Hello everyone,

I am speaking today in seminar.

Title: Infinite geometric triangulations of hyperbolic 3-manifolds

Abstract:

It is an open question if every cusped hyperbolic 3-manifold supports a geometric triangulation. More generally, one could ask which hyperbolic 3-manifolds support a infinite number number of geometric triangulations. Dadd and Duan showed that the figure 8 knot complement is one such example of this. After reviewing the background, I will discuss how to construct new examples of this phenomenon while dealing with some special cases involving two cusped manifolds. This is joint work with Jessica Purcell

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman