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Pré-Publication, Document De Travail Année : 2022

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

Agnès David
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Résumé

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 $\GL_n$.

Dates et versions

hal-03854461 , version 1 (15-11-2022)

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Sandra Rozensztajn, Agnès David. Potentially semi-stable deformation rings for representations with values in PGL_n. 2022. ⟨hal-03854461⟩
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