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Xingru Zhang - On simple points of the character variety of a cusped hyperbolic 3-manifold



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.



 

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