Some topics in the theory of Tannakian categories and applications to motives and motivic Galois groups

Ivorra, Florian

Publications mathématiques de Besançon. Algèbre et théorie des nombres (2021), pp. 45-97.

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.

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.

Classification : 16T05, 16T15, 18D10, 18E10, 16G20, 14L15, 20G05
Mots clés : Tannaka duality, coalgebras, quiver representations, affine group schemes, motives

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