A Local-Global Study of Obstructed Deformation Problems -- I
Number Theory
2026-01-28 v2
Abstract
We study obstructed deformation problems for two-dimensional residual Galois representations arising from weight~ newforms of level~. Using Poitou-Tate duality, we isolate local and global sources of obstructions and give concrete criteria for when they occur. In several cases we also describe the resulting universal deformation ring explicitly.
Cite
@article{arxiv.2404.01414,
title = {A Local-Global Study of Obstructed Deformation Problems -- I},
author = {Bartu Bingol},
journal= {arXiv preprint arXiv:2404.01414},
year = {2026}
}