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تسجيل مستخدم جديدA uniform bound for inertially equivalent, pure $ell$-adic representations: an extension of Faltings theorem
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We introduce a notion of inertial equivalence for integral $ell$-adic representation of the Galois group of a global field. We show that the collection of continuous, semisimple, pure $ell$-adic representations of the absolute Galois group of a global field lifting a fixed absolutely irreducible residual representation and with given inertial type outside a fixed finite set of places is uniformly bounded independent of the inertial type.
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