{ "id": "1602.01297", "version": "v1", "published": "2016-02-03T13:48:16.000Z", "updated": "2016-02-03T13:48:16.000Z", "title": "On the local Langlands correspondence for quasi-split even orthogonal groups", "authors": [ "Hiraku Atobe", "Wee Teck Gan" ], "comment": "49 pages", "categories": [ "math.NT", "math.RT" ], "abstract": "In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O_{2n} established by Arthur. We give two applications: Prasad's conjecture and Gross--Prasad conjecture for O_{n}. Also, we discuss the Arthur conjecture for O_{2n}, and establish the Arthur multiplicity formula for O_{2n}.", "revisions": [ { "version": "v1", "updated": "2016-02-03T13:48:16.000Z" } ], "analyses": { "keywords": [ "local langlands correspondence", "orthogonal groups", "quasi-split", "arthur multiplicity formula", "gross-prasad conjecture" ], "note": { "typesetting": "TeX", "pages": 49, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160201297A" } } }