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I will explain how Lagrangian Floer homology in certain monopole moduli spaces recovers the Khovanov homology and its relatives, by a description strikingly similar to the Oszvath-Szabo Heegard-Floer theory. ��I will also explain how the ‘sectorial descent’ of Fukaya categories can be used to construct Rouquier’s promised monoidal structure on the category of representations of the categorified “positive part” of the quantum group. ��This is joint work with Mina Aganagic, Elise LePage, and Peng Zhou.��