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### Geometric triangulations and highly twisted links

**Geometry/Topology**

Speaker: | Jessica Purcell, Monash University |

Related Webpage: | http://users.monash.edu/~jpurcell/ |

Location: | Zoom |

Start time: | Tue, May 26 2020, 3:10PM |

Every 3-manifold can be triangulated, i.e. decomposed into

tetrahedra. If the 3-manifold has geometry, we would like the

corresponding tetrahedra to have geometry. For example, if the 3-manifold is hyperbolic, we would like the tetrahedra to be convex hyperbolic tetrahedra, with positive volume; this is called a geometric triangulation. However, it is still unknown whether every cusped hyperbolic 3-manifold admits such a triangulation. In this talk, I will show that the complement of every knot in the 3-sphere admits a geometric triangulation, provided it is sufficiently highly twisted. This is joint work with Sophie Ham.

Zoom Meeting ID: 120-952-219. The seminar will be followed by an informal meeting with the speaker. You are welcome to stay with us. Please contact mtrnkova@math.ucdavis.edu to request the password for the seminar.