Title: Generative Adversarial Networks vs. The Jones Unknotting Conjecture

Speaker(s): Jared Slone

Abstract: The Jones polynomial is a mathematical invariant of an oriented knot. The Jones conjecture states that no non-trivial knot has the same Jones polynomial as the unknot. In March of 2020, this conjecture was verified for all knots up to 24 crossings. In this talk, we will discuss the application of a modified GAN to define a sub-space of higher crossing knots where any potential counterexample to the conjecture would likely be, and to explore this proposed space.

Advisor: Mark Hughes