BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Slaven Kozic (University of Zagreb\, Croatia) DTSTART:20250528T113000Z DTEND:20250528T123000Z DTSTAMP:20260502T044127Z UID:PHK-cohomology-seminar/135 DESCRIPTION:Title: On some new constructions in quantum vertex algebra theor y\nby Slaven Kozic (University of Zagreb\, Croatia) as part of Prague- Hradec Kralove seminar Cohomology in algebra\, geometry\, physics and stat istics\n\nLecture held in ZOOM meeting.\n\nAbstract\nOne important problem in the vertex algebra theory is to associate certain vertex algebra-like objects\, the quantum vertex algebras\, to various classes of quantum grou ps\, such as quantum affine algebras or double Yangians. In this talk\, af ter giving a brief introduction to the main concepts of quantum vertex alg ebra theory\, I will discuss the aforementioned problem in the setting of the Etingof-Kazhdan quantum affine vertex algebra associated with the trig onometric R-matrix of type A. The main focus will be on its connection wit h the representation theory of the quantum affine algebra of type A\, the explicit description of its center at the critical level and some further applications to the construction of certain commutative subalgebras. The t alk is in part based on the joint works with Lucia Bagnoli and Alexander M olev.\n LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/135/ END:VEVENT END:VCALENDAR