Esquisse D'un Programme - Abstract of Grothendieck's Programme

Abstract of Grothendieck's Programme

("Sommaire")

  • 1. The Proposal and enterpise ("Envoi").
  • 2. "Teichmüller's Lego-game and the Galois group of Q over Q" ("Un jeu de “Lego-Teichmüller” et le groupe de Galois de Q sur Q").
  • 3. Number fields associated with dessins d'enfant". ("Corps de nombres associés à un dessin d’enfant").
  • 4. Regular polyhedra over finite fields ("Polyèdres réguliers sur les corps finis").
  • 5. General topology or a 'Moderated Topology' ("Haro sur la topologie dite 'générale', et réflexions heuristiques vers une topologie dite 'modérée").
  • 6. Differentiable theories and moderated theories ("Théories différentiables" (à la Nash) et “théories modérées").
  • 7. Pursuing Stacks ("À la Poursuite des Champs"}.
  • 8. Two-dimensional geometry ("Digressions de géométrie bidimensionnelle".
  • 9. Summary of proposed studies ("Bilan d’une activité enseignante").
  • 10. Epilogue.
  • Notes

Suggested further reading for the interested mathematical reader is provided in the References section.

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