数学研究所

学术报告

拓扑研讨班

Speaker: 胥夫鹏（清华大学）
Inviter: 苏阳 研究员

Language: Chinese

Title: Free Circle Action on Certain Simply Connected 7-manifolds

Time&Venue: 2025年4月23日（星期三） 14:30-15:30 & 南楼N818

Abstract:  Manifold classification is a fundamental problem in topology. In higher dimensions, complete classifications are often intractable, motivating the study of manifolds with special structures or significant connections to other areas of mathematics.This talk concerns manifolds admitting a free smooth circle action. I will begin with an overview of existing classification results and applications, then present for which nonnegative integers k, l and for which homotopy 7−sphere Σ the manifold (k S^{2}× S^{5})#(l S^{3}× S^{4})#Σ admits a free smooth circle action.