@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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    dct:description """
              Linear categories naturally have several identification relations : isomorphisms, categorical equivalences and Morita equivalences. In this thesis, we construct the classifying stacks for these three relations ($\\ukcatiso$, $\\ukcateq$, $\\ukcatmor$) together with the classifying stack of abelian categories ($\\ukab$), the originality of the subject being that, apart from the first one, these are higher stacks.<br /><br />The principal result is that, under some finiteness assumptions, these stacks are geometric in the sense of C.~Simpson. In particular, one recover the Hochschild cohomology of a category $C$ as the tangent complex, i.e. the object classifying first order deformations of $C$, of these stacks at the point defined by $C$.<br /><br />Moreover, there exists a natural sequence of surjective morphisms of stacks :<br />$$\\ukcatiso \\tto \\ukcateq \\tto \\ukcatmor \\tto \\ukab$$<br />for which we prove that the middle one is etale, and the right one is an equivalence.
            """ ;
    dct:identifier "tel-00085627" ;
    dct:issued "2026-05-09T22:54:48.358174"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-09T22:54:48.358179"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Moduli stacks of linear and abelian categories" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00085627v1/resource/d856f11b-03db-4594-ac0d-4d0b260a3e42> ;
    dcat:keyword "abelian-categories",
        "categories-abeliennes",
        "champs-superieurs",
        "cohomologie-de-hochschild",
        "complexe-tangent",
        "higher-stacks",
        "hochschild-cohomology",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmathematics-math",
        "tangent-complex",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00085627> .

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    dct:format "HTML" ;
    dct:issued "2026-05-09T22:54:48.362496"^^xsd:dateTime ;
    dct:modified "2026-05-09T22:54:48.346892"^^xsd:dateTime ;
    dct:title "Moduli stacks of linear and abelian categories" ;
    dcat:accessURL <https://theses.hal.science/tel-00085627> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00085627> a foaf:Document .