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SUMMARY:Charles Senécal (University of Cambridge)
DTSTART:20261020T130000Z
DTEND:20261020T140000Z
DTSTAMP:20261026T125256Z
UID:UEAPS/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/84/">C
 lasps in sl_3 webs at roots of unity</a>\nby Charles Senécal (University 
 of Cambridge) as part of ANTLR seminar\n\n\nAbstract\nThe $sl_3$ web categ
 ory is a combinatorial model for the representation theory of the quantum 
 group $U_q(sl_3)$. We study the category from the cellular point of view\,
  exploiting diagrammatic methods and light-ladder bases to compute branchi
 ng rules\, homomorphisms\, and composition factors of cell modules when q 
 is a root of unity.\n\n\n\nWe then apply these results to the study of cla
 sps. In the semisimple case\, these higher rank analogues of the Jones—W
 enzl idempotents can be constructed using Elias’s recursive triple-clasp
  expansion. When q is a root of unity\, however\, their construction is co
 nsiderably more subtle and we use the aforementioned results from cellular
 ity to obtain formulas for some of the non-semisimple clasps.\n
LOCATION:https://researchseminars.org/talk/UEAPS/84/
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