Galois Representations for the general symplectic group

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Arno Kret , University of Amsterdam

In a recent preprint with Sug Woo Shin () I construct Galois representations corresponding for cohomological cuspidal automorphic representations of general symplectic groups over totally real number fields under the local hypothesis that there is a Steinberg component. In this talk I will explain some parts of this construction that involve the eigenvariety.