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SUMMARY:Slaven Kožić (University of Zagreb\, Croatia)
DTSTART:20241014T150000Z
DTEND:20241014T160000Z
DTSTAMP:20260423T021118Z
UID:ENAAS/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/100/">
 Representations of the quantum affine vertex algebra  associated with the 
 trigonometric $R$-matrix of type $A$</a>\nby Slaven Kožić (University of
  Zagreb\, Croatia) as part of European Non-Associative Algebra Seminar\n\n
 \nAbstract\nOne important problem in the  vertex algebra theory is to asso
 ciate certain vertex algebra-like objects\, the   quantum vertex algebras\
 , to\nvarious classes of quantum groups\, such as quantum affine algebras 
 or double Yangians.\nIn this talk\, I will    discuss   this problem in th
 e context of Etingof--Kazhdan's quantum affine vertex algebra $\\mathcal{V
 }^c(\\mathfrak{gl}_N)$  associated with the trigonometric $R$-matrix of ty
 pe $A$. \nThe main focus  will be on the explicit description of the cente
 r of $\\mathcal{V}^c(\\mathfrak{gl}_N)$ at the critical level $c=-N$ and\,
  furthermore\, on the connection between certain classes of $\\mathcal{V}^
 c(\\mathfrak{gl}_N)$-modules and representation theories of the quantum af
 fine algebra of type $A$ and the orthogonal twisted $h$-Yangian. The talk 
 is in part based on the joint works with Alexander Molev and Lucia Bagnoli
 .\n
LOCATION:https://researchseminars.org/talk/ENAAS/100/
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