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
- gidono2@illinois.edu
- Views
- 98
- 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.