I will describe a model for the HOMFLY homology of the (m,n) torus knot using the finite-dimensional irreducible representation L_{m/n} of the rational Cherednik algebra with parameter m/n. In the case m=n+1 this homology can be identified with a certain isotypic component in the space of diagonal harmonics of A. Garsia and M. Haiman, and its character is given by the q,t- Schroder numbers. The m-n symmetry of this construction will be also discussed.

The talk is based on a joint work with A. Oblomkov, J. Rasmussen and V. Shende.