On the image of complex conjugation in certain Galois representations

Ana Caraiani, Bao V. Le Hung

Published 2014-09-07Version 1

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 $F$.