Set-valued Young Tableaux in Algebraic and Tropical Geometry by Prof. Nathan Pflueger

Set-valued Young Tableaux in Algebraic and Tropical Geometry by Prof. Nathan Pflueger, Amherst College, Class of 1960s Speaker, Friday, April 12, Mathematics Faculty Seminar, 1 – 1;45 pm, Thompson Chemistry 206

Abstract:  Young tableaux are combinatorial objects with many beautiful properties; they arise naturally in representation theory and enumerative algebraic geometry. A Young tableau consists of an arrangement of positive integers in a partial grid, where the numbers are monotonic in both coordinate directions. A generalization of Young tableaux, set-valued tableaux, allow several numbers to be written in each place. I will tell how these set-valued tableaux arose quite unexpectedly while investigating a problem in algebraic geometry. I may also mention links to tropical geometry, and some new combinatorial algorithms that arose from this work. This is joint work with Melody Chan.