Inert top cell attachments in Poincaré duality complexes
Organizers
Speaker
Ruizhi Huang
Time
Thursday, December 26, 2024 1:30 PM - 3:00 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
Studying the homotopy effect of cell attachment is fundamental in homotopy theory. Historically, this problem has been examined in the context of so-called inert cell attachments, with particular emphasis on studying the loop space homotopy type of such cell attachments. In 1982, Félix-Halperin-Thomas introduced the classical notion of rational inertness; in 2020, Theriault introduced an integral generalization of rational inertness. Both have stimulated fruitful progresses in homotopy theory. In this talk, we will give some criteria for the inertness of the top cell attachments of Poincaré duality complexes, and discuss several examples.
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。