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SUMMARY:Ben Gui (Tsinghua University\, China)
DTSTART:20260126T080000Z
DTEND:20260126T090000Z
DTSTAMP:20260422T182333Z
UID:QGS/138
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/138/">Co
 mparison of extensions of unitary VOAs and conformal nets</a>\nby Ben Gui 
 (Tsinghua University\, China) as part of Quantum Groups Seminar [QGS]\n\n\
 nAbstract\nIn 2015\, Carpi-Kawahigashi-Longo-Weiner (CKLW) initiated a sys
 tematic study of the relationship between unitary vertex operator algebras
  (UVOAs) and conformal nets (CNs). Building on their framework and Wasserm
 ann’s computation of the Connes fusion of modules of loop group SU(N) at
  positive integer levels\, I showed in 2018 and 2020 that many rational UV
 OAs (including all WZW models) and their corresponding CNs have unitarily 
 equivalent representation categories.\n\nIn this talk\, I will show that w
 hen one considers extensions of UVOAs and CNs\, the abstract equivalence o
 f representation categories arising from the theory of Frobenius algebras 
 and Q-systems is compatible with the unitary equivalences (in the line of 
 CKLW and Wassermann) mentioned above.\n
LOCATION:https://researchseminars.org/talk/QGS/138/
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