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X-FROM-URL:https://eom.sdu.dk/events/ical/dbb6ce4e-bb8d-4fab-90cf-a532a84f
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X-WR-CALNAME:QM Research Seminar: Defects in skein theory and TQFT
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TZID:Europe/Copenhagen
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DTSTAMP:20260602T110604Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: [/b]​Patrick Kinnear[b] [/b](University of Hamburg
 ).\n\n[b]Abstract: [/b]\nIn the study of topological symmetry\, defects a
 re embedded submanifolds labelled by algebraic data\; the evaluation of d
 efect TQFTs (i.e. TQFTs which make sense for bordisms supporting defects)
  implements topological symmetry. The (2+1) TQFT of Reshetikhin and Turae
 v was enhanced to a defect TQFT in work of Carqueville--Runkel--Schaumann
 . This enhancement is a generalized state sum construction\, and requires
  that the defects are labelled by semisimple data\; the state spaces for 
 surfaces are given by a projector from the state space of the original RT
  theory. On the other hand\, given a 3-manifold whose boundary is a surfa
 ce with defects\, the usual definitions of skein theory can be extended t
 o define a defect skein module. In this talk I will report on joint work 
 with Ingo Runkel\, where we define the defect skein module and prove that
  it is isomorphic to the defect RT state space of its boundary. This gene
 ralizes the well-known fact that the state spaces of RT theory are skein 
 modules. Our work points to non-semisimple generalizations of defect RT t
 heories using skein methods\, while in the other direction it gives a sta
 te sum construction for defect skein modules labelled by semisimple data.
DTEND:20260609T140000Z
DTSTAMP:20260602T110604Z
DTSTART:20260609T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Defects in skein theory and TQFT
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