Robin Bartlett

activity

20182023

most citedOn the irreducible components of some crystalline deformation rings

4 citations · 5 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2023

Irreducibility of some crystalline loci with irregular Hodge--Tate weights

Robin Bartlett

We show that loci of crystalline representations of $G_{K}$ for $K / Q_{p}$ an unramified extension are irreducible when the Hodge--Tate weights are fixed and sufficiently small…

math.NT2023

Cycles relations in the affine grassmannian and applications to Breuil--Mézard for G-crystalline representations

Robin Bartlett

For a split reductive group $G$ we realise identities in the Grothendieck group of $G$ -representation in terms of cycle relations between certain closed subschemes inside…

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…

math.NT2021

Degenerating products of flag varieties and applications to the Breuil--Mezard conjecture

Robin Bartlett

We consider closed subschemes in the affine grassmannian obtained by degenerating $e$ -fold products of flag varieties, embedded via a tuple of dominant cocharacters. For $G= \opera…

math.NT2020

Potential diagonalisability of pseudo-Barsotti-Tate representations

Robin Bartlett

Previous work of Kisin and Gee proves potential diagonalisability of two dimensional Barsotti-Tate representations of the Galois group of a finite extension $K / Q_{p}$ . In th…

math.NT2019★ 4 cited

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★ 1 cited

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…