Gal Porat

activity

20182026

most citedLocally analytic vector bundles on the Fargues-Fontaine curve

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, Léo 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.NT2024

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.NT2022

Overconvergence of étale $(φ, Γ)$ -modules in families

Gal Porat

We prove a conjecture of Emerton, Gee and Hellmann concerning the overconvergence of étale $(φ, Γ)$ -modules in families parametrized by topologically finite type $Z_{p}$ -al…

math.NT2022★ 2 cited

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…

math.NT2020★ 1 cited

Lubin-Tate theory and overconvergent Hilbert modular forms of low weight

Gal Porat

Let $K$ be a finite extension of $Q_{p}$ and let $Γ$ be the Galois group of the cyclotomic extension of $K$ . Fontaine's theory gives a classification of $p$ -adic represent…

math.NT2018

Induction and restriction of (ϕ,Γ)-modules

Ehud de Shalit, Gal Porat

Let L be a non-archimedean local field of characteristic 0. We present a variant of the theory of (ϕ,Γ)-modules associated with Lubin-Tate groups, developed by Kisin and Ren [Ki-Re…

de Rham theory and locally analytic vectors

Solid locally analytic representations in mixed characteristic

Locally analytic vectors and decompletion in mixed characteristic

Overconvergence of étale (φ,Γ)-modules in families

Locally analytic vector bundles on the Fargues-Fontaine curve

Lubin-Tate theory and overconvergent Hilbert modular forms of low weight

Induction and restriction of (ϕ,Γ)-modules

Overconvergence of étale $(φ, Γ)$ -modules in families