中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

拓扑研讨班

Speaker: 胥夫鹏 博士（中国科学院数学与系统科学研究院）

Inviter:苏阳

Language: Chinese

Title:  On 7-manifolds with b_2=2: diffeomorphism classification and nonconnected moduli spaces of positive Ricci curvature metrics

Time & Venue: 2025年12月3日（星期三） 14:30 - 15:30 & 南楼N820

Abstract: Understanding how topology influences existence and variation of positive Ricci curvature metrics remains a central theme in manifold topology and geometry. Many potential sources of nontrivial moduli behavior, especially those lacking the geometric structures required by existing general results, remain poorly understood.In this talk we present a partial classification of simply connected 7-manifolds with b_2=2 arising as circle bundles over (CP^1×CP^2)# CP^3, using modified surgery theory to develop and compute refined invariants. The classification provides new manifolds whose spaces and moduli spaces of positive Ricci curvature metrics have infinitely many path components, extending such phenomena beyond previously accessible settings.