Umesh Shankar, IIT Bombay

Abstract

The study of the distribution of statistics over the symmetric group is nearly a century old and has given us a lot of elegant theorems and beautiful bijections. These distributions enjoy a lot of exciting properties such as log-concavity, gamma-positivity, real rootedness etc. In this talk, we will look at a variety of enumeration results for the subset of even permutations and make a case for the study of statistics over them.

Link to video: https://vimeo.com/1030083388?share=copy

Presented Via Zoom: https://rutgers.zoom.us/j/91865817691

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/