Christian Klevdal

activity

20202026

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

Admissible pairs and $p$ -adic Hodge structures I: Transcendence of the de Rham lattice

Sean Howe, Christian Klevdal

For an algebraically closed non-archimedean extension $C / Q_{p}$ , we define a Tannakian category of $p$ -adic Hodge structures over $C$ that is a local, $p$ -adic analog of the…

math.NT2023

Admissible pairs and $p$ -adic Hodge structures II: The bi-analytic Ax-Lindemann theorem

Sean Howe, Christian Klevdal

We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application…

math.NT2023

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…

Admissible pairs and p-adic Hodge structures I: Transcendence of the de Rham lattice

Admissible pairs and p-adic Hodge structures II: The bi-analytic Ax-Lindemann theorem

Compatibility of canonical ℓ-adic local systems on Shimura varieties

Admissible pairs and $p$ -adic Hodge structures I: Transcendence of the de Rham lattice

Admissible pairs and $p$ -adic Hodge structures II: The bi-analytic Ax-Lindemann theorem

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