"Non UBC"@en . "DSpace"@en . "Levin, Michael"@en . "2019-12-01T09:33:56Z"@en . "2019-06-03T11:30"@en . "Every (2+1) dimensional quantum many-body system with an energy gap is believed to be described by a topological quantum field theory (TQFT) in the low energy limit. What this means concretely is that every many-body system of this kind is associated with a collection of universal topological data. Some of this data, however, is missing a precise definition that would allow for its computation from a microscopic Hamiltonian. In this talk, I will address this issue by giving a microscopic definition of the \u00C3\u00A2F-symbol\u00C3\u00A2 --- one of the most poorly understood pieces of data that characterize TQFTs. I will also discuss applications of this definition to the computation of anomalies at the boundaries of (2+1) dimensional symmetry-protected topological phases."@en . "https://circle.library.ubc.ca/rest/handle/2429/72472?expand=metadata"@en . "61.0 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Chicago"@en . "10.14288/1.0386658"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Researcher"@en . "BIRS Workshop Lecture Videos (Oaxaca de Ju\u00E1rez (Mexico))"@en . "Mathematics"@en . "Quantum theory"@en . "Mathematical physics"@en . "Bridging the gap between lattice models and TQFTs"@en . "Moving Image"@en . "http://hdl.handle.net/2429/72472"@en .