Discrete CATS Seminar

02/24/2020 - 2:00pm
POT 745
Speaker(s) / Presenter(s): 
Ben Reese, University of Kentucky

Speaker:  Ben Reese, University of Kentucky

Title:  Zero-One Schubert Polynomials

Schubert polynomials were first defined by Bernstein-Demazure in 1973-1974, and they arise in several areas of combinatorics and representation theory. We present three different descriptions of these polynomials due to Lascoux-Schutzenberger, Billey-Jockusch-Stanley, and Magyar. We then discuss the Fink-Meszaros-St. Dizier pattern avoidance characterization of Schubert polynomials having zero-one coefficients.  This is motivated by those Schubert polyomials that equal the integer point transform of the generalized permutahedron.

This is a Master exam talk.

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