• Corpus ID: 221517018

Gelfand-Kirillov dimension and mod p cohomology for GL2

@article{Breuil2020GelfandKirillovDA,
  title={Gelfand-Kirillov dimension and mod p cohomology for GL2},
  author={Christophe Breuil and F. Herzig and Yong Hu and Stefano Morra and Benjamin Schraen},
  journal={arXiv: Number Theory},
  year={2020}
}
Let $p$ be a prime number, $F$ a totally real number field unramified at places above $p$ and $D$ a quaternion algebra of center $F$ split at places above $p$ and at no more than one infinite place. Let $v$ be a fixed place of $F$ above $p$ and $\overline{r} : {\rm Gal}(\overline F/F)\rightarrow \mathrm{GL}_2(\overline{\mathbb{F}}_p)$ an irreducible modular continuous Galois representation which, at the place $v$, is semisimple and sufficiently generic (and satisfies some weak genericity… 

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