PAPER #55 Published: 2026-01-14 • Open Access Preprint

Newly discovered Potentials for Topos Theory from Grothendieck's Handwritten Notes: Functorial Correspondences and Topos Duality: A Reconstruction from Pages (Cote 115)

Peter De Ceuster
SIG Labs
Abstract
This paper reconstructs and formalizes concepts from Alexander Grothendieck’s handwritten notes on functorial correspondences and topos duality. It translates his sketches into modern bicategorical diagrams and ∞-categorical language, bridging logic and geometry.
Keywords & Fields
mathematicstopos theorygrothendieck
Cite this work (BibTeX)
@article{deceuster2026_55-newly-discovered-,
  title = {Newly discovered Potentials for Topos Theory from Grothendieck's Handwritten Notes: Functorial Correspondences and Topos Duality: A Reconstruction from Pages (Cote 115)},
  author = {De Ceuster, Peter},
  year = {2026},
  month = {01},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17065481},
  url = {https://peterdeceuster.uk/papers/55-newly-discovered-potentials-for-topos-theory-from-grothendiecks},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/toposgd (2).pdf}
}