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Geometry and Topology Seminars

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See below for upcoming seminars or access the seminar archive.


Bill Bogley, Christine Escher and Ren Guo


Meeting time

M 1200-1250

Volumes of Hyperbolic 3-Manifolds

Kidd 280

Speaker: Alexander Pierson

It is a result of Thurston that for a large class of knots, there is a unique complete hyperbolic structure on its complement. This leads very naturally to the 3-manifold invariant of hyperbolic volume, the volume of this 3-manifold. In this talk we will discuss motivations of the study of this invariant, as well as examples of how to compute it. We will also discuss drawbacks of volume and introduce further extensions of it, such as the Chern-Simons invariant, and how to describe the volume of families of perturbed manifolds, where the hyperbolic structure is no longer complete. Read more.