Homotopy of manifolds through a cubic method

Abstract

In several occasions, I have talked about some recent progresses on the unstable homotopy of manifolds made by Stephen Theriault and myself. But no details of the proof were presented. In this homotopy seminar talk, I would like to focus on one work in this project, that is, the loop homotopy decomposition of manifolds stabilized by projective spaces. We may work out some proofs together, especially the cubic diagram arguments.

Speaker Intro

黄瑞芝于2017底在新加坡国立大学获数学博士学位，之后在中国科学院数学与系统科学研究院工作至今。主要研究代数拓扑及其在流形拓扑、微分几何与数学物理中的应用。研究成果发表于Adv. Math., Tran. AMS, J. Lon. Math. Soc, Annales l'Institut Fourier, Math. Z.等数学期刊。