These notes are taken from a series of lectures given at the conference “Fundamental Groups in Arithmetic Geometry 2016” in Paris. They cover the basics of the theory of Tannakian categories and provide an introduction to more recent developments and their applications to motivic Galois groups.
Ces notes sont tirées d’une série de cours donnés à la conférence « Fundamental Groups in Arithmetic Geometry » à Paris en 2016. Elles couvrent les bases de la théorie des catégories tannakiennes et fournissent une introduction aux développements récents et leurs applications aux groupes de Galois motiviques.
Published online:
Mots-clés : Tannaka duality, coalgebras, quiver representations, affine group schemes, motives
Florian Ivorra 1

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%0 Journal Article %A Florian Ivorra %T Some topics in the theory of Tannakian categories and applications to motives and motivic Galois groups %J Publications mathématiques de Besançon. Algèbre et théorie des nombres %D 2021 %P 45-97 %I Presses universitaires de Franche-Comté %U https://pmb.centre-mersenne.org/articles/10.5802/pmb.43/ %R 10.5802/pmb.43 %G en %F PMB_2021____45_0
Florian Ivorra. Some topics in the theory of Tannakian categories and applications to motives and motivic Galois groups. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2021), pp. 45-97. doi : 10.5802/pmb.43. https://pmb.centre-mersenne.org/articles/10.5802/pmb.43/
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