M. Steinmetz

activity

20202023

collaborators

3 papers

math.NT2023

Packets of Serre weights for generic locally reducible two-dimensional Galois representations

Misja F. A. Steinmetz

Suppose $K / Q_{p}$ is finite and $r : G_{K} \to GL_{2} (F_{p})$ is a reducible Galois representation. In this paper we prove that we can u…

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.NT2020

Explicit Serre weights for two-dimensional Galois representations over a ramified base

Misja F. A. Steinmetz

Given a totally real number field $F$ and a mod $p$ Galois representation $ρ : G_{F} \to GL_{2} (F ˉ_{p})$ , we propose an explicit definition of the set of Serre…