Report Title：Hopf Algebroids from Dynamical Yang-Baxter Maps
Reporter：Youichi Shibukawa
Affiliated unit：Hokkaido University
Report time：December 11, 2025, 14:00-16:00
Report Location:Zoom Id: 904 645 6677，Password: 2025
Meeting ID:
https://zoom.us/j/9046456677?pwd=LJpBPzAw2Sn0MKhb0Qc6QdJ1jEeh7B.1&omn=88293207047
Abstract:
Faddeev, Reshetikhin, and Takhtajan famously constructed q-analogs of function spaces, which are Hopf algebras (or, more precisely, bialgebras), by utilizing the R-matrices, solutions to the (quantum) Yang-Baxter equation. This talk introduces a generalization of their approach. We demonstrate that dynamical Yang-Baxter maps - solutions to a version of the dynamical Yang-Baxter equation - yield Hopf algebroids. These Hopf algebroids can also be regarded as a generalization of Hayashi's face algebras.
Presenter Introduction： Professor Youichi Shibukawa is based at Hokkaido University. His initial research focused on the quantum group and its representation theory. He is currently studying Garside theoretic aspects of the quiver-theoretic Yang-Baxter equation.
