{ "id": "1205.0734", "version": "v3", "published": "2012-05-03T15:19:40.000Z", "updated": "2019-12-18T13:31:42.000Z", "title": "Geometric realization of the local Langlands correspondence for representations of conductor three", "authors": [ "Naoki Imai", "Takahiro Tsushima" ], "comment": "23 pages", "categories": [ "math.NT", "math.AG" ], "abstract": "We prove a realization of the local Langlands correspondence for two-dimensional representations of a Weil group of conductor three in the cohomology of Lubin-Tate curves by a purely local geometric method.", "revisions": [ { "version": "v2", "updated": "2012-07-02T15:23:31.000Z", "comment": "17 pages", "journal": null, "doi": null }, { "version": "v3", "updated": "2019-12-18T13:31:42.000Z" } ], "analyses": { "subjects": [ "11F80", "11G20" ], "keywords": [ "local langlands correspondence", "geometric realization", "purely local geometric method", "two-dimensional representations", "weil group" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.0734I" } } }