Some arithmetic and geometric problems in complex ball quotients
Sai Kee Yeung (Purdue University)
Abstract: The purpose of the talk is to explain several instances in which arithmetics are used to understand geometry or vice versa, mainly on complex ball quotients. The first is the use of arithmetics in the classification of fake projective planes. The second is on finiteness of integral points on complex two ball quotients of finite volume. The last is to explain some examples for a problem of Lang on transcendence of the uniformizing radius of a hyperbolic Riemann surface.