June 20, 2023
Title: An introduction of unstable periodic homotopy theory (MI talk)
Speaker: Yuqing Shi
In this talk I will explain the motivation and ideas of unstable periodic homotopy theory, where ``unstable'' refers to the study of topological spaces. Very roughly speaking, this theory is concerned with the homotopy type of the mapping spaces out of CW-complexes with finitely many cells. I will start with a review of the rational homotopy theory of topological spaces, whose methods can be generalized to unstable periodic homotopy theory. If time permits, I will discuss one or two examples of problems in this subject that I have been working on for my thesis project.