Serre weights for three-dimensional wildly ramified Galois representations

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dc.citation.firstpage1221en_US
dc.citation.issueNumber7en_US
dc.citation.journalTitleAlgebra & Number Theoryen_US
dc.citation.lastpage1274en_US
dc.citation.volumeNumber18en_US
dc.contributor.authorLe, Danielen_US
dc.contributor.authorLe Hung, Bao V.en_US
dc.contributor.authorLevin, Brandonen_US
dc.contributor.authorMorra, Stefanoen_US
dc.contributor.orgMathematicsen_US
dc.date.accessioned2024-10-08T13:27:47Zen_US
dc.date.available2024-10-08T13:27:47Zen_US
dc.date.issued2024en_US
dc.description.abstractWe 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).en_US
dc.identifier.citationLe, D., Le Hung, B. V., Levin, B., & Morra, S. (2024). Serre weights for three-dimensional wildly ramified Galois representations. Algebra & Number Theory, 18(7), 1221–1274. https://doi.org/10.2140/ant.2024.18.1221en_US
dc.identifier.digitalant-v18-n7-p01-sen_US
dc.identifier.doihttps://doi.org/10.2140/ant.2024.18.1221en_US
dc.identifier.urihttps://hdl.handle.net/1911/117915en_US
dc.language.isoengen_US
dc.publisherMSPen_US
dc.rightsExcept where otherwise noted, this work is licensed under a Creative Commons Attribution (CC BY) license. Permission to reuse, publish, or reproduce the work beyond the terms of the license or beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleSerre weights for three-dimensional wildly ramified Galois representationsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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