Ottawa, June 7 - 11, 2021
As an application we will see how this resolves a conjecture by Monical-Tokcan-Yong that Double Schubert polynomials have the saturated Newton property. This is joint work with Yairon Cid-Ruiz, Binglin Li, Fatemeh Mohammadi, Jonathan Montaño and Naizhen Zhang.
We also derive formulas for the regularities of certain Kazhdan--Lusztig ideals, including those coming from open patches of Grassmannians. This provides a correction to a conjecture of Kummini--Lakshmibai--Sastry--Seshadri (2015). This is joint work with Jenna Rajchgot and Anna Weigandt.