BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maria Matushko (Steklov Mathematical Institute of RAS\, Russia) DTSTART:20261214T150000Z DTEND:20261214T160000Z DTSTAMP:20260602T192859Z UID:ENAAS/204 DESCRIPTION:Title: R-matrix-valued Dunkl operators and spin Calogero--Moser system\nby Ma ria Matushko (Steklov Mathematical Institute of RAS\, Russia) as part of E uropean Non-Associative Algebra Seminar\n\nInteractive livestream: https:/ /us02web.zoom.us/j/7803181064\n\nAbstract\nThe Calogero-Moser model is a c elebrated example of a completely integrable system\, with numerous connec tions to several areas of mathematics and physics. It describes a system of $n$ of identical particles scattering on the line with inverse-square potential. There are also trigonometric\, hyperbolic and elliptic version of this model. The integrability of the system can be shown in different w ays\, for example\, constructing the higher Hamiltonans via Dunkl operato rs. We propose an R-matrix generalization of the quantum elliptic Calogero -Moser system\, based on the Baxter--Belavin elliptic R-matrix. This is ac hieved by introducing R-matrix-valued Dunkl operators so that commuting qu antum spin Hamiltonians can be obtained from symmetric combinations of tho se. Using the freezing procedure\, we construct integrable long-range spin chains. The talk is based on the joint work with Oleg Chalykh arXiv:2509 .18989\n LOCATION:https://researchseminars.org/talk/ENAAS/204/ URL:https://us02web.zoom.us/j/7803181064 END:VEVENT END:VCALENDAR