Zijian Yao

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20242026

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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…

p-adic hyperbolicity for Shimura varieties and period images

Logarithmic Ainf​-cohomology

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

Logarithmic A $_{inf}$ -cohomology