中科院数学与系统科学研究院
数学研究所
学术报告
几何拓扑研讨班
报告人：朱锦天 副教授 (西湖大学）
题 目：Towards a further comprehension for mass inequalities
时 间：2024.9.24（周二）10:30-11:30
地 点：晨兴 110
摘 要: In this talk, I will start with an introduction on asymptotically flat manifolds and classical mass inequalities including Riemannian positive mass theorem and Riemannian Penrose inequality. Then we make a review on recent developments on mass inequalities for asymptotically flat manifolds with arbitrary ends and mention the most general mass-systole conjecture raised by myself. Finally, I present my recent works on the mass-systole conjecture as evidence for its validity.