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.