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Sep 26 2022

Algebraic Geometry Seminar: CM regularity and Kazhdan-Lusztig varieties, by Colleen Robichaux

September 26, 2022

3:00 PM - 3:50 PM




Chicago, IL

Colleen Robichaux (UCLA): CM regularity and Kazhdan-Lusztig varieties

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.

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Kevin Tucker

Date posted

Oct 4, 2022

Date updated

Oct 4, 2022


Colleen Robichaux | (UCLA)