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arXiv · 1510.01661

Ordinary pseudorepresentations and modular forms

Preston Wake·Carl Wang-Erickson
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Abstract

In this short note, we observe that the techniques of our recent work "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.

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Preston Wake, Carl Wang-Erickson. 2017-01-30. Ordinary pseudorepresentations and modular forms. https://doi.org/10.1090/bproc%2F29

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