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SUMMARY:Alexis Virelizier (Université de Lille)
DTSTART:20200911T160000Z
DTEND:20200911T170000Z
DTSTAMP:20260423T021413Z
UID:TQFT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/8/">Hom
 otopy Quantum Field Theories</a>\nby Alexis Virelizier (Université de Lil
 le) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\n\nA
 bstract\nHomotopy quantum field theories (HQFTs) generalize topological qu
 antum field theories (TQFTs) by replacing manifolds by maps from manifolds
  to a fixed target space $X$. For example\, any cohomology class in $H^3(X
 )$ defines a 3-dimensional HQFT with target $X$. If $X$ is aspherical\, th
 at is $X = K(G\, 1)$ for some group $G$\, then this cohomological HQFT is 
 related to the Dijkgraaf-Witten invariant and is computed as a Turaev-Viro
  state sum via the category of $G$-graded vector spaces. More generally\, 
 the state sum Turaev-Viro TQFT and the surgery Reshetikhin-Turaev TQFT ext
 end to HQFTs (using graded fusion categories) which are related via the gr
 aded categorical center. <br> This is joint work with V. Turaev.\n
LOCATION:https://researchseminars.org/talk/TQFT/8/
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