Ordinary pseudorepresentations and modular forms

Ordinary pseudorepresentations and modular forms

In this note, we observe that the techniques of our paper ``Pseudo-modularity and Iwasawa theory'' can be used to provide a new proof of some of the residually reducible modularity lifting results of Skinner and Wiles. In these cases, we have found that a deformation ring of ordinary pseud...

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Veröffentlicht in:Proceedings of the American Mathematical Society. Series B 2017-12, Vol.4 (6), p.53-71
Hauptverfasser: Preston Wake, Carl Wang-Erickson
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Carl Wang-Erickson
description In this note, we observe that the techniques of our paper ``Pseudo-modularity and Iwasawa theory'' can be used to provide a new proof of some of the residually reducible modularity lifting results of Skinner and Wiles. In these cases, we have found that a deformation ring of ordinary pseudorepresentations is equal to the Eisenstein local component of a Hida Hecke algebra. We also show that Vandiver's conjecture implies Sharifi's conjecture.
doi_str_mv 10.1090/bproc/29
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title Ordinary pseudorepresentations and modular forms
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