拓扑研讨班：An Introduction of the Classical Toda Bracket Theory

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：杨聚鑫（北京雁栖湖应用数学研究院）

题  目：An Introduction of the Classical Toda Bracket Theory

时  间：2024.01.08（星期一）10:00-11:00

地  点：数学院南楼N802

摘  要：Toda bracket is an art of constructing homotopy liftings and homotopy extensions of maps, it plays a fundamental role on dealing with composition relations of homotopy classes, there are both classical and category-theoretic descriptions of Toda bracket, and it’s the one of the most important tools to determine homotopy groups. In this talk, we will introduce some properties of this important tool based on the classical view, and introduce some developments and applications of Toda bracket theory we got in recent years.