Taking limits in Go-diagrams - Kartik Singh

Title: Taking limits in Go-diagrams

Abstract: Most decompositions of the Grassmannian are described as subsets of the Grassmannian by setting certain Plücker coordinates to zero, demanding certain other Plücker coordinates to be non-zero, and leaving the remaining Plücker coordinates unspecified. In the case of the Deodhar decomposition, these coordinates are determined by the location of stones in the corresponding Go-diagram. We shall be interested in answering the question as to when one Deodhar component lies in closure of another by looking at their corresponding Go-Diagrams. We will define restricted paths on a graph determined by the Go-diagram and show how they can be used to solve the above problem. This work is joint with Kevin Purbhoo and Olya Mandelshtam.