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SUMMARY:Pablo Ocal (OIST)
DTSTART:20241203T060000Z
DTEND:20241203T070000Z
DTSTAMP:20260423T021258Z
UID:OISTRTS/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/64/"
 >Deformations of Frobenius algebras and noncommutative 2d topological quan
 tum field theories</a>\nby Pablo Ocal (OIST) as part of OIST representatio
 n theory seminar\n\n\nAbstract\nIn this talk I will present an attempt to 
 define noncommutative 2d topological quantum field theories using deformat
 ions of Frobenius algebras. First\, we will overview the importance and us
 es of 2d topological quantum field theories\, as well as their equivalence
  to commutative Frobenius algebras. Then\, we will consider the deformatio
 ns given by cotwisted tensor products\, characterize when these are Froben
 ius algebras\, and explain their deficiencies for our goal. Afterwards\, I
  will introduce the notion of warped tensor products of Frobenius algebras
  and characterize when these are Frobenius algebras. This notion enables u
 s to construct a family of bifunctors that could potentially yield nonsymm
 etric monoidal structures on the category of Frobenius algebras\, which wo
 uld then deserve to be called noncommutative 2d topological quantum field 
 theories. This is work in progress with Rohan Das and Julia Plavnik.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/64/
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