Math Invited Speaker

Wednesday, April 16, 2014
3:30 PM - 5:00 PM
Lo Schiavo Science 103 - Computational Lab
Event Type
Events and Lectures
Liu, Christine S

Speaker: Angela Hicks, Stanford University

Title: The Diagonal Harmonics and n Capricious Wives 

Abstract: In 1966, Konheim and Weiss told the mathematical story of 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.

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