On some applications of integral \(p\)-adic Hodge theory to Galois representations

DOI10.1016/j.jnt.2014.07.026zbMath1380.11079OpenAlexW2093216641MaRDI QIDQ472871

Go Yamashita, Seidai Yasuda

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.2014.07.026

zbMATH Keywords

automorphy (modularity) lifting theoremsintegral \(p\)-adic Hodge theorymoduli of wach moduleswach module

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (1)

Reductions of Galois representations of slope 1

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on potential diagonalizability of crystalline representations
• A family of Calabi-Yau varieties and potential automorphy. II.
• On reductions of families of crystalline Galois representations
• Moduli of finite flat group schemes, and modularity
• A family of Calabi-Yau varieties and potential automorphy
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Construction of some families of 2-dimensional crystalline representations
• Modularity lifting theorems for ordinary Galois representations
• Potential automorphy and change of weight
• Local constancy for the reduction mod p of 2-dimensional crystalline representations
• Limites de représentations cristallines
• Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations
• Potentially semi-stable deformation rings

This page was built for publication: On some applications of integral \(p\)-adic Hodge theory to Galois representations