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arXiv · 2207.13015

Potentially semi-stable deformation rings for representations with values in $PGL_n$

Agnès David·Sandra Rozensztajn
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Abstract

We study the potentially semi-stable deformation rings for Galois representations taking their values in $PGL_n$, by comparing them to the deformation rings for $GL_n$. As an application, we state an analogue of the Breuil-M\'ezard conjecture, and we show that the case of $PGL_n$ follows from the case of $GL_n$.

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Agnès David, Sandra Rozensztajn. 2022-07-26. Potentially semi-stable deformation rings for representations with values in $PGL_n$. https://arxiv.org/abs/2207.13015

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