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arXiv · 1806.09925

Construction de représentations galoisiennes de torsion, d'après Peter Scholze

Sophie Morel
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Abstract

Le but de cet exposé est de présenter les résultats de Scholze sur la construction des représentations galoisiennes de torsion associées aux caractères de l'algèbre de Hecke apparaissant dans la cohomologie de torsion des espaces localement symétriques associés au groupe $\mathrm{GL}_n$. La phrase précédente est expliquée plus en détail dans la section 1. Toutes les erreurs et inexactitudes dans ce texte sont bien entendu dues à l'auteur et non à Scholze. -- The goal of this lecture is to present Scholze's results about the construction of torsion Galois representations associated to the characters of the Hecke algebra appearing in the cohomology of a locally symmetric variety for the group $\mathrm{GL}_n$.

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Sophie Morel. 2018-06-26. Construction de représentations galoisiennes de torsion, d'après Peter Scholze. https://arxiv.org/abs/1806.09925

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