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Length and ortho-length spectra


Speaker: Maria Trnkova, Cal Tech
Location: 2112 MSB
Start time: Tue, May 19 2015, 3:10PM

In this talk we discuss length and ortho-length spectra of finite volume hyperbolic 3-manifolds. They are geometric invariants of a hyperbolic 3-manifold up to isometry. Computer program Snap can calculate these spectra with high precision but it does not compute a round-off errors. We describe an algorithm that computes the spectra rigorously and discuss some applications of its implementation: Exceptional Manifolds Conjecture, Dehn parental test. Part of this work is joint with David Gabai and another part is joint with Robert Haraway and Neil Hoffman.