Dr. Andras Juhasz, Oxford – Knot theory and machine learning

Mode: ZOOM

Title: Knot theory and machine learning

Abstract: The signature of a knot K in the 3-sphere is a classical invariant that gives a lower bound on the genera of compact, oriented surfaces in the 4-ball with boundary K. We say that K is hyperbolic if its complement admits a complete, finite volume hyperbolic metric. I will explain how we have used methods from machine learning to find an unexpected relationship between the signature and the cusp shape of a hyperbolic knot. This is joint work with Alex Davies, Marc Lackenby, and Nenad Tomasev.