On the topology of manifolds with positive intermediate curvature

2025-04-10 13:38:18

时间:2025年4月16日(星期三),9:00-12:00

Tencent Meeting:409 9581 4561

Password: 583483


主持人:Jintian Zhu, ITS

主讲人:Tongrui Wang, SJTU

报告主题:On the topology of manifolds with positive intermediate curvature

报告摘要:In this talk, I will introduce a conjecture relating the topology of a manifold's universal cover with the existence of metrics with positive m-intermediate curvature. We prove the result in dimension 3~5 and for most choices of m in dimension 6. As a corollary, we show that a closed aspherical 6-manifold cannot admit a metric with positive 4-intermediate curvature. This talk is base on the joint work with Liam Mazurowski and Xuan Yao.