Speaker
Description
We discuss correlations between the Jones polynomial and other knot invariants uncovered using deep neural networks. Some of these correlations are explainable in the sense that there are ideas in knot or gauge theory which, together with interpretable machine learning techniques, can be used to reverse-engineer the function computed by the network. After briefly reviewing a correlation between the Jones polynomial and hyperbolic volume that is explained by the volume conjecture and analytic continuation of Chern-Simons theory, we present new (as yet) unexplained correlations between the Jones polynomial, Rasmussen s-invariant, and slice genus. We speculate on a gauge theory explanation of these correlations using the fivebrane construction of Khovanov homology.
