{
  "id": "1412.6193",
  "version": "v1",
  "published": "2014-12-19T01:43:36.000Z",
  "updated": "2014-12-19T01:43:36.000Z",
  "title": "Exposing Relative Endoscopy in Unitary Symmetric Spaces",
  "authors": [
    "Jason K. C. Polák"
  ],
  "comment": "21 pages, comments very welcome",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We introduce a new class of symmetric space orbital integrals important for applications in certain relative trace formulas appearing in the theory of automorphic representations. We verify a fundamental lemma for $U_2\\times U_2\\hookrightarrow U_4$ via an explicit calculation, showing strong evidence that there is a general theory of endoscopy lurking in this situation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T01:43:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "unitary symmetric spaces",
      "exposing relative endoscopy",
      "symmetric space orbital integrals important",
      "relative trace formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6193P"
    }
  }
}