Algebraic Geometry Seminar
Colleen Robichaux
UCLA
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.
Monday September 26, 2022 at 3:00 PM in Zoom