Moduli stacks of (phi, Gamma)-modules: a survey

M Emerton, T Gee - arXiv preprint arXiv:2012.12719, 2020 - arxiv.org
This survey article is based on 10 lectures that we gave at the September 2019 Hausdorff
School in Bonn on" the Emerton--Gee stack and related topics", and the sections correspond …

Reduction of certain crystalline representations and local constancy in the weight space

S Bhattacharya - Journal de théorie des nombres de …, 2020 - jtnb.centre-mersenne.org
We study the mod p reduction of crystalline local Galois representations of dimension 2.
Berger showed that for a fixed non-zero trace of the Frobenius, the reduction process is …

[PDF][PDF] Extensions for supersingular representations of GL 2 (ℚ p)

V Paškūnas - numdam.org
Paškūnas, Vytautas. Extensions for supersingular representations of $ GL_2 (\mathbb {Q}
_p) $, dans Représentations $ p $-adiques de groupes $ p $-adiques III: méthodes globales …