Abstract: The gl_0 knot homology is a categorification of the Alexander polynomial. It arrises as a renormalized version of the symmetric gl_N homology for N=0. In these talks we will explain these constructions. The symmetric gl_N homology are based on TQFT-like functors from a certain category of annular graphs and foams to the category graded vector spaces. The underlying annular combinatorics is essential for the construction of the gl_0 knot homology. This will be adressed in the first talk.