Ramla Abdellatif

activity

20162025

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4 papers · 1 filter

math.NT2023

Constructing $2$ -dimensional Lubin-Tate formal groups over $Z_{p}$ (I)

Ramla Abdellatif, Mabud Ali Sarkar

In this paper, we construct a class of $2$ -dimensional formal groups over $Z_{p}$ that provide a higher-dimensional analogue of the usual $1$ -dimensional Lubin-Tate formal g…

math.NT2023

Unlikely intersection in higher-dimensional formal groups

Ramla Abdellatif, Mabud Ali Sarkar, Absos Ali Shaikh

In this article, we identify a class of higher-dimensional formal groups over the ring of $p$ -adic integers that are uniquely determined by their $p$ -power torsion points. More pre…

math.NT2022

From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey

Ramla Abdellatif, Supriya Pisolkar, Marine Rougnant +1

Fontaine-Mazur Conjecture is one of the core statements in modern arithmetic geometry. Several formulations were given since its original statement in 1993, and various angles have…

math.NT2020

From $p$ -modular to $p$ -adic Langlands correspondences for $U (1, 1) (Q_{p^{2}} / Q_{p})$ : deformations in the non-supercuspidal case

Ramla Abdellatif, Agnès David, Beth Romano +1

This paper surveys what is known about (conjectural) $p$ -adic and $p$ -modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split u…

Constructing 2-dimensional Lubin-Tate formal groups over Zp​ (I)

Unlikely intersection in higher-dimensional formal groups

From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey

From p-modular to p-adic Langlands correspondences for U(1,1)(Qp2​/Qp​): deformations in the non-supercuspidal case

Constructing $2$ -dimensional Lubin-Tate formal groups over $Z_{p}$ (I)

From $p$ -modular to $p$ -adic Langlands correspondences for $U (1, 1) (Q_{p^{2}} / Q_{p})$ : deformations in the non-supercuspidal case