Reductions of some two-dimensional crystalline representations via Kisin modules

J Bergdall, B Levin - International Mathematics Research …, 2022 - academic.oup.com
We determine rational Kisin modules associated with 2-dimensional, irreducible, crystalline
representations of of Hodge–Tate weights. If the slope is larger than, we further identify an …

Local constancy for reductions of two-dimensional crystalline representations

E Torti - Journal de théorie des nombres de Bordeaux, 2022 - numdam.org
Nous prouvons l'existence du phénomène de constance locale pour les réductions modulo
pn (p impair) des représentations de Gal (ℚp/ℚ p) de dimension 2 qui sont cristallines et …

Reductions of Galois representations and the theta operator

E Ghate, A Kumar - International Journal of Number Theory, 2022 - World Scientific
Let p≥ 5 be a prime, and let f be a cuspidal eigenform of weight at least 2 and level coprime
to p of finite slope α. Let ρ ̄ f denote the mod p Galois representation associated with f and …