Noncommutative resolutions of affine Schubert varieties in type A and canonical bases

Ilya Dumanski, Vasily Krylov

Given a resolution ${\widetilde{\mathrm{Gr}}}^{\underline{\lambda }}\to {\overline{\mathrm{Gr}}}^{\lambda }$ of an affine Schubert variety for $G{L}_n$, we define its noncommutative version -- a…