中国科学院数学与系统科学研究院
数学研究所
学术报告
微分几何研讨班
报告人： 张若冰 博士（Princeton University）
题 目：Metric geometric aspects of Einstein manifolds
时 间：2023.11.24（星期五），09:00-10:00
地 点：数学院南楼N933/ Zoom会议：332 983 6068 密码：mcm1234
摘 要：This lecture concerns the metric Riemannian geometry of Einstein manifolds, which is a central theme in modern differential geometry and is deeply connected to a large variety of fundamental problems in algebraic geometry, geometric topology, analysis of nonlinear PDEs, and mathematical physics. We will exhibit the rich geometric/topological structures of Einstein manifolds and specifically focus on the structure theory of moduli spaces of Einstein metrics.
My recent works center around the intriguing problems regarding the compactification of the moduli space of Einstein metrics, which tells us how Einstein manifolds can degenerate. Such problems constitute the most challenging part in the metric geometry of Einstein manifolds. We will introduce recent major progress and propose several open questions in the field.
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