{ "id": "2209.07346", "version": "v1", "published": "2022-09-15T14:57:21.000Z", "updated": "2022-09-15T14:57:21.000Z", "title": "The Local Langlands Conjecture for $G_2$", "authors": [ "Wee Teck Gan", "Gordan Savin" ], "categories": [ "math.NT" ], "abstract": "We prove the local Langlands conjecture for the exceptional group $G_2(F)$ where $F$ is a non-archimedean local field of characteristic zero.", "revisions": [ { "version": "v1", "updated": "2022-09-15T14:57:21.000Z" } ], "analyses": { "subjects": [ "11F27", "11F70", "22E50" ], "keywords": [ "local langlands conjecture", "non-archimedean local field", "characteristic zero", "exceptional group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }