Explicit reduction modulo p of certain 2-dimensional crystalline representations, II

Abstract

We complete the calculations begun in [BG09], using the p-adic local Langlands correspondence for GL2(Q_p) to give a complete description of the reduction modulo p of the 2-dimensional crystalline representations of G_{Q_p} of slope less than 1, when p > 2.

10 pages. Correcting a minor typo

Cited by in corpus (9)

• Reduction of Galois Representations of slope 1
• On certain finiteness questions in the arithmetic of modular forms
• An algorithm for computing the reduction of $2$-dimensional crystalline representations of $\text{Gal}({\overline{\mathbf{Q}}}_p/{\mathbf{Q}}_p)$
• Semi-stable representations as limits of crystalline representations
• On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)
• An Iwahori theoretic mod $p$ Local Langlands Correspondence
• On the locus of $2$-dimensional crystalline representations with a given reduction modulo $p$
• Lattices in the cohomology of $U(3)$ arithmetic manifolds
• A Refined Lifting Theorem for Supersingular Galois Representations