Speaker: Angela Hicks, Stanford University
Title: The Diagonal Harmonics and n Capricious Wives
Abstract: In 1966, Konheim and Weiss told the mathematical story of n dutiful husbands driving down a one way street and parking in the first available space upon receiving the command from their n
(independently) capricious wives. We will discuss the now famous
combinatorial object that results from the story--the parking
function--and a few of the reasons for its study. In particular, we'll
discuss a space of multivariate polynomials called the diagonal
harmonics and their conjectured connection to the parking functions.
We'll discuss open problems in the area, and time permitting, a
connection to the Catalan numbers. This talk will assume basic
familiarity with partial derivatives and some familiarity with linear
algebra (especially the concept of dimension of a space) but no deeper
background will be assumed.