Discrete uniformization problem for polyhedral surfaces
Feng Luo, Rutgers University
Abstract: The classical uniformization theorem for Riemann surfaces applies to all compact and non-compact connected surfaces. In the realm of discrete uniformization problems for polyhedral surfaces, progress has been made for compact surfaces. The major remaining issue is the discrete uniformization problem for non-compact surfaces. The challenges in this new setting include formulating the discrete uniformization problem for non-compact surfaces and determining the precise definition of non-compact polyhedral surfaces. This talk will discuss these problems and their relationships to the classical Schwarz lemma, the Cauchy rigidity theorem, and the Weyl problem. This is a joint work with Yanwen Luo.
Tea and refreshments available at 3:00 p.m. in the Assmus Conference Room (CU 212).
