Quiver varieties and quantum Knizhnik--Zamolodchikov equation

We shall discuss how certain special solutions of the (rational) quantum Knizhnik--Zamolodchikov equation
arise from the equivariant cohomology of quiver varieties. We shall see how to reintrepret certain results of myself and my collaborators (Di Francesco, Knutson, Rimanyi, Tarasov, Varchenko) in the light of recent developments, in particular the work of Maulik and Okounkov. If time permits we shall discuss the relation with the geometric Satake correspondence.