Institut for Matematik og Datalogi

Et udvidet FNUG forskningsseminar med gæsteforskere.

Speaker: Clement Delcamp (​IHES).I will use finite group topological lattice gauge theory as a lens to explore a notion of topological order enriched by a non-invertible symmetry. For invertible symmetry enriched topological order, there is an established axiomatisation in terms of a G-crossed braided fusion categories. I will lay the foundations to generalise this framework using  hypergroup-graded extensions and Hopf monads. Finally, I will construct explicit examples by condensing algebras of charges within a parent topological lattice gauge theory.

Speaker: Muze Ren (​University of Strasbourg).Abstract: ​Multiple zeta values (MZVs) are real numbers that generalize Riemann zeta functions at integer values. MZVs have three distinguished set of relations, namely the stuffle relation, shuffle relation and regularization relations, those relations has deep connection with the theory of motives. G. Racinet introduced the double shuffle Lie algebra (dmr_0)  and use it to study formally those three set of relations. Kashiwara-Vergne Lie algebra (krv_2) was introduced by A. Alekseev and C. Torossian when they give a proof of Kashiwar--Vergne conjecture in Lie theory.In this talk, I want to use the notion of Brunnian braids to give a topological description of dmr_0 and symmetric krv_2.   And prove that dmr_0 injects to symmetric krv_2. This talk is based on the preprint arXiv:2605.20844 [math.QA] and arXiv:2607.28163 [math.QA].

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