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#### Rota-Baxter groups, post-groups and related structures

AbstractRota-Baxter operators on Lie algebras were first studied by Belavin, Drinfeld and Semenov-Tian-Shansky as operator forms of the classical Yang-Baxter equation. As a fundamental tool in studying integrable systems, the factorization theorem of Lie groups by Semenov-Tian-Shansky was obtained by integrating a factorization of Lie algebras from solutions of the modified Yang-Baxter equation...

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#### Categorified Quantum Groups, Braided Monoidal 2-Categories and the 4d Kitaev Model

AbstractIt is well-known since the work of Hopf, Drinfel’d, Majid, Witten, and etc. in the late 20th century that Hopf algebra quantum groups play a signification role in both physics and mathematics. In particular, the category of representations of quantum groups are braided, and hence captures invariants of knots. This talk is based on works with F. Girelli, where we develop a systematic ca...

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