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 link：

//zoom.us/j/9046456677?pwd=LJpBPzAw2Sn0MKhb0Qc6QdJ1jEeh7B.1&omn=88293207047

Report Summary:

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.