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

Kavli Affiliate: Hiraku Nakajima

| First 5 Authors: Hiraku Nakajima, , , ,

| Summary:

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.

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