On the reduction modulo \(p\) of certain modular \(p\)-adic Galois representations

DOI10.1016/j.jnt.2016.09.003zbMath1419.11079OpenAlexW2550921642MaRDI QIDQ344148

Abhik Ganguli

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.003

zbMATH Keywords

modular formsHilbert modular formsGalois representationsmod \(p\) reduction of Galois representationsmodular Galois representations

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80)

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
• On the weights of mod \(p\) Hilbert modular forms
• On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields
• On Galois representations associated to Hilbert modular forms
• Weights in Serre's conjecture for Hilbert modular forms: the ramified case
• Moduli of finite flat group schemes, and modularity
• On ordinary \(\lambda\)-adic representations associated to modular forms
• A study of certain modular representations
• Motives for Hilbert modular forms
• The weight in Serre's conjectures on modular forms
• Construction of some families of 2-dimensional crystalline representations
• On the meromorphic continuation of degree two \(L\)-functions
• Serre weights for mod p Hilbert modular forms: the totally ramified case
• Weights of Galois representations associated to Hilbert modular forms
• Formes modulaires de poids $1$
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• 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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