Skein modules from skew howe duality and affine extensions

We show that we can release the rigidity of the skew Howe duality process for sl n knot invariants by rescaling the quantum Weyl group action, and recover skein modules for web-tangles. This skew Howe duality phenomenon can be extended to the af f ine slm case, corresponding to looking at tangles embedded in a solid torus. We investigate the relations between the invariants constructed by evaluation representations (and af f inization of them) and usual skein modules, and give tools for interpretations of annular skein modules as subalgebras of intertwiners for particular Uq (sl n ) representations. The categorif ication proposed in a joint work with A. Lauda and D. Rose also admits a direct extension in the af f ine case.