Embeddedness and convexity for hypersurfaces in hyperbolic space

Embeddedness and convexity for hypersurfaces in hyperbolic space

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Jie Qing , UC Santa Cruz
Fine Hall 314

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