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Sino-Russian Mathematics Center-JLU Colloquium (2025-043)—Hopf Algebroids from Dynamical Yang-Baxter Maps

发表于: 2025-12-03   点击: 

报告题目:Hopf Algebroids from Dynamical Yang-Baxter Maps

报 告 人:Youichi Shibukawa

所在单位:Hokkaido University

报告时间:December 11, 2025, 14:00-16:00

报告地点:Zoom Id: 904 645 6677,Password: 2025

会议链接:

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


报告摘要:

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.


报告人简介: 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.