Seminar Details
Combinatorics behind the Degenerate Eulerian Numbers
- Start Date: October 21, 2021
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Orli Herscovici - Georgia Institute of Technology
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- 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.
Link to video: https://vimeo.com/639362180