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On the image of complex conjugation in certain Galois representations

Published online by Cambridge University Press:  23 May 2016

Ana Caraiani
Department of Mathematics, Princeton University, Fine Hall, Washington Rd., Princeton, NJ 08544, USA email
Bao V. Le Hung
Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USA email
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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 $\text{GL}_{n}$ over a totally real field $F$.

MSC classification

Research Article
© The Authors 2016 


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