mazur and Buzzard-Kilford.

Logarithmic Ainf​-cohomology, Part II

Monodromy and rigidity of crystalline local systems

p-adic hyperbolicity for Shimura varieties and period images

Logarithmic Ainf​-cohomology

The Halo Conjecture for GL2

Logarithmic $A_{inf}$ -cohomology, Part II

$p$ -adic hyperbolicity for Shimura varieties and period images

Logarithmic A $_{inf}$ -cohomology