Deforming semistable Galois representations.
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- Record sourced from PubMed, PMID 11607758.
- Also identified by PMC identifier 34507.
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Abstract
Let V be a p-adic representation of Gal(Q/Q). One of the ideas of Wiles's proof of FLT is that, if V is the representation associated to a suitable autromorphic form (a modular form in his case) and if V' is another p-adic representation of Gal(Q/Q) "closed enough" to V, then V' is also associated to an automorphic form. In this paper we discuss which kind of local condition at p one should require on V and V' in order to be able to extend this part of Wiles's methods.