BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lực Ta (University of Pittsburgh\, USA) DTSTART:20260817T150000Z DTEND:20260817T160000Z DTSTAMP:20260423T021116Z UID:ENAAS/190 DESCRIPTION:Title: From affine algebraic racks to Leibniz algebras and Yang–Baxter operator s\nby Lực Ta (University of Pittsburgh\, USA) as part of European No n-Associative Algebra Seminar\n\nInteractive livestream: https://us02web.z oom.us/j/7803181064\n\nAbstract\nA version of Loday's "coquecigrue" proble m over arbitrary ground fields seeks analogues of affine algebraic groups whose tangent spaces are Leibniz algebras. To that end\, we construct func tors assigning left and right Leibniz algebras to pointed rack objects in the category of affine schemes. These functors have many desirable propert ies\; in particular\, they recover the Lie algebras of linear algebraic gr oups (via conjugation quandles) and the Leibniz algebras of algebraic Lie racks. We also use rack schemes to functorially construct (co-)nondegenera te solutions to the Yang–Baxter equation in the categories of schemes\, sets\, and commutative k-algebras.\n LOCATION:https://researchseminars.org/talk/ENAAS/190/ URL:https://us02web.zoom.us/j/7803181064 END:VEVENT END:VCALENDAR