Homology theories of self-distributive structures: computations
数学公众报告(120周年校庆系列第83场)
报告题目(Title):Homology theories of self-distributive structures: computations
报告人(Speaker):Seung Yeop Yang (Kyungpook National University)
地点(Place):Zoom ID: 883 611 53372, Passcode 824892
时间(Time):2023年3月24日(周五), 16:00-17:00
邀请人(Inviter):程志云
报告摘要
Self-distributive algebraic structures provide an important class of solutions of the set-theoretic Yang-Baxter equation. Since C. S. Peirce emphasized the importance of self-distributivity in algebraic structures in 1880, these structures have been actively studied by a number of scholars, including Mayer, Toyoda, Bruck, Galkin, etc. While homology theories of associative structures, such as groups and rings, have been extensively studied, starting with the work of Eileenberg and Hochschild, it has not been long since the study of homology theories of non-associative distributive structures began to be active.
In this talk, we discuss what we are currently studying about homology theories of self-distributed structures and how they are related to knot theory.