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For a Dynkin quiver   $Q$   of type   $\mathsf{ADE}$   and a sum   $\beta $   of simple roots, we construct a bimodule over the quantum loop algebra and the quiver Hecke algebra of the corresponding type via equivariant   $K$  -theory, imitating Ginzburg–Reshetikhin–Vasserot’s geometric realization of the quantum affine Schur–Weyl duality. Our construction is based on Hernandez–Leclerc’s isomorphism between a certain graded quiver variety and the space of representations of the quiver   $Q$   of dimension vector   $\beta $  . We identify the functor induced from our bimodule with Kang–Kashiwara–Kim’s generalized quantum affine Schur–Weyl duality functor. As a by-product, we verify a conjecture by Kang–Kashiwara–Kim on the simpleness of some poles of normalized   $R$  -matrices for any quiver   $Q$   of type   $\mathsf{ADE}$  .

Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality