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For a Dynkin quiver $Q$ of type ADE and a sum $\beta$ of simple roots, weconstruct a bimodule over the quantum loop algebra and the quiver Hecke algebraof the corresponding type via equivariant K-theory, imitatingGinzburg-Reshetikhin-Vasserot's geometric realization of the quantum affineSchur-Weyl duality. Our construction is based on Hernandez-Leclerc'sisomorphism between a certain graded quiver variety and the space ofrepresentations of the quiver $Q$ of dimension vector $\beta$. We identify thefunctor induced from our bimodule with Kang-Kashiwara-Kim's generalized quantumaffine Schur-Weyl duality functor. As a by-product, we verify a conjecture byKang-Kashiwara-Kim on the simpleness of some poles of normalized R-matrices forany quiver $Q$ of type ADE.

Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality