Reference : Images of Galois representations with values in mod p Hecke algebras
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Images of Galois representations with values in mod p Hecke algebras
Amoros Carafi, Laia mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Seminari de Teoria de Nombres de Barcelons
from 23-01-2017 to 27-01-2017
[en] Galois representations ; Hecke algebras ; modular forms
[en] I will explain how one can construct Galois representations that take values in local mod $p$ Hecke $\mathbb{F}_q$-algebras. I will then show how one can compute explicitly the image of such a Galois representation assuming that the corresponding residual representation has big image. Finally I will show some computations of these images in concrete examples.

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