Weight cycling and Serre-type conjectures for unitary groups
By M. Emerton, T. Gee, F. Herzig. 2011
52 citations recorded by the source corpus.
We prove that for forms of U(3) which are compact at infinity and split at places dividing a prime p, in generic situations the Serre weights of a mod p modular Galois representation which is irreducible when restricted to each decomposition group above p are exactly those previously predicted by the third author. We do this by combining explicit computations in p-adic Hodge theory, based on a formalism of strongly divisible modules and Breuil modules with descent data which we develop in the paper, with a technique that we call "weight cycling".
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2ce33162a353dd9e11de095357a2d8df59645ba7
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In Geometry and Topology
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Citations in the corpus
- General Serre weight conjectures (2015, methodology): “t considering the case p= 2 separately, at least in the cases when ρis reducible). Dualising using Lemma 8.2.12 we obtain a similar list for ρ|I Qp for the weight F (a,b,b−p) −η . 8.3. The results of [EGH13]. The paper [EGH13] considers the weight part of Serre’s conjecture for Galois representation”