{
  "abstract": "For a crystalline representation of the absolute Galois group of Q_p, with given Hodge-Tate weights, we obtain new constraints on the inertial weights of its mod p reduction. This allows us to formulate an explicit Serre weight conjecture, in the generality of L-parameters for unramified connected reductive groups over Q_p, and to prove the elimination direction of this conjecture. The proof uses prismatic techniques to show that the reductions modulo p of the Breuil-Kisin modules attached to crystalline Galois representations acquire a natural μ_p-equivariant structure. Combining this with results on the geometry of the μ_p-fixed points of affine Grassmannians leads to our new constraint.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.08660",
  "author_total": 3,
  "authors": [
    {
      "name": "Bhargav Bhatt"
    },
    {
      "name": "Toby Gee"
    },
    {
      "name": "Mark Kisin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xfdjb0hjb92t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.08660",
  "fulltext_url": null,
  "id": "6xfdjb0hjb92t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.08660",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7167915320",
  "pdf_url": "https://arxiv.org/pdf/2607.08660",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xfdjb0hjb92t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2607.08660",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.08660"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Reduction modulo p of crystalline Galois representations via μ_p-equivariance",
  "title_text": "Reduction modulo p of crystalline Galois representations via μ_p-equivariance",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/6xfdjb0hjb92t",
  "venue": "arXiv",
  "versions": []
}