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SUMMARY:Lực Ta (University of Pittsburgh\, USA)
DTSTART:20260817T150000Z
DTEND:20260817T160000Z
DTSTAMP:20260825T034227Z
UID:ENAAS/190
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/190/">
 From affine algebraic racks to Leibniz algebras and Yang–Baxter operator
 s</a>\nby Lực Ta (University of Pittsburgh\, USA) as part of European No
 n-Associative Algebra Seminar\n\n\nAbstract\nA version of Loday's "coqueci
 grue" problem over arbitrary ground fields seeks analogues of affine algeb
 raic groups whose tangent spaces are Leibniz algebras. To that end\, we co
 nstruct functors assigning left and right Leibniz algebras to pointed rack
  objects in the category of affine schemes. These functors have many desir
 able properties\; in particular\, they recover the Lie algebras of linear 
 algebraic groups (via conjugation quandles) and the Leibniz algebras of al
 gebraic Lie racks. We also use rack schemes to functorially construct (co-
 )nondegenerate solutions to the Yang–Baxter equation in the categories o
 f schemes\, sets\, and commutative k-algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/190/
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