Abstract:

Schubert Calculus has its origins in enumerative questions asked by the geometers of the 19th century.  Algebraic reformulations of these problems have led to a vast theory of symmetric polynomials and related tableau combinatorics.  In this talk, we will discuss how to use derivatives to shed light on algebraic and combinatorial properties of families of polynomials.

*The Math Colloquium will be available live via Zoom at https://uiowa.zoom.us/j/99206823329 and recordings of the sessions will be available at https://uicapture.hosted.panopto.com/Panopto/Pages/Sessions/List.aspx?folderID=b23b61cc-a48a-4de7-99fc-ae46015b8b6e usually within a couple hours of the colloquium finishing.