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### CM regularity and Kazhdan-Lusztig varieties

**Algebra & Discrete Mathematics**

Speaker: | Colleen Robichaux, University of Illinois at Urbana-Champaign |

Related Webpage: | https://faculty.math.illinois.edu/~cer2/ |

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.