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X-FROM-URL:https://eom.sdu.dk/events/ical/ad48d255-9eb4-4859-bcec-402f4234
 3c50
X-WR-CALNAME:QM Research Seminar: Introduction to the Witten-Reshetikhin-T
 uraev TQFT
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DTSTAMP:20260414T021919Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: William Elbæk Mistegård[/b] (University of Souther
 n Denmark) [nl]\n[b]Abstract:[/b][nl]\nIt was envisioned by Witten that q
 uantum Chern-Simons field theory is a 2+1 dimensional topological quantum
  field theory (TQFT) in the sense of Atiyah. Further\, Witten argued that
  the link invariant known as the Jones polynomial\, can be computed in th
 is TQFT as the expectation value of Wilson loop operators. This gave an i
 ntrinsic definition of the Jones polynomial\, as opposed to the known com
 binatorial definition\, and thus solved an important problem in topology.
  Subsequently\, a full TQFT was constructed mathematically rigorously by 
 Reshetikhin and Turaev\, using surgery presentations of three-manifolds a
 nd modular tensor categories. This is now known as the Witten-Reshetikhin
 -Turaev TQFT. To a closed oriented three-manifold M\, the WRT-TQFT associ
 ates a topological invariant in the form of a complex number. This is cal
 led the quantum invariant of M. These invariants are essentially the buil
 ding blocks of the WRT-TQFT. The goals of this introductory talk are to i
 ntroduce the quantum invariants and to present the axioms of TQFT (or mor
 e precisely\, the axioms of a modular functor).[nl]
DTEND:20230327T140000Z
DTSTAMP:20260414T021919Z
DTSTART:20230327T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Introduction to the Witten-Reshetikhin-Turaev
  TQFT
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