Discrete conformal geometry of polyhedral surfaces and its convergence
De Feng Luo
Our recent joint work with D. Gu established a discrete version of the uniformization theorem for compact polyhedral surfaces. In this talk, we prove that discrete uniformizaton maps converge to conformal maps when the triangulations are sufficiently fine chosen. We will also discuss the relationship between the discrete uniformization theorem and convex polyhedral surfaces in the hyperbolic 3-space. This is a joint work with J. Sun and T. Wu.
