{
  "id": "2207.02280",
  "version": "v1",
  "published": "2022-07-05T19:45:28.000Z",
  "updated": "2022-07-05T19:45:28.000Z",
  "title": "$λ$-invariant stability in families of modular Galois representations",
  "authors": [
    "Jeffrey Hatley",
    "Debanjana Kundu"
  ],
  "comment": "20 pages; comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "Consider a family of modular forms, all of whose residual $\\pmod{p}$ Galois representations are isomorphic. It is well-known that their corresponding Iwasawa $\\lambda$-invariants may vary. In this paper, we study this variation from a quantitative perspective, providing lower bounds on the frequency with which these $\\lambda$-invariants grow or remain stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-05T19:45:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R23",
      "11F11",
      "11R18"
    ],
    "keywords": [
      "modular galois representations",
      "invariant stability",
      "modular forms",
      "lower bounds",
      "invariants grow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}