Fundamental Groupoid Scheme

  • Michel Emsalem
Conference paper
Part of the Progress in Mathematics book series (PM, volume 304)


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)..


Fundamental group groupoid fundamental group scheme Tannaka duality gerbes torsors 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Michel Emsalem
    • 1
  1. 1.Laboratoire Paul Painlevé UFR de MathématiquesU.M.R. CNRS 8524Villeneuve d’Ascq CédexFrance

Personalised recommendations