{
  "id": "1209.5205",
  "version": "v3",
  "published": "2012-09-24T09:21:52.000Z",
  "updated": "2014-03-20T10:45:04.000Z",
  "title": "On the Breuil-Mézard conjecture",
  "authors": [
    "Vytautas Paskunas"
  ],
  "comment": "Subsections of {\\S}2 have been rearranged; {\\S}2.1 ({\\S}2.2 in v2) has been rewritten to prove a stronger result; Remark 4.8 in v2 is false, {\\S}4 has been rewritten to fix this; Prop.6.23, {\\S}8 added",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a new local proof of Breuil-M\\'ezard conjecture for two dimensional representations of the absolute Galois group of $\\mathbb{Q}_p$, when $p\\ge 5$ and the representation has scalar endomorphisms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-20T10:45:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "breuil-mézard conjecture",
      "absolute galois group",
      "breuil-mezard conjecture",
      "dimensional representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.5205P"
    }
  }
}