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SUMMARY:Theodoros Lagiotis (University of Edinburgh)
DTSTART:20241218T100000Z
DTEND:20241218T110000Z
DTSTAMP:20260423T005828Z
UID:TQFT/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/133/">N
 oncompact 3d TQFTs from non-semisimple modular categories</a>\nby Theodoro
 s Lagiotis (University of Edinburgh) as part of Topological Quantum Field 
 Theory Club (IST\, Lisbon)\n\n\nAbstract\nPerhaps the most (mathematically
 ) well understood 3d TQFT is that of Reshetikhin–Turaev. Famously\, the 
 input data for their construction is that of a semisimple modular tensor c
 ategory (MTC). Attempts at generalizing this construction to the non-semis
 imple case date back to the 90's with work of Hennings\, Lyubashenko and K
 erler–Lyubashenko. However\, only partial results were achieved. This wa
 s until De Renzi et al. defined a 3d TQFT from such non-semisimple modular
  categories. Importantly\, they had to impose an admissibility condition o
 n the cobordism categories they use. My work has been in the direction of 
 defining a once-extended 3d TQFT from this data. However\, Bartlett et al.
  proved that such TQFTs are classified by semisimple modular categories. W
 e will investigate the most natural method of circumventing this. This wil
 l lead to the notion of noncompact TQFT. I will then proceed to talk about
  my work on constructing such a TQFT from the data of a (potentially) non-
 semisimple MTC\, with an emphasis on the key ingredients of this construct
 ion. Time permitting\, I will also discuss how to extract 3-manifold invar
 iants and a modified trace from such a noncompact TQFT.\n
LOCATION:https://researchseminars.org/talk/TQFT/133/
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