BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sachin Gautam (Ohio State University) DTSTART:20230803T220000Z DTEND:20230803T233000Z DTSTAMP:20260423T005723Z UID:PIMS_GAP/14 DESCRIPTION:Title: R-matrices of affine Yangians\nby Sachin Gautam (Ohio State Universi ty) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nYangians are certain remarkable Hopf algeb ras\, associated to finite-dimensional simple Lie algebras\, introduced by Drinfeld in the 1980's. Drinfeld proved\, in a non-constructive manner\, that each Yangian comes equipped with a formal solution to the famous Yang -Baxter equation\, known as Drinfeld's universal R-matrix.\n\nIn this talk \, I will present a very concrete method to construct Drinfeld's universal R-matrix using additive difference equations. I will explain how our meth od generalizes to other situations where no analogue of Drinfeld's result is known\, such as Yangians associated to affine Kac-Moody algebras. I wil l highlight the significant differences between the finite and affine situ ations\, and the new challenges present in the latter.\n\nThis talk is bas ed on earlier works joint with Valerio Toledano Laredo and Curtis Wendland t\, and a recent one in collaboration with Andrea Appel and Curtis Wendlan dt.\n\nHybrid delivery (in person on University of Saskatchewan campus and via Zoom).\n LOCATION:https://researchseminars.org/talk/PIMS_GAP/14/ END:VEVENT END:VCALENDAR