Abstract: This talk will focus on some metric invariants of Riemannian manifolds, which were introduced by Gromov in the 1980s.  I will first introduce several metric invariants of Riemannian manifolds and then explore its connection with curvature on manifolds. After that, I will talk about our recent progress on Llarull rigidity theorem on four-dimensional manifolds.

Biography: Bo Zhu is currently a visiting Assistant Professor at Texas A&M University. He obtained his Ph.D. at University of Minnesota-Twin Cities in 2022. His research mainly focuses on differential geometry and index theory.

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