Colleen Robichaux, UCLA

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 these formulas to compute the Castelnuovo-Mumford regularity of certain Kazhdan-Lusztig varieties coming from open patches of Grassmannians as well as the regularity of mixed one-sided ladder determinantal ideals. This is joint work with Jenna Rajchgot and Anna Weigandt.