Bow varieties and representations of affine Lie algebras

Abstract: Cherkis bow varieties of affine type A are common generalization of quiver varieties and Coulomb branches of affine type A. We construct commuting representations of affine $sl_l$ and $sl_n$ on the direct sum of their homology groups (more precisely homology groups of attracting sets), as common generalization of corresponding results for quiver varieties and geometric Satake for affine $sl_n$. This is a part of a joint work in progress with Dinakar Muthiah.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar