{
  "id": "1509.00332",
  "version": "v1",
  "published": "2015-09-01T15:03:28.000Z",
  "updated": "2015-09-01T15:03:28.000Z",
  "title": "On 2-dimensional 2-adic Galois representations of local and global fields",
  "authors": [
    "Vytautas Paskunas"
  ],
  "comment": "46 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe the generic blocks in the category of smooth locally admissible mod $2$ representations of $\\mathrm{GL}_2(\\mathbb{Q}_2)$. As an application we obtain new cases of Breuil--M\\'ezard and Fontaine--Mazur conjectures for $2$-dimensional $2$-adic Galois representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-01T15:03:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global fields",
      "adic galois representations",
      "generic blocks",
      "smooth locally admissible mod",
      "fontaine-mazur conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150900332P"
    }
  }
}