Wednesday, October 9 at 2:00pm to 3:00pm
Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089
Sami Assaf, USC
Abstract: Schur functions are an amazing basis of symmetric functions originally defined in the context of representations of invertible matrices. The Pieri rule for the product of a Schur function and a single row Schur function has a beautiful interpretation in terms of adding boxes to a Young diagram. Key polynomials are an interesting basis of the polynomial ring originally defined from representations of upper triangular matrices. In this talk, I'll present a Pieri rule for the product of a key polynomial and a single row key polynomial along with an interpretation in terms of adding balls to a key diagram, perhaps after dropping some balls down. This is joint work with Danjoseph Quijada.