Khovanov homology and deformations

Jacob Rasmussen

I'll talk about Khovanov's original Jones polynomial homology and the theory of its deformations, as introduced by Lee and further studied by Bar-Natan and Turner. I'll sketch how this construction generalizes to the sl(N) knot homology (due to Khovanov and Rozansky) and its deformations (due to Gornik.) No prior knowledge of Khovanov homology should be needed.