Algebra and Geometry Seminar

I will discuss recent joint work with Eugene Gorsky in which we construct a deformation (which we dub ``y-ification''​) of the triply graded Khovanov-Rozans​ky link homology. Astonishingly, y-ification appears to restore the missing q—> tq^{-1} symmetry of Khovanov-Rozans​ky homology for links, though this remains conjecture. I will spend some time discussing our main result, which relates KR homology (both y-ified and the original) to the Hilbert scheme of points in C^2. This is a first step toward a proof of the conjectures of Gorsky-Neguţ-R​asmussen.