Potentially semi-stable deformation rings for representations with values in $PGL_n$
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-Mézard conjecture, and we show that the case of $PGL_n$ follows from the case of $GL_n$.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- 10.48550/arXiv.2207.13015
- arXiv:
- arXiv:2207.13015
- Bibcode:
- 2022arXiv220713015D
- Keywords:
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- Mathematics - Number Theory;
- 11F80
- E-Print:
- minor update