Fundamental Groupoid Scheme
This article is an overview of the original construction by Nori of the fundamental group scheme as the Galois group of some Tannaka category EF(X) (the category of essentially finite vector bundles) with a special stress on the correspondence between fiber functors and torsors. Basic definitions and duality theorem in Tannaka categories are stated. A paragraph is devoted to the characteristic 0 case and to a reformulation of Grothendieck΄s section conjecture in terms of fiber functors onEF(X)..
KeywordsFundamental group groupoid fundamental group scheme Tannaka duality gerbes torsors
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