走向现代数学学术报告 – 黄瑞芝副研究员（No.1002）

报告题目：Local inertness of Poincare duality complexes

报 告 人：黄瑞芝 副研究员（中国科学院）

邀 请 人：邬恩信 副教授

报告时间：2026年11月24日 15点

报告地点：东海岸校区D209

报告摘要：A major problem in homotopy theory is to understand the effect on homotopy groups of attaching a cell. In the context of Poincare duality complexes, this has attracted much attention. Classically, Halperin and Thomas proved the remarkable fact that the attaching map of the top cell of a Poincare duality complex is rationally inert if its rational cohomology ring is not generated by a single element.

We prove that, under certain homological conditions, the attaching map of the top cell of a Poincare duality complex is inert when localized away from a finite set of primes. This improves on a result of Felix and Tanre in these cases.

This is a joint work wish Samik Basu, Sebastian Chenery, Lewis Santon and Stephen Theriault.

报告人简介：黄瑞芝博士研究方向为代数拓扑及其在流形拓扑、微分几何与数学物理中的应用。相关工作发表在J. Top, Adv. Math., Tran. AMS等数学期刊。