3. Springer fibres

Problem 3.1.
To an algebraic link one can associate a Springer fibre and a Milnor fibre. Can one compute HHH from the Milnor fibre? 
Problem 3.2.
It is known that the Alexander polynomial can be computed from both the Springer fibre and the Milnor fibre. Understand the relationship between these two constructions. 
Problem 3.3.
Outside of type A is there still a relation between Hochschild cohomology of Rouquier complexes and affine Springer fibres?
Cite this as: AimPL: Categorified Hecke algebras, link homology, and Hilbert schemes, available at http://aimpl.org/catheckehilbert.