Room 326

Conormal Varieties on Cominuscule Grassmannians

Rahul Singh

Northeastern University

Consider a Schubert subvariety of a cominuscule Grassmannian. In this talk, we construct a resolution of singularities, and for Grassmannian of type A,C, or D, also compute a system of defining equations for the conormal variety of the Schubert variety in the Grassmannian. The image of a conormal variety under the Springer map is an orbital variety. We will show how to use this to construct a resolution of singularities and a system of defining equations for certain orbital varieties in type A. Finally, time permitting, we will discuss current attempts at extending these results to general flag varieties. (Based on ArXiv preprint 1805.12297)