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We first give a brief introduction to the classical Yang-Baxter equation which emphasizes the relationship between the tensor and operator forms. Then we introduce the various generalizations of the classical Yang-Baxter equation, motivated by the study of different topics like integrable systems, Rota-Baxter algebras and Lie bialgebras. Moreover, there are some interesting algebraic structures behind the above study. After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. |