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Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type A and dual canonical bases

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Finkelberg, Michael

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Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type A and dual canonical bases
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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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).Underthisidentificationthe classes of irreducible equivariant perverse coherent sheaves go to the dual canonical basis. This is a joint work with Ryo Fujita.