【摘要】
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. In this talk, we prove the discrete uniformization theorem for all polyhedral surfaces whose fundamental group is not cyclic. This is a joint work with Yanwen Luo.
