Seminar:
Colloquium
Event time:
Wednesday, November 20, 2024 - 4:00pm
Location:
KT 205
Speaker:
Feng Luo
Speaker affiliation:
Rutgers University
Event description:
The classical uniformization theorem for Riemann surfaces is well-established for both compact and non-compact connected surfaces. However, in the discrete setting, the discrete uniformization theorem is only known for closed polyhedral surfaces. This talk will propose a discrete uniformization problem for all surfaces and relate it to the classical Weyl problem in the hyperbolic 3-space and the Cauchy-Alexandrov rigidity theorem on convex polytopes. Some of our progress will be discussed, including a discrete Schwarz-Pick-Ahlfors lemma and its application. This is joint work with Yanwen Luo.