Embeddedness and convexity for hypersurfaces in hyperbolic space

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Jie Qing , UC Santa Cruz

I will talk a proof of the conjecture of Alexander and Currier听on the embeddedness of a nonnegatively curved hypersurfaces in听hyperbolic space. I will also discuss some recent works on hypersurfaces听with nonnegative Ricci curvature in hyperbolic space.