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

Agnès David; Sandra Rozensztajn

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

Number Theory 2022-12-29 v2

Authors: Agnès David , Sandra Rozensztajn

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 $GL_n$ .

Keywords

potentially semi-stable deformation rings galois representations pgl_n gl_n breuil-mezard conjecture

Cite

@article{arxiv.2207.13015,
  title  = {Potentially semi-stable deformation rings for representations with values in $PGL_n$},
  author = {Agnès David and Sandra Rozensztajn},
  journal= {arXiv preprint arXiv:2207.13015},
  year   = {2022}
}

Comments

minor update ; 28 pages

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

Abstract

Keywords

Cite

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