On the image of complex conjugation in certain Galois representations

Ana Caraiani; Bao V. Le Hung

doi:10.1112/S0010437X16007016

On the image of complex conjugation in certain Galois representations

Ana Caraiani, Bao V. Le Hung

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 over a totally real field.

Original language	English (US)
Pages (from-to)	1476-1488
Number of pages	13
Journal	Compositio Mathematica
Volume	152
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X16007016
State	Published - Jul 1 2016

Keywords

Galois representations
local-global compatibility
locally symmetric spaces
torsion classes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1112/S0010437X16007016

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title = "On the image of complex conjugation in certain Galois representations",

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 over a totally real field.",

keywords = "Galois representations, local-global compatibility, locally symmetric spaces, torsion classes",

author = "Ana Caraiani and {Le Hung}, {Bao V.}",

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AU - Le Hung, Bao V.

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N2 - 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 over a totally real field.

AB - 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 over a totally real field.

KW - Galois representations

KW - local-global compatibility

KW - locally symmetric spaces

KW - torsion classes

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On the image of complex conjugation in certain Galois representations

Abstract

Keywords

ASJC Scopus subject areas

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