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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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Algebra, Geometry & Combinatorics: Binomial Schubert Determinantal Ideals

Event Type
Seminar/Symposium
Sponsor
N/A
Location
241 AH
Date
Apr 6, 2023   3:00 pm  
Speaker
Ada Stelzer
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Views
47

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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