Reductions of Galois representations via the mod \(p\) local Langlands correspondence
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Publication:472832
DOI10.1016/J.JNT.2014.07.011zbMath1383.11075OpenAlexW2088300286MaRDI QIDQ472832
Abhik Ganguli, Eknath P. Ghate
Publication date: 20 November 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2014.07.011
Related Items (11)
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 reduction modulo \(p\) of certain modular \(p\)-adic Galois representations ⋮ Semi-stable deformation rings in even Hodge–Tate weights: The residually reducible case ⋮ Reductions of Galois representations and the theta operator ⋮ On the locus of 2-dimensional crystalline representations with a given reduction modulo \(p\) ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ Reduction of certain crystalline representations and local constancy in the weight space ⋮ A refined lifting theorem for supersingular Galois representations ⋮ The monomial lattice in modular symmetric power representations ⋮ On the reductions of certain two-dimensional crystalline representations
Cites Work
- A study of certain modular representations
- Irreducible modular representations of GL\(_ 2\) of a local field
- The weight in Serre's conjectures on modular forms
- Construction of some families of 2-dimensional crystalline representations
- 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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