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

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.

arXiv comment12 pages, 1 figure, to appear in Proceeding of Kinosaki Algebraic Geometry Symposium 2018