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SUMMARY:Aryan Ghobadi (Queen Mary University of London\, UK)
DTSTART:20210607T140000Z
DTEND:20210607T150000Z
DTSTAMP:20260422T180655Z
UID:QGS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/31/">Hop
 f algebras in SupLat and set-theoretical YBE solutions</a>\nby Aryan Ghoba
 di (Queen Mary University of London\, UK) as part of Quantum Groups Semina
 r [QGS]\n\n\nAbstract\nSkew braces have recently attracted attention as a 
 method to study set-theoretical solutions of the Yang-Baxter equation. In 
 this talk\, we will present a new approach for studying these solutions\, 
 by looking at Hopf algebras in the category of complete lattices and join-
 preserving morphisms\, denoted by SupLat. Any Hopf algebra\, H in SupLat\,
  has a corresponding group\, R(H)\, which we call its remnant and a co-qua
 sitriangular structure on H induces a brading operator on R(H)\, which ind
 uces a skew brace structure on R(H). From this correspondence\, we will re
 cover several aspects of the theory of skew braces. In particular\, we wil
 l construct the universal skew brace of a set-theoretical YBE solution\, a
 s the remnant of an FRT-type reconstruction in SupLat.\n
LOCATION:https://researchseminars.org/talk/QGS/31/
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