Algebra and Geometry Seminar

I will describe how the (co)homology of "diagonal" affine Springer fibers in the affine Grassmannian relates to projective coordinate rings of certain varieties. In the G=GL(n) case, we recover the isospectral Hilbert scheme on the surface C* x C. Time permitting, I will explain how this construction relates to Cherednik algebras and knot homology.