Chemical bonding at surfaces

I have started reading (with Seth Olsen and Elvis Shoko) a beautiful Reviews of Modern Physics article by Roald Hoffmann, A chemical and theoretical way to look at bonding on surfaces.
A key idea he discusses is that chemisorption is a compromise: metal-absorbate bonding is accomplished at the expense of bonding within the absorbed molecule and within the metal.

One question I am interested in is:
How do strong electronic correlations modify the picture Hoffmann presents using molecular orbitals and bands?

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