The Picard Group of a Cominuscule Richardson Variety

Learn about the Picard group of Richardson varieties in cominuscule Grassmannians through this mathematics lecture from the Workshop on Combinatorics of Enumerative Geometry at the Institute for Advanced Study. Explore how Richardson varieties, defined by skew diagrams of boxes, decompose into products of smaller varieties when the diagram has multiple connected components. Discover proof that the Picard group forms a free abelian group with rank matching the number of components in the skew diagram, and understand how integration pairing identifies it with the first Chow group's dual. Examine an interesting resolution of singularities that forms the foundation of the proof, presented by Anders Buch from Rutgers University.