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SUMMARY:Senne Trappeniers (Free University of Brussels\, Belgium)
DTSTART:20231127T150000Z
DTEND:20231127T160000Z
DTSTAMP:20260423T052454Z
UID:ENAAS/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/46/">T
 he interplay between skew braces\, the Yang–Baxter equation and Hopf–G
 alois structures</a>\nby Senne Trappeniers (Free University of Brussels\, 
 Belgium) as part of European Non-Associative Algebra Seminar\n\n\nAbstract
 \nIn 2007\, Wolfgang Rump introduced algebraic objects called braces\, the
 se gen- eralise Jacobson radical rings and are related to involutive non-d
 egenerate set- theoretic solutions of the Yang–Baxter equation (YBE). Th
 ese objects were subse- quently generalised to skew braces by Leandro Guar
 nieri and Leandro Vendramin in 2017\, and a similar relation was shown to 
 hold for non-degenerate set-theoretic solutions of the YBE which are not n
 ecessarily involutive. In this talk\, we will de- scribe this interplay be
 tween skew braces and the YBE. We will also discuss their relation to Hopf
 –Galois structures and see how this extends the classical Galois theory 
 in an elegant way.\n
LOCATION:https://researchseminars.org/talk/ENAAS/46/
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