Speaker
Andreas Hayash
Description
I will report on work in progress, joint with Justin Campbell. For a reductive group $G$, we prove a factorizable Koszul duality result for the spherical category associated to the affine Grassmannian of $G$. As a consequence, we construct an action of the Langlands dual Lie algebra on the intersection cohomology of the moduli of quasimaps from a curve $X$ into the flag variety $G/B$. If time allows, I will explain how we develop along the way some infinite-dimensional deformation theory using techniques inspired by recent developments in "solid" geometry