2 papers
math.NT2023
Irreducibility of some crystalline loci with irregular Hodge--Tate weights
Robin Bartlett
We show that loci of crystalline representations of for an unramified extension are irreducible when the Hodge--Tate weights are fixed and sufficiently small…
math.NT2022
Explicit Serre weights for GL_2 via Kummer theory
Robin Bartlett, Misja F. A. Steinmetz
We give an explicit formulation of the weight part of Serre's conjecture for GL_2 using Kummer theory. This avoids any reference to p-adic Hodge theory. The key inputs are a descri…