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Architectural MaterialismsNonhuman Creativity$
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Maria Voyatzaki

Print publication date: 2018

Print ISBN-13: 9781474420570

Published to Edinburgh Scholarship Online: May 2020

DOI: 10.3366/edinburgh/9781474420570.001.0001

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PRINTED FROM EDINBURGH SCHOLARSHIP ONLINE (www.edinburgh.universitypressscholarship.com). (c) Copyright Edinburgh University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in ESO for personal use.date: 09 August 2020

Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space

Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space

Chapter:
(p.251) Chapter 11 Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space
Source:
Architectural Materialisms
Author(s):

Fernando Zalamea

Publisher:
Edinburgh University Press
DOI:10.3366/edinburgh/9781474420570.003.0012

Fernando Zalamea begins with an emphatic argument that from mathematics to its plastic influence, Grothendieck topoi are used to understand the human and the nonhuman creativity in three variously relevant and yet different disciplines; that of cinema through the work of Andrei Tarkovsky, architecture through the work of Frank Gehry and art through the work of Anselm Hiefer. The chapter starts by introducing the work of Alexandre Grothendieck from a conceptual standpoint, focusing on his topos theory (1962), a general setting which encompasses both arithmetic (number) and geometry (space) under a common abstract perspective (sheaves: a far-reaching tool which helps to glue the local and the global). Grothendieck's revolution, wider than Einstein's interlacing of space and time, has radically changed mathematics, but its plastic influence beyond the specialty has yet to be developed.

Keywords:   Mathematics, Grothendieck topoi, Nonhuman creativity, Andrei Tarkovsky, Cinema, Frank Gehry, Architecture, Anselm Hiefer, Art, Plastic influence

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