On rigidity results for complete manifolds with nonnegative scalar curvature

On rigidity results for complete manifolds with nonnegative scalar curvature

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Jintian Zhu, Peking University and University of Chicago

Zoom link: https://princeton.zoom.us/j/594605776

I will discuss a new idea to prove some rigidity result for complete manifolds with nonnegative scalar curvature. Based on this idea, I will also show how to obtain optimal 2-systole estimates involving positive scalar curvature lower bound on several classes of complete manifolds.