Sur la densité des représentations cristallines de

G Chenevier - Mathematische Annalen, 2013 - Springer
Let\mathfrak X _d be the p-adic analytic space classifying the semisimple continuous
representations Gal (\mathbb Q _p/\mathbb Q _p) →\mathrm GL _d (\mathbb Q _p). We …

On the existence of analytic families of stable lattices in trianguline representations and their reductions

E Torti - arXiv preprint arXiv:2401.00462, 2023 - arxiv.org
In this article, we prove the existence of rigid analytic families of $ G $-stable lattices with
locally constant reductions inside families of representations of a topologically compact …

Trianguline representations

L Berger - Bulletin of the London Mathematical Society, 2011 - Wiley Online Library
Trianguline representations are a certain class of p‐adic representations of Gal (Q̄p/Qp),
like the crystalline, semistable and de Rham representations of Fontaine. Their definition …

[PDF][PDF] Repr\'esentations galoisiennes automorphes et cons\'equences arithm\'etiques des conjectures de Langlands et Arthur

G Chenevier - arXiv preprint arXiv:1307.5170, 2013 - arxiv.org
Gaëtan CHENEVIER arXiv:1307.5170v1 [math.NT] 19 Jul 2013 Page 1 Mémoire d’habilitation
à diriger des recherches Soutenu le 29 Mars 2013 à l’université Paris XI Représentations …

On admissible tensor products in p-adic Hodge theory

G Di Matteo - Compositio Mathematica, 2013 - cambridge.org
We prove that if W and W′ are non-zero B-pairs whose tensor product is crystalline (or semi-
stable or de Rham or Hodge–Tate), then there exists a character μ such that W (μ− 1) and …

Galois level and congruence ideal for-adic families of finite slope Siegel modular forms

A Conti - Compositio Mathematica, 2019 - cambridge.org
Galois level and congruence ideal for p-adic families of finite slope Siegel modular forms Page
1 Galois level and congruence ideal for p-adic families of finite slope Siegel modular forms …

-adic rigidity of eigenforms of infinite slope

A Conti - arXiv preprint arXiv:2403.16918, 2024 - arxiv.org
We give a notion of $ p $-adic families of Hecke eigenforms that allows for the slope of the
forms be infinite at $ p $. We prove that, contrary to the case of finite slope when every …

On triangulable tensor products of -pairs and trianguline representations

L Berger, G Di Matteo - International Journal of Number Theory, 2021 - World Scientific
On triangulable tensor products of -pairs and trianguline representations Page 1 International
Journal of Number Theory Vol. 17, No. 10 (2021) 2221–2233 c© World Scientific Publishing …

𝐹-analytic 𝐵-pairs

L Poyeton - Proceedings of the American Mathematical Society, 2023 - ams.org
𝐹-analytic 𝐵-pairs Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 151, Number 6, June 2023, Pages 2399–2415 https://doi.org/10.1090/proc/16305 …

F-analytic B-pairs

L Poyeton - arXiv preprint arXiv:2011.04900, 2020 - arxiv.org
arXiv:2011.04900v3 [math.NT] 16 Feb 2022 Page 1 arXiv:2011.04900v3 [math.NT] 16 Feb
2022 F-ANALYTIC B-PAIRS by Léo Poyeton Abstract. — In this note, we define the notion of …