@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              We develop homotopical algebraic geometry (see math.AG/0207028) in the special context where the base symmetric monoidal model category is the category S of spectra, i.e. what might be called, after Waldhausen, ''brave new algebraic geometry''. We discuss various model topologies on the model category of commutative algebras in S, the associated theories of geometric S-stacks (a geometric S-stack being an analog of Artin notion of algebraic stack in Algebraic Geometry), and finally show how to define global moduli spaces of associative ring spectra structures and a moduli space related to topological modular forms as geometric S-stacks. Two examples of geometric S-stacks are given: a global moduli space of associative ring spectrum structures, and the stack of elliptic curves endowed with the sheaf of topological modular forms.
            """ ;
    dct:identifier "ISBN: 9780521700405" ;
    dct:issued "2026-05-15T09:47:20.770644"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-15T09:47:20.770649"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Brave new algebraic geometry and global derived moduli spaces of ring spectra." ;
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    dcat:keyword "book-sections",
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    dcat:landingPage <Geometry%2C%20Applications%2C%20and%20Higher%20Chromatic%20Analogues> .

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    dct:issued "2026-05-15T09:47:20.775282"^^xsd:dateTime ;
    dct:modified "2026-05-15T09:47:20.761929"^^xsd:dateTime ;
    dct:title "Brave new algebraic geometry and global derived moduli spaces of ring spectra." ;
    dcat:accessURL <https://hal.science/hal-00772967> .

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