Stefan Patrikis

activity

20242026

collaborators

3 papers

math.NT2026

Compatibility of $F$ -isocrystals on adjoint Shimura varieties

Jake Huryn, Kiran S. Kedlaya, Christian Klevdal +1

In this article, we extend past results of the last two authors to include compatibility of canonical $ℓ$ -adic local systems and canonical $F$ -isocrystals on adjoint Shimura var…

math.NT2025

Compatibility of canonical $ℓ$ -adic local systems on Shimura varieties, II

Stefan Patrikis

Let $(G, X)$ be a Shimura datum. In previous work with Christian Klevdal, we showed that the canonical $G (Q_{ℓ})$ -valued local systems on Shimura varieties for $G$ form…

math.NT2024

Compatibility of canonical $ℓ$ -adic local systems on Shimura varieties

Christian Klevdal, Stefan Patrikis

For a Shimura variety $(G, X)$ in the superrigid regime and neat level subgroup $K_{0}$ , we show that the canonical family of $ℓ$ -adic representations associated to a number field…

Compatibility of F-isocrystals on adjoint Shimura varieties

Compatibility of canonical ℓ-adic local systems on Shimura varieties, II

Compatibility of canonical ℓ-adic local systems on Shimura varieties

Compatibility of $F$ -isocrystals on adjoint Shimura varieties

Compatibility of canonical $ℓ$ -adic local systems on Shimura varieties, II

Compatibility of canonical $ℓ$ -adic local systems on Shimura varieties