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arXiv · 1505.05128

Pseudo-modularity and Iwasawa theory

Preston Wake·Carl Wang-Erickson
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Abstract

We prove, assuming Greenberg's conjecture, that the ordinary eigencurve is Gorenstein at an intersection point between the Eisenstein family and the cuspidal locus. As a corollary, we obtain new results on Sharifi's conjecture. This result is achieved by constructing a universal ordinary pseudodeformation ring and proving an $R = \mathbb T$ result.

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Preston Wake, Carl Wang-Erickson. 2015-05-19. Pseudo-modularity and Iwasawa theory. https://doi.org/10.1353/ajm.2018.0022

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