English

On Euler systems for adjoint Hilbert modular Galois representations

Number Theory 2021-02-15 v1

Abstract

We prove the existence of Euler systems for adjoint modular Galois representations using deformations of Galois representations coming from Hilbert modular forms and relate them to pp-adic LL-functions under a conjectural formula for the Fitting ideals of some equivariant congruence modules for abelian base change.

Keywords

Cite

@article{arxiv.2102.06305,
  title  = {On Euler systems for adjoint Hilbert modular Galois representations},
  author = {Eric Urban},
  journal= {arXiv preprint arXiv:2102.06305},
  year   = {2021}
}

Comments

27 pages

R2 v1 2026-06-23T23:05:20.732Z