Grothendieck: A Short Guide to His Mathematical and Philosophical Work (1949–1991)

Fernando Zalamea ()
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Fernando Zalamea: Universidad Nacional de Colombia

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 1257-1296 from Springer

Abstract: Abstract We present a short survey of Grothendieck’s “known” work (1949–1991), before his seclusion in the Pyrenees (1991–2014). Three main periods are distinguishable: (1) 1949–1957, with his work in functional analysis, homological algebra, categories, sheaves, and K-theory; (2) 1958–1970, with the foundations of algebraic geometry, schemes, toposes, and motives; and (3) 1981–1991, with topological algebra, anabelian geometry, stacks, derivators, on the one hand, and long philosophical reflections, on the other hand.

Keywords: Grothendieck; Functional analysis; Category theory; Algebraic geometry; Topological algebra (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-40846-5_27

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DOI: 10.1007/978-3-031-40846-5_27

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