数学研究所

学术报告

杰出访问研究员综合报告会

Speaker:  Prof. Stephen Theriault （University of Southampton）

Inviter: 黄瑞芝 副研究员

Language: English

Title:The homotopy theory of Poincare Duality complexes

Time&Venue: 2025年3月26日 14：30-15：30 & 南楼N818

Abstract: A Poincare Duality complex is a CW-complex M whose cohomology satisfies Poincare Duality, meaning it is a topological generalization of an oriented manifold. The goal is to gain insight into the homotopy theory of M by determining properties of its based loop space. An approach will be outlined that has had success for several interesting families of Poincare Duality complexes.