p-adic families of Galois representations and higher rank Selmer groups

Abstract

This is the final version of a book about p-adic families of Galois representations, Selmer groups, eigenvarieties and Arthur's conjectures

arXiv commentbook (252 pages)

References in corpus (1)

• Slope filtrations revisited

Cited by in corpus (14)

• Classification of two dimensional split trianguline representations of $p$-adic fields
• Iwasawa Main Conjecture for Non-Ordinary Modular Forms
• Triangulordinary Selmer Groups
• On the Bloch-Kato conjecture for the Asai L-function
• Maass spaces on U(2,2) and the Bloch-Kato conjecture for the symmetric square motive of a modular form
• On trivial zeros of Perrin-Riou's $L$-functions
• On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields
• Cohomology and Duality for (phi,Gamma)-modules over the Robba ring
• On deformation rings of residually reducible Galois representations and R=T theorems
• New examples of p-adically rigid automorphic forms
• Nearly Ordinary Galois Deformations over Arbitrary Number Fields
• Modularity of residual Galois extensions and the Eisenstein ideal
• Oddness of residually reducible Galois representations
• Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation