We examine novel links between the theory of braces and set theoretical solutions of the Yang-Baxter equation, and fundamental concepts from the theory of quantum integrable systems. More precisely, we make connections with Hecke algebras, we identify quantum groups associated to set-theoretic solutions coming from braces and we also derive new classes of symmetries for the corresponding periodic transfer matrices.

* Anastasia Doikou, Heriot-Watt University, Edinburgh

The seminar will be online via Zoom (ID: 917 7027 2241, Password: 820642).