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Sequences of manifolds with lower bounds on their scalar curvature

By Christina Sormani

If one has a weakly converging sequence of manifolds with a uniform lower bound on their scalar curvature, what properties of scalar curvature persist on the limit space? What additional hypotheses might be added to provide stronger controls on the limit space? What hypotheses are required to be guaranteed that a sequence has a converging subsequence? What notions of convergence might we consider? I will present examples and conjectures.

Information about the video


  • Christina Sormani, Conjectures on Convergence and Scalar Curvature, preprint [arXiv:2103.10093]{https://arxiv.org/abs/2103.10093}

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