Noncommutative Geometry Seminar

Date: November 10, 2021

Time: 2:00PM - 3:00PM

Location: ZOOM

Speaker: Bo Zhu, University of Minnesota

Title: Geometry of positive scalar curvature on complete three-dimensional manifolds

Abstract: One of the basic questions related to positive scalar curvature is how the positive scalar curvature controls the size of geometry, many concepts and conjectures have been introduced by Gromov and many questions remain conjectural level. In this talk, we will discuss the interplay of geometry and positive scalar curvature on a complete manifold. Particularly, we will talk about volume growth of geodesic balls, an estimate of integral of scalar curvature and Uryson width on complete manifolds with nonnegative Ricci curvature and strictly positive scalar curvature based on my recent progress.

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