Noncommutative Geometry Seminar

Date: March 26, 2025

Time: 2:00PM - 3:00PM

Location: BLOC 302

Speaker: Xuan Yao, Cornell University

Title: On the topology of manifolds with positive intermediate curvature

Abstract: We formulate 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 for manifolds of dimension $n\in\{3,4,5\}$ and for most choices of $m$ when $n=6$. As a corollary, we show that a closed, aspherical 6-manifold cannot admit a metric with positive $4$-intermediate curvature.