Perverse sheaves on Grassmannians via microlocal geometry
I will present a finite-dimensional quiver algebra whose representations are equivalent to the category of Schubert-constructible perverse sheaves on the Grassmannian $Gr(k,n)$. The functor inducing the equivalence is constructed by analyzing the local geometry of the conormal variety $\Lambda$ to the stratification, and gluing the associated categories of microlocal perverse sheaves. I will emphasize the special features of $\Lambda$ which make the Grassmannian much more tractable than other flag varieties. If time permits, I will talk about a graded version of the quiver algebra due to Khovanov and Stroppel.