Time：9:00-12:00, Wednesday, April 16 2025
Tencent Meeting：409 9581 4561
Password: 583483
Host：Jintian Zhu, ITS
Speaker：Tongrui Wang, SJTU
Title：On the topology of manifolds with positive intermediate curvature
Abstract：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.
