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SUMMARY:Guodong Zhou/周国栋 (East China Normal University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260423T024028Z
UID:iccm2020/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/19/
 ">Formal deformations and cohomology theory of Rota-Baxter algebras of any
  weight</a>\nby Guodong Zhou/周国栋 (East China Normal University) as p
 art of ICCM 2020\n\n\nAbstract\nThis paper studies Rota-Baxter algebras of
  any weight\, say\, associative algebras endowed with Rota-Baxter operator
 s. We develop a cohomology theory for Rota-Baxter algebras of any weight a
 nd justify it by interpreting lower degree cohomology groups as formal def
 ormations and abelian extensions of Rota-Baxter algebras. We make explicit
  the $L_\\infty$-algebra structure over the cochain complex defining cohom
 ology groups and introduce the notion of homotopy Rota-Baxter algebras as 
 Maurer-Cartan elements of this $L_\\infty$-algebra.\n
LOCATION:https://researchseminars.org/talk/iccm2020/19/
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