Some progress towards the stable Khovanov homology of torus knots

The stable Khovanov homology of T(n, infinity) is a limit of the Khovanov homology groups of the torus links T(n,m) as m goes to infinity. A conjecture of Gorsky-Oblomkov-Rasmussen ’12 states that the stable limit is the homology of a certain explicit Koszul complex. We explain some progress towards this result: there exists a spectral sequence converging to this stable group whose E_2 page is this explicit Koszul complex. Joint with William Ballinger, Eugene Gorsky, and Matthew Hogancamp.