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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: (Online) 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.