Speaker:	Feng Luo (Rutgers University)
Title:	Weyl problem in the hyperbolic $3$-space and the Koebe circle domain conjecture
Abstract:	The classical Weyl problem (in the hyperbolic geometric setting) asks if every complete hyperbolic surface of genus zero can be isometrically embedded in to the hyperbolic $3$-space as a convex surface and the Koebe circle domain conjecture states if every domain is conformal to a domain whose boundary components are circles or points. We show that these two problems are closely related. This is a joint work with Tianqi Wu.