DEFORMATIONS OF GALOIS REPRESENTATIONS AND THE THEOREMS OF SATO–TATE AND LANG–TROTTER

DOI10.1142/S1793042111004939zbMath1333.11049arXiv0908.1752OpenAlexW2013657204MaRDI QIDQ3115734

Aftab Pande

Publication date: 10 February 2012

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

Full work available at URL: https://arxiv.org/abs/0908.1752

zbMATH Keywords

deformationsGalois representationsSato-Tate theoreminfinitely ramified

Mathematics Subject Classification ID

Galois representations (11F80)

Cites Work

• A family of Calabi-Yau varieties and potential automorphy
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Lifting Galois representations of number fields
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Lifting modular mod \(l\) representations
• Infinitely ramified Galois representations.
• Lifting Galois representations
• Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur.
• Modular elliptic curves and Fermat's Last Theorem
• Finding meaning in error terms
• Constructing Galois Representations with Very Large Image
• Constructing semisimple p -adic Galois representations with prescribed properties

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