Browsing by Author "Morra, Stefano"

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    Serre weights for three-dimensional wildly ramified Galois representations
    (MSP, 2024) Le, Daniel; Le Hung, Bao V.; Levin, Brandon; Morra, Stefano; Mathematics
    We formulate and prove the weight part of Serre’s conjecture for three-dimensional mod p Galois representations under a genericity condition when the field is unramified at p. This removes the assumption made previously that the representation be tamely ramified at p. We also prove a version of Breuil’s lattice conjecture and a mod p multiplicity one result for the cohomology of U(3)-arithmetic manifolds. The key input is a study of the geometry of the Emerton–Gee stacks using the local models we introduced previously (2023).