Lifting Galois representations of number fields |
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Authors: | Jayanta Manoharmayum |
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Institution: | Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, UK |
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Abstract: | Let F be a number field. Given a continuous representation with insoluble image we show, under moderate assumptions at primes dividing ?∞, that for some continuous representation which is unramified outside finitely many primes. We also establish level lowering when F is totally real, is the reduction of a nearly ordinary Hilbert modular form and is distinguished at ?. |
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Keywords: | 11F80 |
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