Seminar
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| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Fellowship Of The Ring: The Castelnuovo-Mumford Regularity Of Matrix Schubert Varieties
To attend this seminar, you must register in advance, by clicking HERE.
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.
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The Castelnuovo-Mumford Regularity Of Matrix Schubert Varieties
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