nLab SGA1

The initials ‘SGA I’ (or in more modern times ‘SGA1’) refer to the SGA seminar notes from Grothendieck‘s seminar (1960-61) at IHÉS, Bures-sur-Yvette (see at SGA for more).

• A. Grothendieck, Michèle Raynaud, Revêtements étales et groupe fondamental (SGA I), Lecture Notes in Mathematics 224, Springer 1971 doi:10.1007/BFb0058656, retyped as math.AG/0206203; published version Documents Mathématiques 3, Société Mathématique de France, Paris 2003)

These notes contain discussion/introduction of:

• Grothendieck fibrations, Grothendieck construction

• Grothendieck's Galois theory

• étale fundamental group

• Grothendieck's section conjecture

• descent theory (chapter SGA I.6)

category: reference