{ "id": "1409.2158", "version": "v1", "published": "2014-09-07T19:41:40.000Z", "updated": "2014-09-07T19:41:40.000Z", "title": "On the image of complex conjugation in certain Galois representations", "authors": [ "Ana Caraiani", "Bao V. Le Hung" ], "categories": [ "math.NT", "math.RT" ], "abstract": "We compute the image of any choice of complex conjugation on the Galois representations associated to regular algebraic cuspidal automorphic representations and to torsion classes in the cohomology of locally symmetric spaces for $GL_n$ over a totally real field $F$.", "revisions": [ { "version": "v1", "updated": "2014-09-07T19:41:40.000Z" } ], "analyses": { "keywords": [ "galois representations", "complex conjugation", "regular algebraic cuspidal automorphic representations", "totally real field", "locally symmetric spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.2158C" } } }