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Experimental Mathematics Seminar

Combinatorics behind the degenerate Eulerian numbers

Orli Herscovici, Georgia Tech

Location:  Zoom
Date & time: Thursday, 21 October 2021 at 5:00PM - 6:00PM

Abstract: Works of Carlitz gave an inspiration to many researchers to develop different generalizations of the Eulerian polynomials and numbers. Many of those generalizations have a pure analytical character. It is known that the classical Eulerian numbers and some of their generalizations are connected to combinatorial statistics on permutations. However, the degenerate Eulerian numbers had no combinatorial interpretation since their introduction by Carlitz in 1979. In this talk we consider a combinatorial model that generalizes the standard definition of permutations and show its relation to the degenerate Eulerian numbers.

Zoom Link https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]