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SUMMARY:Cris Negron (University of Southern California)
DTSTART:20250716T160000Z
DTEND:20250716T170000Z
DTSTAMP:20260423T021334Z
UID:TQFT/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/139/">$
 (3-\\epsilon)$-dimensional TQFTs from derived quantum group representation
 s</a>\nby Cris Negron (University of Southern California) as part of Topol
 ogical Quantum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nI will disc
 uss joint work with Agustina Czenky. We introduce a $(3-\\epsilon)$-dimens
 ional TQFTs which is generated\, in some sense\, by the derived category o
 f quantum group representations. This TQFT is valued in the $\\infty$-cate
 gory of dg vector spaces\, and the value on a genus $g$ surface is a $g$-t
 h iterate of the Hochschild cohomology for the aforementioned category. I 
 will explain how this TQFT arises as a derived variant of the usual Reshet
 ikhin–Turaev theory and\, if time allows\, I will discuss the possibilit
 y of introducing local systems into the theory. Our interest in local syst
 ems comes from proposed relationships with 4-dimensional non-topological Q
 FT.\n
LOCATION:https://researchseminars.org/talk/TQFT/139/
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