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Seminar

Fellowship of the Ring: The Castelnuovo-Mumford Regularity of Matrix Schubert Varieties February 01, 2022 (01:00 PM PST - 02:30 PM PST)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Anna Weigandt (Massachusetts Institute of Technology)
Description No Description
Video

Fellowship Of The Ring: The Castelnuovo-Mumford Regularity Of Matrix Schubert Varieties

Abstract/Media

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The Castelnuovo-Mumford regularity of a graded module provides a measure of how complicated its minimal free resolution is. In work with Rajchgot, Ren, Robichaux, and St. Dizier, we noted that the regularity of Matrix Schubert Varieties can be easily obtained by knowing the degree of the corresponding Grothendieck polynomial. Furthermore, we gave explicit, combinatorial formulas for the degrees of symmetric Grothendieck polynomials. In this talk, I will present a combinatorial degree formula for arbitrary Grothendieck polynomials. This is joint work with Oliver Pechenik and David Speyer.

92662?type=thumb The Castelnuovo-Mumford Regularity Of Matrix Schubert Varieties 33.5 MB application/pdf

Fellowship Of The Ring: The Castelnuovo-Mumford Regularity Of Matrix Schubert Varieties