Robin Bartlett

collaborators

3 papers

math.NT2019

On the irreducible components of some crystalline deformation rings

Robin Bartlett

We adapt a technique of Kisin to construct and study crystalline deformation rings of $G_{K}$ for a finite extension $K / Q_{p}$ . This is done by considering a moduli space of B…

math.NT2018

Potentially diagonalisable lifts with controlled Hodge--Tate weights

Robin Bartlett

Motivated by the weight part of Serre's conjecture we consider the following question. Let $K / Q_{p}$ be a finite extension and suppose $\overlineρ \colon G_K \rightarrow \op…

math.NT2018

Inertial and Hodge--Tate weights of crystalline representations

Robin Bartlett

Let $K$ be an unramified extension of $Q_{p}$ and $ρ : G_{K} \to GL_{n} (Z_{p})$ a crystalline representation. If the Hodge--Tate wei…