Colleen Robichaux : CM regularity and Kazhdan-Lusztig varieties

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Sept. 26, 2022, 3 p.m.

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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.