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Showing 1 to 3 of 3 for “"local-global compatibility"”.
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An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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A topology on points on stacks
… to the case when R is the ring of adeles of some global field. Finally, we use this last definition to strengthen the local-global compatibility for stacky curves of Bhargava-Poonen to a strong approximation result.
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The Taylor-Wiles method for reductive groups
We construct a local deformation problem for residual Galois representations ρ valued in an arbitrary reductive group Ĝ which we use to develop a variant of the Taylor–Wiles method. Our generalization allows Taylor–Wiles places for which the image of Frobenius is semisimple, a weakening of the …