Gal Porat

activity

20242026

collaborators

5 papers

math.NT2026

de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, LÃ©o Poyeton

Let $K_{\infty} / K$ be a $p$ -adic Lie extension of a $p$ -adic field $K$ . We study the subring of pro-analytic vectors in the de Rham period ring $B_{dR}^{+} (K_{\infty})$ …

math.NT2025

Solid locally analytic representations in mixed characteristic

Gal Porat

The theory of locally analytic representations of $p$ -adic Lie groups with $Q_{p}$ -coefficients is a powerful tool in $p$ -adic Hodge theory and in the $p$ -adic Langlands pro…

math.NT2025

Locally analytic vectors and decompletion in mixed characteristic

Gal Porat

In $p$ -adic Hodge theory and the $p$ -adic Langlands program, Banach spaces with $Q_{p}$ -coefficients and $p$ -adic Lie group actions are central. Studying the subrepresentati…

math.NT2024

Gal Porat

We prove a conjecture of Emerton, Gee and Hellmann concerning the overconvergence of Ã©tale $(I ¨ , I^)$ -modules in families parametrized by topologically finite type $Z_{p}$ …

math.NT2024

Locally analytic vector bundles on the Fargues-Fontaine curve

Gal Porat

In this article, we develop a version of Sen theory for equivariant vector bundles on the Fargues-Fontaine curve. We show that every equivariant vector bundle canonically descends…

de Rham theory and locally analytic vectors

Solid locally analytic representations in mixed characteristic

Locally analytic vectors and decompletion in mixed characteristic

Overconvergence of Ã©tale (I¨,I^)-modules in families

Locally analytic vector bundles on the Fargues-Fontaine curve

Overconvergence of Ã©tale $(I ¨ , I^)$ -modules in families