Léo Poyeton


Research

Research Themes

I work in number theory and I am more precisely interested in p-adic Galois representations, (φ, Γ)-modules, p-adic Hodge theory and some related algorithmic aspects.

Preprints


de Rham theory and locally analytic vectors (with Hui Gao and Gal Porat), pdf, arXiv

Locally analytic vectors and Zp-extensions, pdf, arXiv

Multivariable p-adic Hodge theory for products of Galois groups (with Pietro Vanni), pdf, arXiv

Articles and research papers


Locally analytic vectors and rings of periods, Doc. Math. (2025), pdf, arXiv

A criterion for Lubin's conjecture,Rend. Semin. Mat. Univ. Padova (2024), pdf, arXiv.

F-analytic B-pairs, Proceedings of the AMS (2023), pdf, arXiv

Families of Galois representations and (φ, τ)-modules (with Aditya Karnataki), Transactions of the AMS (2023), pdf, arXiv

Formal groups and lifts of the field of norms, Algebra & Number Theory (2022), pdf, arXiv

(φ, τ)-modules différentiels et représentations potentiellement semi-stables, Journal de Théorie des Nombres de Bordeaux (2021), pdf, arXiv

Locally analytic vectors and overconvergent (φ, τ)-modules (with Hui Gao), J. Inst. Math. Jussieu (2019), pdf, arXiv

PhD

My PhD thesis, supervised by Laurent Berger and defended April 11th 2019.

Errata

Here is an Errata for my writings. If you notice mistakes in some of my papers that are not contained in this errata please tell me.

Miscellaneous

I have organized in 2024 a workshop on the Fargues-Fontaine curve at the IMB.