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SUMMARY:Melody Molander (The Ohio State University)
DTSTART:20251119T100000Z
DTEND:20251119T110000Z
DTSTAMP:20260423T035712Z
UID:EQuAL/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/47/">S
 kein Theory of Affine ADE Subfactor Planar Algebras</a>\nby Melody Molande
 r (The Ohio State University) as part of European Quantum Algebra Lectures
  (EQuAL)\n\n\nAbstract\nThe Kuperberg Program seeks to describe presentati
 ons of subfactor planar algebras in order to classify them and prove resul
 ts about their corresponding categories purely diagrammatically. This prog
 ram has been completed for index less than 4 and remains an area of ongoin
 g research for index greater than 4. This talk will discuss the program at
  index 4. At this index\, planar algebras other than Temperley-Lieb have a
 n affine $A$\, $D$\, or $E$ principal graph. Categories corresponding to s
 ome of the affine A planar algebras are monoidally equivalent to cyclic po
 inted fusion categories. For affine $E_7$\, to prove sufficiency of its pr
 esentation\, we define a jellyfish algorithm. I will describe the jellyfis
 h algorithm using a half braiding and discuss that it gives a well-defined
  surjective function onto $C$.\n
LOCATION:https://researchseminars.org/talk/EQuAL/47/
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