Haiman ideals, link homology, and affine Springer fibers

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to a conjecture by Oblomkov, Rasmussen, and Shende.