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SUMMARY:Anna Zamojska-Dzienio (Warsaw University of Technology\, Poland)
DTSTART:20211012T190000Z
DTEND:20211012T200000Z
DTSTAMP:20260423T004512Z
UID:PALS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/21/">Bi
 racks and solutions of the Yang-Baxter equation</a>\nby Anna Zamojska-Dzie
 nio (Warsaw University of Technology\, Poland) as part of PALS Panglobal A
 lgebra and Logic Seminar\n\n\nAbstract\nThe Yang-Baxter equation is a fund
 amental equation occurring in integrable models in statistical mechanics a
 nd quantum field theory. Description of all possible solutions seems to be
  extremely difficult and therefore there were some simplifications introdu
 ced (V.G. Drinfeld 1992).\n\nBiracks are algebras studied in low-dimension
 al topology which are in a one-to-one correspondence with set-theoretical\
 , non-degenerate solutions to the Yang-Baxter equation. The use of the lan
 guage of biracks allows us to apply universal algebra tools. In this talk\
 , we describe the generalized retraction relation on a birack which gives 
 new classes of solutions.\n\nThis is joint work with Premysl Jedlicka and 
 Agata Pilitowska.\n
LOCATION:https://researchseminars.org/talk/PALS/21/
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