Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type $A$ and dual canonical bases
Apparaît également dans la collection : Symplectic representation theory / Théorie symplectique des représentations
S. Cautis and H. Williams identified the equivariant K-theory of the affine Grassmannian of $GL(n)$ with a quantum unipotent cell of $LSL(2)$. Under this identification the classes of irreducible equivariant perverse coherent sheaves go to the dual canonical basis. This is a joint work with Ryo Fujita.
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