Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties

This is an abstract for my talk at the 68th Geometry Symposium on August 31, 2021. It is based on my joint work in progress with Dinakar Muthiah: a conjectural characterization of the equivariant costalk of the intersection cohomology complex of Coulomb branch of a quiver gauge theory at the torus fixed point in terms of conjectural geometric Satake correspondence for Kac-Moody settings. Its proof in affine type A is sketched. See https://www.mathsoc.jp/~geometry/symp_schedule/geometry_symposium_2021.html for the list of titles of the sympoium.