OSU Mathematics Seminars and Colloquia
Calendar
Mon, Nov 11, 2019
Graduate Student Seminar
5:00 PM
MSCS 514
On the rank generating function for an interval of partitions
Faqruddin Ali Azam, Oklahoma State University
Snaaaaacks
[Abstract] [PDF]
Abstract: A partition $\lambda=(\lambda_1,\lambda_2,\lambda_3,\cdots)$ is a finite sequence of weekly decreasing non-negative integers. If $\lambda=(\lambda_n)$ and $\delta=(\delta_n)$ are two partitions such that $\delta_i\leq \lambda_i$ for all $i,$ then we say that $\delta\leq \lambda.$ For two partitions $\delta, \lambda,$ we define $\displaystyle{[\delta, \lambda]:=\{ \alpha: \alpha \text{ is a partition and }\delta\leq \alpha\leq \lambda \} }.$ An interval of two partitions is a graded partially ordered set. The rank generating polynomial of a graded partially ordered set P is defined as $\displaystyle{ g_{P}(y)=\sum_{\alpha\in P} y^{\rho(\alpha)},}$ where $\rho(\alpha)$ is the rank of $\alpha.$ We will discuss some formulae to find the rank generating polynomial for any arbitrary interval of partitions.
Add seminars to your own calendar (by an ical link)

Return to Math Department Login Page

To add/edit talks, please log in on the department web page, then return to Announce.
Alternatively if you know the Announce username/password, click the link below:

Announce Seminar Calendar Login