Liam Watson

The fact that Khovanov homology, when working modulo 2, is invariant under mutation has been known for some time and now has several different proofs. I will discuss the apparent sensitivity to signs, and a proof that the reduced Khovanov invariant is unchanged for mutant knots, working over any field. A key part of this makes a surprising appeal to homological mirror symmetry, and my goal will be to describe this part of the story. This is part of a joint poject with Artem Kotelskiy and Claudius Zibrowius.