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arXiv · 1707.01896

Deformation conditions for pseudorepresentations

Preston Wake·Carl Wang-Erickson
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Abstract

Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur's Galois deformation theory for representations with that property. We introduce an axiomatic definition of pseudorepresentations with such a property. Among other things, we show that pseudorepresentations with a property enjoy a good deformation theory, generalizing Ramakrishna's theory to pseudorepresentations.

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Preston Wake, Carl Wang-Erickson. 2017-07-06. Deformation conditions for pseudorepresentations. https://doi.org/10.1017/fms.2019.19

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