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Let $G$ be a reductive group and $U,U^-$ be the unipotent radicals of a pairof opposite parabolic subgroups $P,P^-$. We prove that the DG-categories of$U(\!(t)\!)$-equivariant and $U^-(\!(t)\!)$-equivariant D-modules on the affineGrassmannian $Gr_G$ are canonically dual to each other. We show that the unitobject witnessing this duality is given by nearby cycles on theDrinfeld-Gaitsgory-Vinberg interpolation Grassmannian defined inarXiv:1805.07721. We study various properties of the mentioned nearby cycles,in particular compare them with the nearby cycles studied in arXiv:1411.4206and arXiv:1607.00586. We also generalize our results to the Beilinson-DrinfeldGrassmannian $Gr_{G,X^I}$ and to the affine flag variety $Fl_G$.

Nearby cycles on Drinfeld-Gaitsgory-Vinberg Interpolation Grassmannian and long intertwining functor