An algorithm for computing the reduction of 2-dimensional crystalline representations of Gal(ℚ¯p/ℚp)

DOI10.1142/S1793042118501117zbMath1435.11085arXiv1603.00763OpenAlexW3122182091MaRDI QIDQ3177691

Sandra Rozensztajn

Publication date: 1 August 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00763

zbMATH Keywords

Galois representations\(p\)-adic Langlands correspondence

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (6)

An algorithm for computing the reduction of 2-dimensional crystalline representations of Gal(ℚ¯p/ℚp) ⋮ Reductions of Galois representations of slope 1 ⋮ On the locus of 2-dimensional crystalline representations with a given reduction modulo \(p\) ⋮ Reduction of certain crystalline representations and local constancy in the weight space ⋮ On the reductions of certain two-dimensional crystalline representations ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms

Uses Software

• SageMath

Cites Work

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• Reductions of Galois representations for slopes in \((1,2)\)
• Reductions of Galois representations via the mod \(p\) local Langlands correspondence
• A study of certain modular representations
• Irreducible modular representations of GL\(_ 2\) of a local field
• Reductions of Galois representations of slope 1
• The cohomology of \(p\)-adic symmetric spaces
• Construction of some families of 2-dimensional crystalline representations
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• Local constancy for the reduction mod p of 2-dimensional crystalline representations
• An algorithm for computing the reduction of 2-dimensional crystalline representations of Gal(ℚ¯p/ℚp)
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations
• Explicit reduction modulo p of certain 2-dimensional crystalline representations, II

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