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SUMMARY:Ulf Kühn (Universität Hamburg)
DTSTART:20250620T130000Z
DTEND:20250620T140000Z
DTSTAMP:20260423T021602Z
UID:ACPMS/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/56/">I
 nteresting coproducts through post-Lie algebras</a>\nby Ulf Kühn (Univers
 ität Hamburg) as part of Algebraic and Combinatorial Perspectives in the 
 Mathematical Sciences\n\n\nAbstract\nThis talk reports on joint work with 
 Annika Burmester\, https://arxiv.org/abs/2504.19661 . We study post-Lie st
 ructures on free Lie algebras\, the Grossman-Larson product on their envel
 oping algebras\, and provide an abstract formula for its dual coproduct. T
 his might be of interest for the general theory of post-Hopf algebras. Usi
 ng a magmatic approach\, we explore post-Lie algebras connected to multipl
 e zeta values and their q-analogues. For multiple zeta values\, this frame
 work yields an algebraic interpretation of the Goncharov coproduct. Assumi
 ng that the Bernoulli numbers satisfy the so called threshold shuffle iden
 tities\, we present a post-Lie structure\, whose induced Lie bracket we ex
 pect to restrict to the dual of indecomposables of multiple q-zeta values.
 \n
LOCATION:https://researchseminars.org/talk/ACPMS/56/
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