Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	杨聚鑫,北京雁栖湖应用数学研究院
Inviter:	黄瑞芝
Title:	An Introduction of the Classical Toda Bracket Theory
Language:	Chinese
Time & Venue:	2024.01.08 10:00-11:00 南楼N802
Abstract:	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.