The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck. (English) Zbl 1508.00025
Friedman, Michael (ed.) et al., Model and mathematics: from the 19th to the 21st century. Cham: Birkhäuser. Trends Hist. Sci., 267-275 (2022).
Summary: We present two basic directions that Grothendieck explores in the transit between archetypes (universal categorical constructions) and types (concrete models): (1) projecting archetypes to types in the 1950s (around the Tôhoku and Riemann-Roch), (2) embedding types into archetypes in the 1980s (around Pursuing Stacks and Dérivateurs). We also discuss (3) his general remarks about “models” in Récoltes et semailles.
For the entire collection see [Zbl 1495.00074].
For the entire collection see [Zbl 1495.00074].
MSC:
| 00A71 | General theory of mathematical modeling |
Biographic References:
Grothendieck, AlexanderReferences:
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