|XINGRU ZHANG, Mathematics Department, SUNY at Buffalo, Buffalo, New York 14214-3093, USA|
|On simple points of the character variety of a cusped hyperbolic 3-manifold|
In recent years, the study of the SL(2,C)-character varieties of 3-manifolds has brought great progress in underlying the topology and geometry of 3-manifolds. Yet many fundamental questions concerning these varieties remain unanswered. In this talk I will discuss one aspect of the character variety of a cusped hyperbolic 3-manifold, namely to determine which points of the variety are simple in the sense of algebraic geometry. This is a joint work with Steve Boyer.