Harman Patil (Editor)

Pursuing Stacks

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit

Pursuing Stacks (French: À la Poursuite des Champs) is an influential 1983 mathematical manuscript by Alexander Grothendieck. The word "stack" refers to a possible generalization of scheme, a central object of study in algebraic geometry.

Among the concepts introduced in the manuscript are derivators and test categories.

Some parts of the manuscript were later developed by:

  • Maltsiniotis's La Théorie de l'homotopie de Grothendieck (Grothendieck's Homotopy Theory): http://www.math.jussieu.fr/~maltsin/ps/prstnew.pdf
  • Cisinski's (augmented version of his) thesis Les Préfaisceaux comme modèles des types d'homotopie (Presheaves as Models for Homotopy Types): http://www.math.univ-toulouse.fr/~dcisinsk/ast.pdf

    • References

    Pursuing Stacks Wikipedia
    (Text) CC BY-SA