Karola Meszaros: Flow polytopes and the Kostant partition function

Abstract

This talk will survey the remarkable connections between flow polytopes and Kostant partition functions. One intriguing result in this field is a theorem of Stanley and Postnikov, which expresses the volume of a flow polytope as a Kostant partition function. I'll present a generalization of this theorem, as well as constructions of flow polytopes with combinatorial volumes. The talk is based on joint work with Alejandro H. Morales.