A zig-zag conjecture and local constancy for Galois representations (Algebraic Number Theory and Related Topics 2018)

E Ghate - 数理解析研究所講究録別冊, 2021 - repository.kulib.kyoto-u.ac.jp
We make a zig-zag conjecture describing the reductions of irreducible crystalline
twodimensional representations of GQp of half-integral slopes and exceptional weights …

On the reductions of certain two-dimensional crystalline representations, III

B Arsovski - arXiv preprint arXiv:2102.13568, 2021 - arxiv.org
A conjecture of Breuil, Buzzard, and Emerton says that the slopes of certain reducible $ p $-
adic Galois representations must be integers. In previous work we showed this conjecture …

A refined lifting theorem for supersingular Galois representations

A Ray - Journal of Number Theory, 2021 - Elsevier
Let p≥ 5 be a prime number, F a finite field of characteristic p and let χ¯ be the mod-p
cyclotomic character. Let ρ¯: GQ→ GL 2 (F) be a Galois representation such that the local …