Seminars & Colloquia Calendar

Download as iCal file

Experimental Mathematics Seminar

Cyclic permutations, shuffles, and quasi-symmetric functions

Ron Adin, Bar Ilan University

Location:  zoom
Date & time: Thursday, 04 February 2021 at 5:00PM - 6:00PM

Abstract: Richard Stanley proved that the distribution of descent number over all the shuffles of two permutations depends only on the descent numbers of the permutations.

We present an explicit cyclic analogue of this result. The tools used for the proof include a new cyclic counterpart of Gessels quasi-symmetric functions, an unusual ring homomorphism, and a mysterious binomial identity with an interesting history.

Based on joint work with Ira Gessel, Vic Reiner, and Yuval Roichman.
password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.