Geometric Satake correspondence for affine Kac-Moody Lie algebras of type $A$

TL;DR

This paper provides an informal exposition of the geometric Satake correspondence for affine Kac-Moody Lie algebras of type A, highlighting analogies with quiver variety approaches.

Contribution

It offers an accessible overview of the geometric Satake correspondence in the affine Kac-Moody setting, connecting it with quiver variety methods.

Findings

Highlights formal analogies with quiver variety approaches

Provides an informal exposition of the geometric Satake correspondence

Connects geometric representation theory with affine Kac-Moody algebras

Abstract

This is an informal expository article on geometric Satake correspondence for affine Kac-Moody Lie algebras of type $A$ given in arXiv:1810.04293. We emphasize formal analogies between this result and the author's earlier results on geometric approaches to the representation via quiver varieties.