@prefix vivo: . @prefix edm: . @prefix dcterms: . @prefix dc: . @prefix skos: . @prefix ns0: . vivo:departmentOrSchool "Non UBC"@en ; edm:dataProvider "DSpace"@en ; dcterms:creator "Brantner, Lukas"@en ; dcterms:issued "2017-01-26T02:19:29"@en, "2016-05-26T16:30"@en ; dcterms:description "We use discrete Morse theory to prove a complementation formula (originally discovered by Björner-Walker) and demonstrate its applicability by computing various equivariant posets of interest in a uniform manner: fixed point spaces of the partition complex, parabolic restrictions of BT buildings in characteristic \\(p\\), and Young restrictions of the partition complex (thereby giving a short and purely combinatorial proof of a recent theorem of Arone). In joint work with Arone, we link these computations to `AQ for commutative monoid spaces' and provide space-level models for results of Goerss for AQ."@en ; edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/59809?expand=metadata"@en ; dcterms:extent "46 minutes"@en ; dc:format "video/mp4"@en ; skos:note ""@en, "Author affiliation: Harvard University"@en ; edm:isShownAt "10.14288/1.0339952"@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 "Graduate"@en ; dcterms:isPartOf "BIRS Workshop Lecture Videos (Banff, Alta)"@en ; dcterms:subject "Mathematics"@en, "Algebraic topology"@en, "Category theory; homological algebra"@en ; dcterms:title "Discrete Morse Theory and André–Quillen Homology"@en ; dcterms:type "Moving Image"@en ; ns0:identifierURI "http://hdl.handle.net/2429/59809"@en .