Beijing Institute of Mathematical Sciences and Applications

The notion of an operad is ubiquitous in contemporary mathematics, as it allows one to express a vast number of algebraic, topological and other types of structures, while at the same time remaining relatively simple to describe and effectively work with. In this class we plan to cover the standard material primarily focusing on algebraic operads. The main reference is the book "Algebraic Operads" by Loday and Vallette, but we may also draw on other material if needed.