On a poset of set partitions

Seminar
Speaker
Yonah Cherniavsky (Ariel Univ.)
Date
14/11/2021 - 15:30 - 14:00Add to Calendar 2021-11-14 14:00:00 2021-11-14 15:30:00 On a poset of set partitions We define combinatorially a partial order on the set partitions.  This order appears to be equivalent to the Bruhat–Chevalley–Renner order on the upper triangular matrices.   We exhibit a connection between two statistics on set partitions -- the intertwining number (introduced by Richard Ehrenborg and Margaret Readdy in 1998)  and the depth-index (our parameter which is the rank function of our poset of set partitions).  This talk is based on joint works with Mahir Bilen Can and Martin Rubey. zoom אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom
Abstract

We define combinatorially a partial order on the set partitions. 

This order appears to be equivalent to the Bruhat–Chevalley–Renner order on the upper triangular matrices.  

We exhibit a connection between two statistics on set partitions --

the intertwining number (introduced by Richard Ehrenborg and Margaret Readdy in 1998) 

and the depth-index (our parameter which is the rank function of our poset of set partitions). 

This talk is based on joint works with Mahir Bilen Can and Martin Rubey.

תאריך עדכון אחרון : 11/11/2021