Knot homology of cabled torus knots and sheaves on Hilbert scheme of points on the plane

Talk is based on the joint work with Gorsky, Mazin and Rozansky.
I will explain a construction of coherent sheaf on Hilb_n(C^2) whose global sections compute the triply graded homology of cabling of torus knot. I match the answer with the cohomology of the compactified Jacobian of the corresponding singularity.