@prefix vivo: . @prefix edm: . @prefix dcterms: . @prefix dc: . @prefix skos: . @prefix ns0: . vivo:departmentOrSchool "Non UBC"@en ; edm:dataProvider "DSpace"@en ; dcterms:creator "Antieau, Benjamin"@en ; dcterms:issued "2019-03-25T11:39:33Z"@en, "2018-05-10T10:01"@en ; dcterms:description "I will report on joint work with Thomas Nikolaus. We construct a t-structure on the stable infinity-category of cyclotomic spectra and show that the homotopy objects with respect to this t-structure on naturally Dieudonné modules, i.e., abelian groups equipped with operations $V$ and $F$ such that $FV=p$. For smooth schemes over perfect fields of characteristic $p>0$, these cyclotomic homotopy objects are the terms in the de Rhamâ Witt complex. As an application, I will explain how certain formal moduli problems associated to Calabi-Yau varieties admit cyclotomic interpretations, which can be used to strengthen past results about the behavior of these invariants under Fourierâ Mukai equivalence."@en ; edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/69192?expand=metadata"@en ; dcterms:extent "61.0"@en ; dc:format "video/mp4"@en ; skos:note ""@en, "Author affiliation: University of Illinois at Chicago"@en ; edm:isShownAt "10.14288/1.0377434"@en ; dcterms:language "eng"@en ; ns0:peerReviewStatus "Unreviewed"@en ; edm:provider "Vancouver : University of British Columbia Library"@en ; dcterms:publisher "Banff International Research Station for Mathematical Innovation and Discovery"@en ; dcterms:rights "Attribution-NonCommercial-NoDerivatives 4.0 International"@en ; ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en ; ns0:scholarLevel "Faculty"@en ; dcterms:isPartOf "BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))"@en ; dcterms:subject "Mathematics"@en, "Algebraic topology"@en, "Category theory; homological algebra"@en ; dcterms:title "Dieudonné modules and cyclotomic spectra"@en ; dcterms:type "Moving Image"@en ; ns0:identifierURI "http://hdl.handle.net/2429/69192"@en .