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SUMMARY:Yanyong Hong (Hangzhou Normal University\, China)
DTSTART:20240129T150000Z
DTEND:20240129T160000Z
DTSTAMP:20260423T021115Z
UID:ENAAS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/54/">N
 ovikov bialgebras\, infinite-dimensional Lie bialgebras and Lie conformal 
 bialgebras</a>\nby Yanyong Hong (Hangzhou Normal University\, China) as pa
 rt of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn this talk
 \, I will introduce a bialgebra theory for the Novikov algebra\, namely th
 e Novikov bialgebra\, which is characterized by the fact that its affiniza
 tion (by a quadratic right Novikov algebra) gives an infinite-dimensional 
 Lie bialgebra. A Novikov bialgebra is also characterized as a Manin triple
  of Novikov algebras. The notion of Novikov Yang-Baxter equation is introd
 uced\, whose skewsymmetric solutions can be used to produce Novikov bialge
 bras and hence Lie bialgebras. These solutions also give rise to skewsymme
 tric solutions of the classical Yang-Baxter equation in the infinite-dimen
 sional Lie algebras from the Novikov algebras. Moreover\, a similar connec
 tion between Novikov bialgebras and Lie conformal bialgebras will be intro
 duced. This talk is based on joint works with Chengming Bai and Li Guo.\n
LOCATION:https://researchseminars.org/talk/ENAAS/54/
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