Colleen Robichaux (part 2) "CM regularity and Kazhdan-Lusztig varieties"
Channel: Schubert Seminar
Date: 2022-10-15

Title: CM regularity and Kazhdan-Lusztig varieties
Abstract: We give an explicit formula for the degree of a vexillary Grothendieck polynomial. This generalizes a previous result of J. Rajchgot-Y. Ren-C. Robichaux-A. St. Dizier-A. Weigandt for degrees of symmetric Grothendieck polynomials. We apply our work to compute the Castelnuovo-Mumford regularity of certain matrix Schubert varieties. We also derive formulas for the regularities of Kazhdan-Lusztig varieties coming from open patches of Grassmannians as well as the regularities of certain ladder determinantal ideals. This is joint work with Jenna Rajchgot and Anna Weigandt.