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SUMMARY:Azat Gainutdinov (Université de Tours\, CNRS)
DTSTART:20231130T100000Z
DTEND:20231130T110000Z
DTSTAMP:20260423T021156Z
UID:EQuAL/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/18/">N
 on-semisimple link and manifold invariants for symplectic fermions</a>\nby
  Azat Gainutdinov (Université de Tours\, CNRS) as part of European Quantu
 m Algebra Lectures (EQuAL)\n\n\nAbstract\nI will talk about link and three
 -manifold invariants defined in terms of a non-semisimple finite ribbon ca
 tegory C together with a choice of tensor ideal and modified trace. If the
  ideal is all of C\, these invariants agree with those defined by Lyubashe
 nko in the 90’s\, and as we show\, they only depend on the Grothendieck 
 class of the objects labelling the link. These invariants are therefore no
 t able to determine non-split extensions. However\, we observed an interes
 ting phenomenon: if one chooses an intermediate proper ideal between C and
  the minimal ideal of projective objects\, the invariants do distinguish n
 on-trivial extensions. This is demonstrated in the case of C being the rib
 bon category of N pairs of symplectic fermions. This is a joint work with 
 J. Berger and I. Runkel.\n
LOCATION:https://researchseminars.org/talk/EQuAL/18/
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