BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carsten Dietzel (University of Caen Normandy\, France) DTSTART:20260316T150000Z DTEND:20260316T160000Z DTSTAMP:20260423T052500Z UID:ENAAS/165 DESCRIPTION:Title: A Brief Guide to Cabling and Endocabling.\nby Carsten Dietzel (Univers ity of Caen Normandy\, France) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nCabling is a method developed by Lebed\, Ramìrez and Vendramin to deform involutive\, non-degenerate solutions to the Yang- Baxter equations while keeping control over the diagonal maps of the resul ting solutions. This powerful tool allows one to prove a plethora of decom posability results for involutive solutions and has recently been generali zed by Colazzo and Van Antwerpen to obtain similar results for non-involut ive solutions. In this talk\, I will give an outline of classical cabling in the style of Lebed\, Ramìrez and Vendramin\, and explain some standard applications of the method. Afterwards\, I will demonstrate how classical cabling can be generalized to endocabling\, where involutive solutions ar e deformed by means of endomorphisms of the module structure of permutatio n braces which is given by the λ-action. Finally\, I will give a rough sk etch how endocabling can be applied to provide insights into the structure of solutions whose diagonal map is a cyclic permutation.\n LOCATION:https://researchseminars.org/talk/ENAAS/165/ END:VEVENT END:VCALENDAR