Knot theory and machine learning



2022 12 14

07:30 (GMT+0)


Prof. Andras Juhasz (University of Oxford)

Moscow-Beijing Topology Seminar

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.

Zoom ID: 83150200580, Password: 141592,

Time line

Chicago -8h

Moscow +0h

Beijing +5h

Seoul +6h

Tokyo +6h