REDUCTIONS OF -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE -INVARIANT

DOI10.1017/s1474748022000081arXiv2006.16294OpenAlexW4220920547MaRDI QIDQ6076535

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Publication date: 17 October 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16294

zbMATH Keywords

Kisin modules\(p\)-adic Hodge theoryBreuil modulessemistable representations\((\phi,N)\)-moduleslocal Galois representations modulo \(p\)

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80)

Cites Work

• Semi-stable \(p\)-adic representations and Griffiths' transversality
• Modular forms and \(p\)-adic Hodge theory
• Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
• Semistable deformation rings in even Hodge-Tate weights
• A counterexample to the Gouvêa-Mazur conjecture
• Construction of some families of 2-dimensional crystalline representations
• Construction of semi-stable \(p\)-adic representations
• Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula
• Upper bounds for constant slope \(p\)-adic families of modular forms
• A control theorem for \(p\)-adic automorphic forms and Teitelbaum's \(\mathcal{L} \)-invariant
• Local constancy for the reduction mod p of 2-dimensional crystalline representations
• Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations
• Torsion p-adic Galois representations and a conjecture of Fontaine
• Crystalline representations and F-crystals
• On lattices in semi-stable representations: a proof of a conjecture of Breuil
• Reductions of Some Two-Dimensional Crystalline Representations via Kisin Modules
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