Zijian Yao

activity

20232026

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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…

Monodromy and rigidity of crystalline local systems

p-adic hyperbolicity for Shimura varieties and period images

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