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Algebra, Geometry & Combinatorics: Binomial Schubert Determinantal Ideals

Event Type
Seminar/Symposium
Sponsor
N/A
Location
241 AH
Date
Apr 13, 2023   3:00 pm  
Speaker
Ada Stelzer
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Views
85
Originating Calendar
General Events - Department of Mathematics

Binomial ideals are of interest in algebraic geometry because they correspond to toric varieties, which have many nice combinatorial properties. I will characterize the matrix Schubert varieties whose defining ideals are binomial in terms of pattern-avoidance. This proof uses Gröbner basis methods and generalizes a result of Escobar-Mészáros on matrix Schubert varieties that are toric with respect to the natural torus action.

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