Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space
Grothendieck Topoi: Architectural and Plastic Imagination beyond Material Number and Space
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
Edinburgh Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
Please, subscribe or login to access full text content.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs, and if you can't find the answer there, please contact us.