CM regularity and Kazhdan-Lusztig varietiesAlgebra & Discrete Mathematics
|Speaker:||Colleen Robichaux, University of Illinois at Urbana-Champaign|
|Location:||1147 MSB + Zoom (livestream)|
|Start time:||Mon, Sep 27 2021, 11:00AM|
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 regularities 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 mixed one-sided ladder determinantal ideals. This is joint work with Jenna Rajchgot and Anna Weigandt.