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SUMMARY:Pavel Safronov (University of Edinburgh)
DTSTART:20220921T160000Z
DTEND:20220921T170000Z
DTSTAMP:20260423T021401Z
UID:TQFT/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/68/">Sk
 ein modules and 4d TQFTs</a>\nby Pavel Safronov (University of Edinburgh) 
 as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\nLecture
  held in Room 3.10 (3rd floor\, Mathematics Department\, Instituto Superio
 r Técnico).\n\nAbstract\nIt is well-known that the quantum Chern–Simons
  theory (as formalized by Reshetikhin and Turaev) has a framing anomaly: t
 o have a functorial dependence on cobordisms\, they have to be equipped wi
 th an extra tangential structure besides the orientation. Following Walker
  and Freed–Teleman\, one can view the anomaly of the Chern–Simons theo
 ry as an invertible 4d TQFT\, the Crane–Yetter theory. While the Chern
 –Simons theory makes sense only when q\, the quantum parameter\, is a ro
 ot of unity\, the anomaly theory make sense for any q. I will describe the
  behavior of this 4d TQFT for generic q and\, in particular\, a descriptio
 n of its spaces of states on closed 3-manifolds. This is based on joint wo
 rk with Sam Gunningham and David Jordan.\n
LOCATION:https://researchseminars.org/talk/TQFT/68/
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