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

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Handbook of the History and Philosophy of Mathematical Practice

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.

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Authors and Affiliations

  1. Universidad Nacional de Colombia, Bogotá, Colombia

    Fernando Zalamea

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  1. Fernando Zalamea
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Correspondence to Fernando Zalamea .

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Editors and Affiliations

  1. Department of Mathematical Sciences, The University of Montana, Missoula, MT, USA

    Bharath Sriraman

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  1. Department of Mathematical Sciences, The University of Montana, Missoula, MT, USA

    Bharath Sriraman

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Zalamea, F. (2020). Grothendieck: A Short Guide to His Mathematical and Philosophical Work (1949–1991). In: Sriraman, B. (eds) Handbook of the History and Philosophy of Mathematical Practice. Springer, Cham. https://doi.org/10.1007/978-3-030-19071-2_27-1

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  • DOI: https://doi.org/10.1007/978-3-030-19071-2_27-1

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  • Print ISBN: 978-3-030-19071-2

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