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X-FROM-URL:https://eom.sdu.dk/events/ical/3a5975b7-1d6b-4f97-9335-067fdb29
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X-WR-CALNAME:QM Research Seminar: x-Crossed ribbon categories
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260416T082118Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Bangxin Wang [/b](​University of Hamburg)\n\n[b]Ab
 stract: [/b]\n​We introduce the notion of .-crossed ribbon categories\, m
 otivated by constructions in TQFT. There are two well-known non-semisimpl
 e 3d TQFTs: BCGP and DGGPR. The BCGP theory assigns invariants to triples
  (M\, T\, w)\, where M is a 3-manifold\, T c M is an embedded ribbon grap
 h\, and w e H1(M\T\;G). The DGGPR construction produces invariants for pa
 irs (M\, T). A natural question is whether one can enrich the DGGPR const
 ruction by including cohomological data. This leads to the theory of homo
 topy QFT whose algebraic inputs are G-crossed ribbon categories\, expecte
 d to recover the BCGP theory. This is an ongoing project with A. Gainutdi
 nov\, N. Geer\, B. Patureau\, and I. Runkel. We generalize the notion of 
 a G-crossed ribbon category by allowing the grading group G and the actio
 n group H to be distinct. To make sense of a crossed braiding\, it turns 
 out that the pair (G\,H) should form a crossed module x. We present two c
 onstructions of such categories and prove several classification results.
  This part is joint work with A. Gainutdinov and I. Runkel.
DTEND:20260224T150000Z
DTSTAMP:20260416T082118Z
DTSTART:20260224T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: x-Crossed ribbon categories
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